// Copyright 2023 TIER IV, Inc.
//
// Licensed under the Apache License, Version 2.0 (the "License");
// you may not use this file except in compliance with the License.
// You may obtain a copy of the License at
//
//     http://www.apache.org/licenses/LICENSE-2.0
//
// Unless required by applicable law or agreed to in writing, software
// distributed under the License is distributed on an "AS IS" BASIS,
// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
// See the License for the specific language governing permissions and
// limitations under the License.

#include "autoware_utils/math/sin_table.hpp"

namespace autoware_utils
{

const float g_sin_table[sin_table_size] = {
  0.0000000000000000f, 0.0000479368996031f, 0.0000958737990960f, 0.0001438106983686f,
  0.0001917475973107f, 0.0002396844958122f, 0.0002876213937629f, 0.0003355582910527f,
  0.0003834951875714f, 0.0004314320832088f, 0.0004793689778549f, 0.0005273058713993f,
  0.0005752427637321f, 0.0006231796547429f, 0.0006711165443218f, 0.0007190534323584f,
  0.0007669903187427f, 0.0008149272033645f, 0.0008628640861136f, 0.0009108009668800f,
  0.0009587378455533f, 0.0010066747220235f, 0.0010546115961805f, 0.0011025484679140f,
  0.0011504853371138f, 0.0011984222036700f, 0.0012463590674722f, 0.0012942959284104f,
  0.0013422327863743f, 0.0013901696412539f, 0.0014381064929389f, 0.0014860433413193f,
  0.0015339801862848f, 0.0015819170277253f, 0.0016298538655306f, 0.0016777906995906f,
  0.0017257275297951f, 0.0017736643560340f, 0.0018216011781972f, 0.0018695379961743f,
  0.0019174748098554f, 0.0019654116191302f, 0.0020133484238887f, 0.0020612852240205f,
  0.0021092220194156f, 0.0021571588099639f, 0.0022050955955551f, 0.0022530323760791f,
  0.0023009691514258f, 0.0023489059214850f, 0.0023968426861465f, 0.0024447794453002f,
  0.0024927161988359f, 0.0025406529466435f, 0.0025885896886128f, 0.0026365264246337f,
  0.0026844631545960f, 0.0027323998783895f, 0.0027803365959041f, 0.0028282733070296f,
  0.0028762100116560f, 0.0029241467096729f, 0.0029720834009704f, 0.0030200200854381f,
  0.0030679567629660f, 0.0031158934334439f, 0.0031638300967616f, 0.0032117667528090f,
  0.0032597034014760f, 0.0033076400426523f, 0.0033555766762279f, 0.0034035133020925f,
  0.0034514499201360f, 0.0034993865302483f, 0.0035473231323191f, 0.0035952597262385f,
  0.0036431963118961f, 0.0036911328891818f, 0.0037390694579855f, 0.0037870060181970f,
  0.0038349425697062f, 0.0038828791124029f, 0.0039308156461770f, 0.0039787521709182f,
  0.0040266886865165f, 0.0040746251928617f, 0.0041225616898436f, 0.0041704981773521f,
  0.0042184346552770f, 0.0042663711235081f, 0.0043143075819354f, 0.0043622440304486f,
  0.0044101804689376f, 0.0044581168972923f, 0.0045060533154024f, 0.0045539897231579f,
  0.0046019261204486f, 0.0046498625071642f, 0.0046977988831948f, 0.0047457352484300f,
  0.0047936716027598f, 0.0048416079460740f, 0.0048895442782625f, 0.0049374805992150f,
  0.0049854169088215f, 0.0050333532069718f, 0.0050812894935556f, 0.0051292257684630f,
  0.0051771620315837f, 0.0052250982828075f, 0.0052730345220243f, 0.0053209707491240f,
  0.0053689069639963f, 0.0054168431665313f, 0.0054647793566185f, 0.0055127155341481f,
  0.0055606516990097f, 0.0056085878510932f, 0.0056565239902885f, 0.0057044601164854f,
  0.0057523962295737f, 0.0058003323294434f, 0.0058482684159842f, 0.0058962044890860f,
  0.0059441405486386f, 0.0059920765945320f, 0.0060400126266558f, 0.0060879486449000f,
  0.0061358846491545f, 0.0061838206393090f, 0.0062317566152534f, 0.0062796925768776f,
  0.0063276285240714f, 0.0063755644567246f, 0.0064235003747271f, 0.0064714362779688f,
  0.0065193721663395f, 0.0065673080397290f, 0.0066152438980271f, 0.0066631797411238f,
  0.0067111155689089f, 0.0067590513812722f, 0.0068069871781035f, 0.0068549229592928f,
  0.0069028587247298f, 0.0069507944743044f, 0.0069987302079064f, 0.0070466659254258f,
  0.0070946016267522f, 0.0071425373117757f, 0.0071904729803860f, 0.0072384086324730f,
  0.0072863442679265f, 0.0073342798866364f, 0.0073822154884925f, 0.0074301510733847f,
  0.0074780866412027f, 0.0075260221918366f, 0.0075739577251760f, 0.0076218932411109f,
  0.0076698287395311f, 0.0077177642203264f, 0.0077656996833868f, 0.0078136351286019f,
  0.0078615705558618f, 0.0079095059650562f, 0.0079574413560749f, 0.0080053767288079f,
  0.0080533120831450f, 0.0081012474189760f, 0.0081491827361907f, 0.0081971180346791f,
  0.0082450533143309f, 0.0082929885750360f, 0.0083409238166843f, 0.0083888590391656f,
  0.0084367942423698f, 0.0084847294261867f, 0.0085326645905061f, 0.0085805997352178f,
  0.0086285348602119f, 0.0086764699653780f, 0.0087244050506061f, 0.0087723401157859f,
  0.0088202751608074f, 0.0088682101855604f, 0.0089161451899347f, 0.0089640801738201f,
  0.0090120151371066f, 0.0090599500796840f, 0.0091078850014421f, 0.0091558199022707f,
  0.0092037547820598f, 0.0092516896406992f, 0.0092996244780786f, 0.0093475592940880f,
  0.0093954940886173f, 0.0094434288615561f, 0.0094913636127945f, 0.0095392983422223f,
  0.0095872330497292f, 0.0096351677352052f, 0.0096831023985401f, 0.0097310370396238f,
  0.0097789716583460f, 0.0098269062545967f, 0.0098748408282657f, 0.0099227753792429f,
  0.0099707099074180f, 0.0100186444126810f, 0.0100665788949217f, 0.0101145133540299f,
  0.0101624477898955f, 0.0102103822024084f, 0.0102583165914583f, 0.0103062509569352f,
  0.0103541852987288f, 0.0104021196167291f, 0.0104500539108259f, 0.0104979881809091f,
  0.0105459224268684f, 0.0105938566485937f, 0.0106417908459750f, 0.0106897250189019f,
  0.0107376591672645f, 0.0107855932909525f, 0.0108335273898558f, 0.0108814614638642f,
  0.0109293955128676f, 0.0109773295367558f, 0.0110252635354187f, 0.0110731975087462f,
  0.0111211314566280f, 0.0111690653789541f, 0.0112169992756143f, 0.0112649331464984f,
  0.0113128669914963f, 0.0113608008104978f, 0.0114087346033928f, 0.0114566683700712f,
  0.0115046021104227f, 0.0115525358243373f, 0.0116004695117048f, 0.0116484031724150f,
  0.0116963368063578f, 0.0117442704134231f, 0.0117922039935007f, 0.0118401375464804f,
  0.0118880710722521f, 0.0119360045707057f, 0.0119839380417309f, 0.0120318714852177f,
  0.0120798049010560f, 0.0121277382891354f, 0.0121756716493460f, 0.0122236049815776f,
  0.0122715382857199f, 0.0123194715616629f, 0.0123674048092965f, 0.0124153380285104f,
  0.0124632712191945f, 0.0125112043812387f, 0.0125591375145328f, 0.0126070706189667f,
  0.0126550036944302f, 0.0127029367408132f, 0.0127508697580056f, 0.0127988027458971f,
  0.0128467357043777f, 0.0128946686333371f, 0.0129426015326653f, 0.0129905344022521f,
  0.0130384672419873f, 0.0130864000517609f, 0.0131343328314626f, 0.0131822655809823f,
  0.0132301983002098f, 0.0132781309890351f, 0.0133260636473480f, 0.0133739962750382f,
  0.0134219288719958f, 0.0134698614381104f, 0.0135177939732721f, 0.0135657264773706f,
  0.0136136589502957f, 0.0136615913919375f, 0.0137095238021856f, 0.0137574561809299f,
  0.0138053885280604f, 0.0138533208434668f, 0.0139012531270390f, 0.0139491853786669f,
  0.0139971175982404f, 0.0140450497856492f, 0.0140929819407832f, 0.0141409140635323f,
  0.0141888461537863f, 0.0142367782114352f, 0.0142847102363687f, 0.0143326422284767f,
  0.0143805741876490f, 0.0144285061137756f, 0.0144764380067462f, 0.0145243698664507f,
  0.0145723016927791f, 0.0146202334856210f, 0.0146681652448665f, 0.0147160969704053f,
  0.0147640286621272f, 0.0148119603199223f, 0.0148598919436802f, 0.0149078235332910f,
  0.0149557550886443f, 0.0150036866096301f, 0.0150516180961383f, 0.0150995495480586f,
  0.0151474809652810f, 0.0151954123476953f, 0.0152433436951913f, 0.0152912750076590f,
  0.0153392062849881f, 0.0153871375270686f, 0.0154350687337902f, 0.0154829999050429f,
  0.0155309310407164f, 0.0155788621407008f, 0.0156267932048857f, 0.0156747242331611f,
  0.0157226552254169f, 0.0157705861815428f, 0.0158185171014287f, 0.0158664479849646f,
  0.0159143788320402f, 0.0159623096425454f, 0.0160102404163701f, 0.0160581711534041f,
  0.0161061018535373f, 0.0161540325166595f, 0.0162019631426607f, 0.0162498937314306f,
  0.0162978242828591f, 0.0163457547968361f, 0.0163936852732514f, 0.0164416157119949f,
  0.0164895461129564f, 0.0165374764760259f, 0.0165854068010931f, 0.0166333370880480f,
  0.0166812673367803f, 0.0167291975471800f, 0.0167771277191369f, 0.0168250578525408f,
  0.0168729879472817f, 0.0169209180032494f, 0.0169688480203336f, 0.0170167779984244f,
  0.0170647079374116f, 0.0171126378371849f, 0.0171605676976343f, 0.0172084975186497f,
  0.0172564273001209f, 0.0173043570419377f, 0.0173522867439900f, 0.0174002164061677f,
  0.0174481460283607f, 0.0174960756104587f, 0.0175440051523517f, 0.0175919346539296f,
  0.0176398641150821f, 0.0176877935356991f, 0.0177357229156705f, 0.0177836522548862f,
  0.0178315815532360f, 0.0178795108106098f, 0.0179274400268975f, 0.0179753692019888f,
  0.0180232983357737f, 0.0180712274281421f, 0.0181191564789837f, 0.0181670854881885f,
  0.0182150144556463f, 0.0182629433812470f, 0.0183108722648804f, 0.0183588011064364f,
  0.0184067299058048f, 0.0184546586628756f, 0.0185025873775386f, 0.0185505160496836f,
  0.0185984446792005f, 0.0186463732659792f, 0.0186943018099095f, 0.0187422303108814f,
  0.0187901587687846f, 0.0188380871835090f, 0.0188860155549445f, 0.0189339438829809f,
  0.0189818721675082f, 0.0190298004084161f, 0.0190777286055946f, 0.0191256567589335f,
  0.0191735848683226f, 0.0192215129336519f, 0.0192694409548112f, 0.0193173689316903f,
  0.0193652968641792f, 0.0194132247521676f, 0.0194611525955455f, 0.0195090803942027f,
  0.0195570081480291f, 0.0196049358569145f, 0.0196528635207489f, 0.0197007911394220f,
  0.0197487187128237f, 0.0197966462408440f, 0.0198445737233726f, 0.0198925011602995f,
  0.0199404285515144f, 0.0199883558969074f, 0.0200362831963681f, 0.0200842104497866f,
  0.0201321376570526f, 0.0201800648180560f, 0.0202279919326868f, 0.0202759190008347f,
  0.0203238460223896f, 0.0203717729972414f, 0.0204196999252800f, 0.0204676268063952f,
  0.0205155536404769f, 0.0205634804274149f, 0.0206114071670992f, 0.0206593338594196f,
  0.0207072605042659f, 0.0207551871015280f, 0.0208031136510959f, 0.0208510401528593f,
  0.0208989666067081f, 0.0209468930125323f, 0.0209948193702216f, 0.0210427456796659f,
  0.0210906719407551f, 0.0211385981533791f, 0.0211865243174277f, 0.0212344504327909f,
  0.0212823764993584f, 0.0213303025170201f, 0.0213782284856660f, 0.0214261544051858f,
  0.0214740802754695f, 0.0215220060964069f, 0.0215699318678879f, 0.0216178575898023f,
  0.0216657832620401f, 0.0217137088844910f, 0.0217616344570450f, 0.0218095599795920f,
  0.0218574854520217f, 0.0219054108742242f, 0.0219533362460891f, 0.0220012615675065f,
  0.0220491868383661f, 0.0220971120585579f, 0.0221450372279718f, 0.0221929623464975f,
  0.0222408874140250f, 0.0222888124304441f, 0.0223367373956447f, 0.0223846623095167f,
  0.0224325871719499f, 0.0224805119828343f, 0.0225284367420596f, 0.0225763614495159f,
  0.0226242861050928f, 0.0226722107086804f, 0.0227201352601684f, 0.0227680597594468f,
  0.0228159842064053f, 0.0228639086009340f, 0.0229118329429227f, 0.0229597572322612f,
  0.0230076814688394f, 0.0230556056525472f, 0.0231035297832744f, 0.0231514538609110f,
  0.0231993778853467f, 0.0232473018564716f, 0.0232952257741753f, 0.0233431496383480f,
  0.0233910734488793f, 0.0234389972056591f, 0.0234869209085774f, 0.0235348445575241f,
  0.0235827681523889f, 0.0236306916930618f, 0.0236786151794326f, 0.0237265386113912f,
  0.0237744619888276f, 0.0238223853116314f, 0.0238703085796928f, 0.0239182317929014f,
  0.0239661549511472f, 0.0240140780543201f, 0.0240620011023099f, 0.0241099240950065f,
  0.0241578470322999f, 0.0242057699140797f, 0.0242536927402361f, 0.0243016155106587f,
  0.0243495382252375f, 0.0243974608838624f, 0.0244453834864233f, 0.0244933060328099f,
  0.0245412285229123f, 0.0245891509566202f, 0.0246370733338236f, 0.0246849956544123f,
  0.0247329179182762f, 0.0247808401253052f, 0.0248287622753892f, 0.0248766843684180f,
  0.0249246064042815f, 0.0249725283828696f, 0.0250204503040721f, 0.0250683721677790f,
  0.0251162939738802f, 0.0251642157222654f, 0.0252121374128247f, 0.0252600590454477f,
  0.0253079806200246f, 0.0253559021364450f, 0.0254038235945990f, 0.0254517449943763f,
  0.0254996663356669f, 0.0255475876183606f, 0.0255955088423473f, 0.0256434300075169f,
  0.0256913511137593f, 0.0257392721609643f, 0.0257871931490219f, 0.0258351140778219f,
  0.0258830349472542f, 0.0259309557572087f, 0.0259788765075752f, 0.0260267971982436f,
  0.0260747178291039f, 0.0261226384000459f, 0.0261705589109594f, 0.0262184793617344f,
  0.0262663997522608f, 0.0263143200824283f, 0.0263622403521270f, 0.0264101605612467f,
  0.0264580807096772f, 0.0265060007973085f, 0.0265539208240304f, 0.0266018407897328f,
  0.0266497606943056f, 0.0266976805376387f, 0.0267456003196220f, 0.0267935200401453f,
  0.0268414396990985f, 0.0268893592963716f, 0.0269372788318543f, 0.0269851983054366f,
  0.0270331177170084f, 0.0270810370664596f, 0.0271289563536799f, 0.0271768755785594f,
  0.0272247947409879f, 0.0272727138408552f, 0.0273206328780514f, 0.0273685518524661f,
  0.0274164707639894f, 0.0274643896125112f, 0.0275123083979212f, 0.0275602271201094f,
  0.0276081457789657f, 0.0276560643743800f, 0.0277039829062421f, 0.0277519013744420f,
  0.0277998197788694f, 0.0278477381194144f, 0.0278956563959668f, 0.0279435746084164f,
  0.0279914927566532f, 0.0280394108405671f, 0.0280873288600479f, 0.0281352468149855f,
  0.0281831647052699f, 0.0282310825307908f, 0.0282790002914382f, 0.0283269179871020f,
  0.0283748356176721f, 0.0284227531830383f, 0.0284706706830906f, 0.0285185881177187f,
  0.0285665054868127f, 0.0286144227902624f, 0.0286623400279577f, 0.0287102571997885f,
  0.0287581743056446f, 0.0288060913454160f, 0.0288540083189926f, 0.0289019252262641f,
  0.0289498420671206f, 0.0289977588414520f, 0.0290456755491480f, 0.0290935921900986f,
  0.0291415087641937f, 0.0291894252713232f, 0.0292373417113770f, 0.0292852580842449f,
  0.0293331743898168f, 0.0293810906279827f, 0.0294290067986325f, 0.0294769229016559f,
  0.0295248389369430f, 0.0295727549043835f, 0.0296206708038675f, 0.0296685866352848f,
  0.0297165023985252f, 0.0297644180934787f, 0.0298123337200352f, 0.0298602492780845f,
  0.0299081647675166f, 0.0299560801882213f, 0.0300039955400885f, 0.0300519108230082f,
  0.0300998260368702f, 0.0301477411815644f, 0.0301956562569807f, 0.0302435712630091f,
  0.0302914861995393f, 0.0303394010664613f, 0.0303873158636650f, 0.0304352305910403f,
  0.0304831452484770f, 0.0305310598358651f, 0.0305789743530945f, 0.0306268888000550f,
  0.0306748031766366f, 0.0307227174827292f, 0.0307706317182225f, 0.0308185458830067f,
  0.0308664599769714f, 0.0309143740000067f, 0.0309622879520024f, 0.0310102018328484f,
  0.0310581156424347f, 0.0311060293806511f, 0.0311539430473875f, 0.0312018566425338f,
  0.0312497701659799f, 0.0312976836176157f, 0.0313455969973311f, 0.0313935103050160f,
  0.0314414235405603f, 0.0314893367038539f, 0.0315372497947867f, 0.0315851628132486f,
  0.0316330757591295f, 0.0316809886323193f, 0.0317289014327078f, 0.0317768141601851f,
  0.0318247268146409f, 0.0318726393959652f, 0.0319205519040479f, 0.0319684643387789f,
  0.0320163767000481f, 0.0320642889877453f, 0.0321122012017606f, 0.0321601133419837f,
  0.0322080254083046f, 0.0322559374006132f, 0.0323038493187994f, 0.0323517611627530f,
  0.0323996729323641f, 0.0324475846275224f, 0.0324954962481180f, 0.0325434077940406f,
  0.0325913192651802f, 0.0326392306614268f, 0.0326871419826701f, 0.0327350532288001f,
  0.0327829643997067f, 0.0328308754952799f, 0.0328787865154094f, 0.0329266974599853f,
  0.0329746083288973f, 0.0330225191220355f, 0.0330704298392897f, 0.0331183404805499f,
  0.0331662510457059f, 0.0332141615346476f, 0.0332620719472649f, 0.0333099822834478f,
  0.0333578925430861f, 0.0334058027260698f, 0.0334537128322888f, 0.0335016228616329f,
  0.0335495328139921f, 0.0335974426892562f, 0.0336453524873153f, 0.0336932622080591f,
  0.0337411718513776f, 0.0337890814171607f, 0.0338369909052983f, 0.0338849003156803f,
  0.0339328096481967f, 0.0339807189027372f, 0.0340286280791919f, 0.0340765371774506f,
  0.0341244461974033f, 0.0341723551389399f, 0.0342202640019501f, 0.0342681727863241f,
  0.0343160814919517f, 0.0343639901187227f, 0.0344118986665271f, 0.0344598071352548f,
  0.0345077155247957f, 0.0345556238350398f, 0.0346035320658769f, 0.0346514402171969f,
  0.0346993482888898f, 0.0347472562808454f, 0.0347951641929537f, 0.0348430720251046f,
  0.0348909797771880f, 0.0349388874490938f, 0.0349867950407119f, 0.0350347025519322f,
  0.0350826099826446f, 0.0351305173327391f, 0.0351784246021056f, 0.0352263317906339f,
  0.0352742388982139f, 0.0353221459247357f, 0.0353700528700891f, 0.0354179597341640f,
  0.0354658665168504f, 0.0355137732180380f, 0.0355616798376170f, 0.0356095863754770f,
  0.0356574928315082f, 0.0357053992056004f, 0.0357533054976435f, 0.0358012117075274f,
  0.0358491178351420f, 0.0358970238803773f, 0.0359449298431232f, 0.0359928357232695f,
  0.0360407415207062f, 0.0360886472353233f, 0.0361365528670105f, 0.0361844584156579f,
  0.0362323638811554f, 0.0362802692633928f, 0.0363281745622601f, 0.0363760797776473f,
  0.0364239849094441f, 0.0364718899575406f, 0.0365197949218266f, 0.0365676998021921f,
  0.0366156045985270f, 0.0366635093107212f, 0.0367114139386647f, 0.0367593184822472f,
  0.0368072229413588f, 0.0368551273158894f, 0.0369030316057289f, 0.0369509358107672f,
  0.0369988399308943f, 0.0370467439660000f, 0.0370946479159742f, 0.0371425517807070f,
  0.0371904555600881f, 0.0372383592540076f, 0.0372862628623553f, 0.0373341663850212f,
  0.0373820698218952f, 0.0374299731728672f, 0.0374778764378272f, 0.0375257796166649f,
  0.0375736827092705f, 0.0376215857155337f, 0.0376694886353446f, 0.0377173914685930f,
  0.0377652942151689f, 0.0378131968749621f, 0.0378610994478626f, 0.0379090019337604f,
  0.0379569043325453f, 0.0380048066441073f, 0.0380527088683363f, 0.0381006110051222f,
  0.0381485130543549f, 0.0381964150159244f, 0.0382443168897206f, 0.0382922186756334f,
  0.0383401203735527f, 0.0383880219833685f, 0.0384359235049707f, 0.0384838249382492f,
  0.0385317262830939f, 0.0385796275393948f, 0.0386275287070417f, 0.0386754297859247f,
  0.0387233307759336f, 0.0387712316769584f, 0.0388191324888890f, 0.0388670332116153f,
  0.0389149338450272f, 0.0389628343890147f, 0.0390107348434677f, 0.0390586352082761f,
  0.0391065354833299f, 0.0391544356685189f, 0.0392023357637332f, 0.0392502357688626f,
  0.0392981356837971f, 0.0393460355084265f, 0.0393939352426409f, 0.0394418348863301f,
  0.0394897344393841f, 0.0395376339016928f, 0.0395855332731462f, 0.0396334325536341f,
  0.0396813317430465f, 0.0397292308412734f, 0.0397771298482046f, 0.0398250287637301f,
  0.0398729275877398f, 0.0399208263201237f, 0.0399687249607716f, 0.0400166235095736f,
  0.0400645219664195f, 0.0401124203311993f, 0.0401603186038029f, 0.0402082167841203f,
  0.0402561148720413f, 0.0403040128674559f, 0.0403519107702541f, 0.0403998085803257f,
  0.0404477062975608f, 0.0404956039218492f, 0.0405435014530808f, 0.0405913988911457f,
  0.0406392962359337f, 0.0406871934873348f, 0.0407350906452389f, 0.0407829877095360f,
  0.0408308846801159f, 0.0408787815568687f, 0.0409266783396842f, 0.0409745750284524f,
  0.0410224716230632f, 0.0410703681234066f, 0.0411182645293725f, 0.0411661608408508f,
  0.0412140570577315f, 0.0412619531799045f, 0.0413098492072598f, 0.0413577451396872f,
  0.0414056409770767f, 0.0414535367193183f, 0.0415014323663020f, 0.0415493279179175f,
  0.0415972233740549f, 0.0416451187346041f, 0.0416930139994551f, 0.0417409091684978f,
  0.0417888042416221f, 0.0418366992187179f, 0.0418845940996753f, 0.0419324888843841f,
  0.0419803835727344f, 0.0420282781646159f, 0.0420761726599187f, 0.0421240670585328f,
  0.0421719613603479f, 0.0422198555652542f, 0.0422677496731415f, 0.0423156436838999f,
  0.0423635375974191f, 0.0424114314135892f, 0.0424593251323000f, 0.0425072187534417f,
  0.0425551122769040f, 0.0426030057025770f, 0.0426508990303505f, 0.0426987922601146f,
  0.0427466853917591f, 0.0427945784251741f, 0.0428424713602494f, 0.0428903641968750f,
  0.0429382569349408f, 0.0429861495743369f, 0.0430340421149530f, 0.0430819345566793f,
  0.0431298268994055f, 0.0431777191430218f, 0.0432256112874180f, 0.0432735033324840f,
  0.0433213952781098f, 0.0433692871241854f, 0.0434171788706007f, 0.0434650705172457f,
  0.0435129620640102f, 0.0435608535107843f, 0.0436087448574579f, 0.0436566361039210f,
  0.0437045272500634f, 0.0437524182957752f, 0.0438003092409463f, 0.0438482000854666f,
  0.0438960908292261f, 0.0439439814721147f, 0.0439918720140224f, 0.0440397624548392f,
  0.0440876527944549f, 0.0441355430327596f, 0.0441834331696432f, 0.0442313232049956f,
  0.0442792131387068f, 0.0443271029706668f, 0.0443749927007655f, 0.0444228823288928f,
  0.0444707718549387f, 0.0445186612787931f, 0.0445665506003461f, 0.0446144398194875f,
  0.0446623289361073f, 0.0447102179500955f, 0.0447581068613420f, 0.0448059956697368f,
  0.0448538843751698f, 0.0449017729775310f, 0.0449496614767103f, 0.0449975498725977f,
  0.0450454381650832f, 0.0450933263540567f, 0.0451412144394081f, 0.0451891024210274f,
  0.0452369902988046f, 0.0452848780726296f, 0.0453327657423924f, 0.0453806533079829f,
  0.0454285407692912f, 0.0454764281262070f, 0.0455243153786205f, 0.0455722025264216f,
  0.0456200895695001f, 0.0456679765077462f, 0.0457158633410497f, 0.0457637500693006f,
  0.0458116366923889f, 0.0458595232102044f, 0.0459074096226373f, 0.0459552959295773f,
  0.0460031821309146f, 0.0460510682265391f, 0.0460989542163406f, 0.0461468401002092f,
  0.0461947258780349f, 0.0462426115497076f, 0.0462904971151172f, 0.0463383825741537f,
  0.0463862679267072f, 0.0464341531726674f, 0.0464820383119245f, 0.0465299233443684f,
  0.0465778082698889f, 0.0466256930883762f, 0.0466735777997202f, 0.0467214624038107f,
  0.0467693469005379f, 0.0468172312897916f, 0.0468651155714618f, 0.0469129997454385f,
  0.0469608838116116f, 0.0470087677698711f, 0.0470566516201071f, 0.0471045353622093f,
  0.0471524189960679f, 0.0472003025215727f, 0.0472481859386138f, 0.0472960692470810f,
  0.0473439524468645f, 0.0473918355378541f, 0.0474397185199397f, 0.0474876013930115f,
  0.0475354841569593f, 0.0475833668116731f, 0.0476312493570429f, 0.0476791317929586f,
  0.0477270141193103f, 0.0477748963359878f, 0.0478227784428812f, 0.0478706604398803f,
  0.0479185423268753f, 0.0479664241037561f, 0.0480143057704126f, 0.0480621873267347f,
  0.0481100687726126f, 0.0481579501079361f, 0.0482058313325952f, 0.0482537124464799f,
  0.0483015934494801f, 0.0483494743414859f, 0.0483973551223872f, 0.0484452357920740f,
  0.0484931163504362f, 0.0485409967973638f, 0.0485888771327468f, 0.0486367573564752f,
  0.0486846374684389f, 0.0487325174685280f, 0.0487803973566323f, 0.0488282771326419f,
  0.0488761567964468f, 0.0489240363479368f, 0.0489719157870021f, 0.0490197951135325f,
  0.0490676743274180f, 0.0491155534285487f, 0.0491634324168144f, 0.0492113112921053f,
  0.0492591900543111f, 0.0493070687033220f, 0.0493549472390279f, 0.0494028256613188f,
  0.0494507039700847f, 0.0494985821652154f, 0.0495464602466011f, 0.0495943382141317f,
  0.0496422160676972f, 0.0496900938071875f, 0.0497379714324926f, 0.0497858489435025f,
  0.0498337263401073f, 0.0498816036221968f, 0.0499294807896610f, 0.0499773578423900f,
  0.0500252347802737f, 0.0500731116032021f, 0.0501209883110652f, 0.0501688649037529f,
  0.0502167413811553f, 0.0502646177431623f, 0.0503124939896639f, 0.0503603701205501f,
  0.0504082461357109f, 0.0504561220350362f, 0.0505039978184160f, 0.0505518734857404f,
  0.0505997490368993f, 0.0506476244717827f, 0.0506954997902805f, 0.0507433749922828f,
  0.0507912500776796f, 0.0508391250463608f, 0.0508869998982164f, 0.0509348746331364f,
  0.0509827492510108f, 0.0510306237517296f, 0.0510784981351827f, 0.0511263724012602f,
  0.0511742465498521f, 0.0512221205808482f, 0.0512699944941387f, 0.0513178682896135f,
  0.0513657419671626f, 0.0514136155266760f, 0.0514614889680436f, 0.0515093622911555f,
  0.0515572354959016f, 0.0516051085821720f, 0.0516529815498566f, 0.0517008543988454f,
  0.0517487271290285f, 0.0517965997402957f, 0.0518444722325371f, 0.0518923446056427f,
  0.0519402168595025f, 0.0519880889940065f, 0.0520359610090446f, 0.0520838329045069f,
  0.0521317046802833f, 0.0521795763362639f, 0.0522274478723386f, 0.0522753192883974f,
  0.0523231905843303f, 0.0523710617600274f, 0.0524189328153786f, 0.0524668037502738f,
  0.0525146745646032f, 0.0525625452582567f, 0.0526104158311242f, 0.0526582862830959f,
  0.0527061566140616f, 0.0527540268239114f, 0.0528018969125353f, 0.0528497668798233f,
  0.0528976367256653f, 0.0529455064499514f, 0.0529933760525716f, 0.0530412455334158f,
  0.0530891148923741f, 0.0531369841293365f, 0.0531848532441929f, 0.0532327222368334f,
  0.0532805911071479f, 0.0533284598550266f, 0.0533763284803592f, 0.0534241969830359f,
  0.0534720653629467f, 0.0535199336199816f, 0.0535678017540305f, 0.0536156697649835f,
  0.0536635376527305f, 0.0537114054171616f, 0.0537592730581668f, 0.0538071405756361f,
  0.0538550079694594f, 0.0539028752395269f, 0.0539507423857284f, 0.0539986094079540f,
  0.0540464763060937f, 0.0540943430800375f, 0.0541422097296753f, 0.0541900762548973f,
  0.0542379426555935f, 0.0542858089316537f, 0.0543336750829680f, 0.0543815411094265f,
  0.0544294070109191f, 0.0544772727873359f, 0.0545251384385668f, 0.0545730039645019f,
  0.0546208693650311f, 0.0546687346400445f, 0.0547165997894321f, 0.0547644648130839f,
  0.0548123297108899f, 0.0548601944827400f, 0.0549080591285244f, 0.0549559236481331f,
  0.0550037880414559f, 0.0550516523083830f, 0.0550995164488044f, 0.0551473804626100f,
  0.0551952443496899f, 0.0552431081099341f, 0.0552909717432326f, 0.0553388352494755f,
  0.0553866986285526f, 0.0554345618803541f, 0.0554824250047699f, 0.0555302880016901f,
  0.0555781508710047f, 0.0556260136126037f, 0.0556738762263770f, 0.0557217387122148f,
  0.0557696010700070f, 0.0558174632996437f, 0.0558653254010148f, 0.0559131873740105f,
  0.0559610492185206f, 0.0560089109344352f, 0.0560567725216443f, 0.0561046339800380f,
  0.0561524953095063f, 0.0562003565099391f, 0.0562482175812266f, 0.0562960785232586f,
  0.0563439393359253f, 0.0563918000191166f, 0.0564396605727226f, 0.0564875209966333f,
  0.0565353812907387f, 0.0565832414549288f, 0.0566311014890937f, 0.0566789613931233f,
  0.0567268211669077f, 0.0567746808103370f, 0.0568225403233010f, 0.0568703997056900f,
  0.0569182589573937f, 0.0569661180783024f, 0.0570139770683060f, 0.0570618359272946f,
  0.0571096946551581f, 0.0571575532517865f, 0.0572054117170700f, 0.0572532700508986f,
  0.0573011282531622f, 0.0573489863237508f, 0.0573968442625546f, 0.0574447020694635f,
  0.0574925597443676f, 0.0575404172871568f, 0.0575882746977213f, 0.0576361319759510f,
  0.0576839891217359f, 0.0577318461349662f, 0.0577797030155317f, 0.0578275597633226f,
  0.0578754163782289f, 0.0579232728601405f, 0.0579711292089476f, 0.0580189854245402f,
  0.0580668415068082f, 0.0581146974556417f, 0.0581625532709308f, 0.0582104089525655f,
  0.0582582645004358f, 0.0583061199144317f, 0.0583539751944432f, 0.0584018303403605f,
  0.0584496853520735f, 0.0584975402294722f, 0.0585453949724468f, 0.0585932495808871f,
  0.0586411040546833f, 0.0586889583937254f, 0.0587368125979035f, 0.0587846666671075f,
  0.0588325206012274f, 0.0588803744001534f, 0.0589282280637755f, 0.0589760815919836f,
  0.0590239349846679f, 0.0590717882417184f, 0.0591196413630250f, 0.0591674943484779f,
  0.0592153471979671f, 0.0592631999113825f, 0.0593110524886143f, 0.0593589049295525f,
  0.0594067572340871f, 0.0594546094021082f, 0.0595024614335058f, 0.0595503133281699f,
  0.0595981650859906f, 0.0596460167068579f, 0.0596938681906618f, 0.0597417195372925f,
  0.0597895707466399f, 0.0598374218185940f, 0.0598852727530450f, 0.0599331235498828f,
  0.0599809742089976f, 0.0600288247302792f, 0.0600766751136179f, 0.0601245253589035f,
  0.0601723754660263f, 0.0602202254348761f, 0.0602680752653431f, 0.0603159249573173f,
  0.0603637745106887f, 0.0604116239253475f, 0.0604594732011835f, 0.0605073223380869f,
  0.0605551713359478f, 0.0606030201946561f, 0.0606508689141019f, 0.0606987174941753f,
  0.0607465659347663f, 0.0607944142357649f, 0.0608422623970612f, 0.0608901104185453f,
  0.0609379583001072f, 0.0609858060416369f, 0.0610336536430245f, 0.0610815011041601f,
  0.0611293484249336f, 0.0611771956052352f, 0.0612250426449548f, 0.0612728895439826f,
  0.0613207363022086f, 0.0613685829195228f, 0.0614164293958153f, 0.0614642757309761f,
  0.0615121219248954f, 0.0615599679774631f, 0.0616078138885692f, 0.0616556596581040f,
  0.0617035052859573f, 0.0617513507720193f, 0.0617991961161800f, 0.0618470413183294f,
  0.0618948863783577f, 0.0619427312961549f, 0.0619905760716109f, 0.0620384207046160f,
  0.0620862651950601f, 0.0621341095428333f, 0.0621819537478256f, 0.0622297978099272f,
  0.0622776417290280f, 0.0623254855050181f, 0.0623733291377876f, 0.0624211726272266f,
  0.0624690159732250f, 0.0625168591756730f, 0.0625647022344606f, 0.0626125451494779f,
  0.0626603879206149f, 0.0627082305477617f, 0.0627560730308083f, 0.0628039153696449f,
  0.0628517575641614f, 0.0628995996142480f, 0.0629474415197946f, 0.0629952832806914f,
  0.0630431248968285f, 0.0630909663680958f, 0.0631388076943835f, 0.0631866488755815f,
  0.0632344899115801f, 0.0632823308022692f, 0.0633301715475388f, 0.0633780121472792f,
  0.0634258526013802f, 0.0634736929097321f, 0.0635215330722248f, 0.0635693730887485f,
  0.0636172129591931f, 0.0636650526834488f, 0.0637128922614056f, 0.0637607316929536f,
  0.0638085709779829f, 0.0638564101163835f, 0.0639042491080455f, 0.0639520879528589f,
  0.0639999266507139f, 0.0640477652015005f, 0.0640956036051088f, 0.0641434418614288f,
  0.0641912799703506f, 0.0642391179317643f, 0.0642869557455600f, 0.0643347934116277f,
  0.0643826309298575f, 0.0644304683001394f, 0.0644783055223636f, 0.0645261425964201f,
  0.0645739795221990f, 0.0646218162995903f, 0.0646696529284842f, 0.0647174894087707f,
  0.0647653257403399f, 0.0648131619230818f, 0.0648609979568866f, 0.0649088338416442f,
  0.0649566695772449f, 0.0650045051635786f, 0.0650523406005354f, 0.0651001758880055f,
  0.0651480110258788f, 0.0651958460140455f, 0.0652436808523957f, 0.0652915155408194f,
  0.0653393500792066f, 0.0653871844674476f, 0.0654350187054323f, 0.0654828527930509f,
  0.0655306867301933f, 0.0655785205167498f, 0.0656263541526103f, 0.0656741876376650f,
  0.0657220209718040f, 0.0657698541549172f, 0.0658176871868949f, 0.0658655200676271f,
  0.0659133527970038f, 0.0659611853749152f, 0.0660090178012513f, 0.0660568500759022f,
  0.0661046821987581f, 0.0661525141697089f, 0.0662003459886448f, 0.0662481776554558f,
  0.0662960091700321f, 0.0663438405322638f, 0.0663916717420408f, 0.0664395027992533f,
  0.0664873337037915f, 0.0665351644555453f, 0.0665829950544048f, 0.0666308255002602f,
  0.0666786557930016f, 0.0667264859325189f, 0.0667743159187024f, 0.0668221457514421f,
  0.0668699754306281f, 0.0669178049561505f, 0.0669656343278993f, 0.0670134635457648f,
  0.0670612926096368f, 0.0671091215194056f, 0.0671569502749613f, 0.0672047788761939f,
  0.0672526073229935f, 0.0673004356152502f, 0.0673482637528542f, 0.0673960917356954f,
  0.0674439195636641f, 0.0674917472366502f, 0.0675395747545439f, 0.0675874021172353f,
  0.0676352293246145f, 0.0676830563765715f, 0.0677308832729965f, 0.0677787100137796f,
  0.0678265365988109f, 0.0678743630279804f, 0.0679221893011782f, 0.0679700154182945f,
  0.0680178413792194f, 0.0680656671838429f, 0.0681134928320552f, 0.0681613183237463f,
  0.0682091436588063f, 0.0682569688371254f, 0.0683047938585937f, 0.0683526187231012f,
  0.0684004434305380f, 0.0684482679807943f, 0.0684960923737602f, 0.0685439166093257f,
  0.0685917406873809f, 0.0686395646078161f, 0.0686873883705212f, 0.0687352119753863f,
  0.0687830354223016f, 0.0688308587111572f, 0.0688786818418432f, 0.0689265048142497f,
  0.0689743276282667f, 0.0690221502837845f, 0.0690699727806930f, 0.0691177951188825f,
  0.0691656172982430f, 0.0692134393186646f, 0.0692612611800374f, 0.0693090828822516f,
  0.0693569044251972f, 0.0694047258087644f, 0.0694525470328432f, 0.0695003680973238f,
  0.0695481890020963f, 0.0695960097470508f, 0.0696438303320774f, 0.0696916507570662f,
  0.0697394710219073f, 0.0697872911264909f, 0.0698351110707070f, 0.0698829308544458f,
  0.0699307504775973f, 0.0699785699400517f, 0.0700263892416992f, 0.0700742083824298f,
  0.0701220273621335f, 0.0701698461807007f, 0.0702176648380212f, 0.0702654833339854f,
  0.0703133016684832f, 0.0703611198414049f, 0.0704089378526405f, 0.0704567557020801f,
  0.0705045733896139f, 0.0705523909151319f, 0.0706002082785243f, 0.0706480254796813f,
  0.0706958425184929f, 0.0707436593948492f, 0.0707914761086404f, 0.0708392926597565f,
  0.0708871090480878f, 0.0709349252735243f, 0.0709827413359562f, 0.0710305572352735f,
  0.0710783729713664f, 0.0711261885441250f, 0.0711740039534395f, 0.0712218191991999f,
  0.0712696342812964f, 0.0713174491996191f, 0.0713652639540581f, 0.0714130785445036f,
  0.0714608929708457f, 0.0715087072329744f, 0.0715565213307800f, 0.0716043352641526f,
  0.0716521490329822f, 0.0716999626371590f, 0.0717477760765732f, 0.0717955893511148f,
  0.0718434024606740f, 0.0718912154051410f, 0.0719390281844057f, 0.0719868407983585f,
  0.0720346532468893f, 0.0720824655298884f, 0.0721302776472458f, 0.0721780895988518f,
  0.0722259013845963f, 0.0722737130043696f, 0.0723215244580618f, 0.0723693357455630f,
  0.0724171468667634f, 0.0724649578215530f, 0.0725127686098221f, 0.0725605792314607f,
  0.0726083896863590f, 0.0726561999744071f, 0.0727040100954952f, 0.0727518200495133f,
  0.0727996298363517f, 0.0728474394559004f, 0.0728952489080496f, 0.0729430581926894f,
  0.0729908673097100f, 0.0730386762590016f, 0.0730864850404541f, 0.0731342936539578f,
  0.0731821020994029f, 0.0732299103766794f, 0.0732777184856775f, 0.0733255264262873f,
  0.0733733341983990f, 0.0734211418019027f, 0.0734689492366886f, 0.0735167565026468f,
  0.0735645635996674f, 0.0736123705276406f, 0.0736601772864565f, 0.0737079838760053f,
  0.0737557902961771f, 0.0738035965468620f, 0.0738514026279503f, 0.0738992085393319f,
  0.0739470142808972f, 0.0739948198525362f, 0.0740426252541390f, 0.0740904304855959f,
  0.0741382355467970f, 0.0741860404376323f, 0.0742338451579922f, 0.0742816497077666f,
  0.0743294540868458f, 0.0743772582951198f, 0.0744250623324790f, 0.0744728661988133f,
  0.0745206698940130f, 0.0745684734179682f, 0.0746162767705690f, 0.0746640799517056f,
  0.0747118829612682f, 0.0747596857991469f, 0.0748074884652318f, 0.0748552909594132f,
  0.0749030932815811f, 0.0749508954316257f, 0.0749986974094372f, 0.0750464992149057f,
  0.0750943008479213f, 0.0751421023083743f, 0.0751899035961548f, 0.0752377047111529f,
  0.0752855056532588f, 0.0753333064223626f, 0.0753811070183546f, 0.0754289074411248f,
  0.0754767076905634f, 0.0755245077665606f, 0.0755723076690065f, 0.0756201073977914f,
  0.0756679069528052f, 0.0757157063339383f, 0.0757635055410808f, 0.0758113045741228f,
  0.0758591034329544f, 0.0759069021174660f, 0.0759547006275475f, 0.0760024989630892f,
  0.0760502971239813f, 0.0760980951101138f, 0.0761458929213770f, 0.0761936905576610f,
  0.0762414880188561f, 0.0762892853048522f, 0.0763370824155397f, 0.0763848793508087f,
  0.0764326761105493f, 0.0764804726946517f, 0.0765282691030061f, 0.0765760653355026f,
  0.0766238613920315f, 0.0766716572724828f, 0.0767194529767468f, 0.0767672485047136f,
  0.0768150438562733f, 0.0768628390313163f, 0.0769106340297325f, 0.0769584288514122f,
  0.0770062234962456f, 0.0770540179641229f, 0.0771018122549341f, 0.0771496063685695f,
  0.0771974003049192f, 0.0772451940638735f, 0.0772929876453224f, 0.0773407810491562f,
  0.0773885742752650f, 0.0774363673235391f, 0.0774841601938685f, 0.0775319528861435f,
  0.0775797454002542f, 0.0776275377360909f, 0.0776753298935436f, 0.0777231218725025f,
  0.0777709136728579f, 0.0778187052945000f, 0.0778664967373188f, 0.0779142880012046f,
  0.0779620790860475f, 0.0780098699917377f, 0.0780576607181655f, 0.0781054512652209f,
  0.0781532416327942f, 0.0782010318207756f, 0.0782488218290552f, 0.0782966116575231f,
  0.0783444013060697f, 0.0783921907745850f, 0.0784399800629593f, 0.0784877691710827f,
  0.0785355580988455f, 0.0785833468461377f, 0.0786311354128496f, 0.0786789237988714f,
  0.0787267120040933f, 0.0787745000284054f, 0.0788222878716979f, 0.0788700755338610f,
  0.0789178630147849f, 0.0789656503143599f, 0.0790134374324759f, 0.0790612243690234f,
  0.0791090111238924f, 0.0791567976969731f, 0.0792045840881558f, 0.0792523702973305f,
  0.0793001563243876f, 0.0793479421692172f, 0.0793957278317094f, 0.0794435133117546f,
  0.0794912986092428f, 0.0795390837240642f, 0.0795868686561091f, 0.0796346534052677f,
  0.0796824379714301f, 0.0797302223544866f, 0.0797780065543272f, 0.0798257905708423f,
  0.0798735744039220f, 0.0799213580534565f, 0.0799691415193360f, 0.0800169248014508f,
  0.0800647078996909f, 0.0801124908139466f, 0.0801602735441081f, 0.0802080560900656f,
  0.0802558384517093f, 0.0803036206289294f, 0.0803514026216161f, 0.0803991844296596f,
  0.0804469660529500f, 0.0804947474913776f, 0.0805425287448327f, 0.0805903098132053f,
  0.0806380906963857f, 0.0806858713942641f, 0.0807336519067307f, 0.0807814322336757f,
  0.0808292123749893f, 0.0808769923305618f, 0.0809247721002832f, 0.0809725516840438f,
  0.0810203310817339f, 0.0810681102932436f, 0.0811158893184631f, 0.0811636681572826f,
  0.0812114468095924f, 0.0812592252752827f, 0.0813070035542436f, 0.0813547816463654f,
  0.0814025595515383f, 0.0814503372696524f, 0.0814981148005980f, 0.0815458921442654f,
  0.0815936693005447f, 0.0816414462693260f, 0.0816892230504998f, 0.0817369996439560f,
  0.0817847760495851f, 0.0818325522672771f, 0.0818803282969223f, 0.0819281041384109f,
  0.0819758797916331f, 0.0820236552564791f, 0.0820714305328392f, 0.0821192056206035f,
  0.0821669805196623f, 0.0822147552299058f, 0.0822625297512242f, 0.0823103040835077f,
  0.0823580782266465f, 0.0824058521805310f, 0.0824536259450511f, 0.0825013995200973f,
  0.0825491729055597f, 0.0825969461013285f, 0.0826447191072939f, 0.0826924919233463f,
  0.0827402645493757f, 0.0827880369852724f, 0.0828358092309267f, 0.0828835812862287f,
  0.0829313531510687f, 0.0829791248253369f, 0.0830268963089235f, 0.0830746676017188f,
  0.0831224387036129f, 0.0831702096144962f, 0.0832179803342587f, 0.0832657508627908f,
  0.0833135211999827f, 0.0833612913457246f, 0.0834090612999066f, 0.0834568310624192f,
  0.0835046006331524f, 0.0835523700119966f, 0.0836001391988418f, 0.0836479081935785f,
  0.0836956769960967f, 0.0837434456062868f, 0.0837912140240389f, 0.0838389822492433f,
  0.0838867502817902f, 0.0839345181215699f, 0.0839822857684725f, 0.0840300532223884f,
  0.0840778204832077f, 0.0841255875508207f, 0.0841733544251176f, 0.0842211211059886f,
  0.0842688875933241f, 0.0843166538870141f, 0.0843644199869490f, 0.0844121858930190f,
  0.0844599516051143f, 0.0845077171231252f, 0.0845554824469419f, 0.0846032475764546f,
  0.0846510125115536f, 0.0846987772521291f, 0.0847465417980714f, 0.0847943061492707f,
  0.0848420703056171f, 0.0848898342670011f, 0.0849375980333128f, 0.0849853616044424f,
  0.0850331249802803f, 0.0850808881607166f, 0.0851286511456415f, 0.0851764139349454f,
  0.0852241765285185f, 0.0852719389262510f, 0.0853197011280331f, 0.0853674631337551f,
  0.0854152249433073f, 0.0854629865565799f, 0.0855107479734632f, 0.0855585091938473f,
  0.0856062702176225f, 0.0856540310446792f, 0.0857017916749074f, 0.0857495521081976f,
  0.0857973123444399f, 0.0858450723835246f, 0.0858928322253418f, 0.0859405918697820f,
  0.0859883513167353f, 0.0860361105660920f, 0.0860838696177423f, 0.0861316284715766f,
  0.0861793871274849f, 0.0862271455853576f, 0.0862749038450850f, 0.0863226619065573f,
  0.0863704197696648f, 0.0864181774342976f, 0.0864659349003461f, 0.0865136921677006f,
  0.0865614492362512f, 0.0866092061058882f, 0.0866569627765020f, 0.0867047192479826f,
  0.0867524755202205f, 0.0868002315931059f, 0.0868479874665290f, 0.0868957431403801f,
  0.0869434986145494f, 0.0869912538889272f, 0.0870390089634038f, 0.0870867638378694f,
  0.0871345185122143f, 0.0871822729863288f, 0.0872300272601030f, 0.0872777813334274f,
  0.0873255352061921f, 0.0873732888782874f, 0.0874210423496035f, 0.0874687956200308f,
  0.0875165486894595f, 0.0875643015577799f, 0.0876120542248822f, 0.0876598066906567f,
  0.0877075589549937f, 0.0877553110177834f, 0.0878030628789161f, 0.0878508145382821f,
  0.0878985659957716f, 0.0879463172512749f, 0.0879940683046823f, 0.0880418191558841f,
  0.0880895698047705f, 0.0881373202512318f, 0.0881850704951582f, 0.0882328205364401f,
  0.0882805703749677f, 0.0883283200106313f, 0.0883760694433212f, 0.0884238186729276f,
  0.0884715676993408f, 0.0885193165224510f, 0.0885670651421487f, 0.0886148135583240f,
  0.0886625617708671f, 0.0887103097796685f, 0.0887580575846184f, 0.0888058051856070f,
  0.0888535525825246f, 0.0889012997752615f, 0.0889490467637080f, 0.0889967935477544f,
  0.0890445401272909f, 0.0890922865022078f, 0.0891400326723955f, 0.0891877786377441f,
  0.0892355243981440f, 0.0892832699534855f, 0.0893310153036588f, 0.0893787604485542f,
  0.0894265053880620f, 0.0894742501220725f, 0.0895219946504760f, 0.0895697389731627f,
  0.0896174830900230f, 0.0896652270009471f, 0.0897129707058253f, 0.0897607142045480f,
  0.0898084574970053f, 0.0898562005830876f, 0.0899039434626852f, 0.0899516861356884f,
  0.0899994286019873f, 0.0900471708614725f, 0.0900949129140341f, 0.0901426547595624f,
  0.0901903963979477f, 0.0902381378290803f, 0.0902858790528505f, 0.0903336200691487f,
  0.0903813608778650f, 0.0904291014788898f, 0.0904768418721133f, 0.0905245820574260f,
  0.0905723220347180f, 0.0906200618038797f, 0.0906678013648013f, 0.0907155407173732f,
  0.0907632798614856f, 0.0908110187970289f, 0.0908587575238934f, 0.0909064960419693f,
  0.0909542343511469f, 0.0910019724513166f, 0.0910497103423687f, 0.0910974480241934f,
  0.0911451854966810f, 0.0911929227597219f, 0.0912406598132064f, 0.0912883966570247f,
  0.0913361332910672f, 0.0913838697152241f, 0.0914316059293859f, 0.0914793419334426f,
  0.0915270777272848f, 0.0915748133108027f, 0.0916225486838865f, 0.0916702838464267f,
  0.0917180187983135f, 0.0917657535394371f, 0.0918134880696880f, 0.0918612223889565f,
  0.0919089564971327f, 0.0919566903941071f, 0.0920044240797700f, 0.0920521575540117f,
  0.0920998908167224f, 0.0921476238677925f, 0.0921953567071123f, 0.0922430893345722f,
  0.0922908217500624f, 0.0923385539534732f, 0.0923862859446949f, 0.0924340177236180f,
  0.0924817492901326f, 0.0925294806441291f, 0.0925772117854979f, 0.0926249427141292f,
  0.0926726734299133f, 0.0927204039327406f, 0.0927681342225014f, 0.0928158642990860f,
  0.0928635941623847f, 0.0929113238122879f, 0.0929590532486858f, 0.0930067824714688f,
  0.0930545114805272f, 0.0931022402757514f, 0.0931499688570316f, 0.0931976972242581f,
  0.0932454253773214f, 0.0932931533161117f, 0.0933408810405193f, 0.0933886085504345f,
  0.0934363358457478f, 0.0934840629263494f, 0.0935317897921296f, 0.0935795164429787f,
  0.0936272428787872f, 0.0936749690994453f, 0.0937226951048433f, 0.0937704208948716f,
  0.0938181464694205f, 0.0938658718283804f, 0.0939135969716415f, 0.0939613218990942f,
  0.0940090466106288f, 0.0940567711061357f, 0.0941044953855052f, 0.0941522194486276f,
  0.0941999432953932f, 0.0942476669256924f, 0.0942953903394156f, 0.0943431135364530f,
  0.0943908365166949f, 0.0944385592800318f, 0.0944862818263540f, 0.0945340041555518f,
  0.0945817262675154f, 0.0946294481621354f, 0.0946771698393020f, 0.0947248912989055f,
  0.0947726125408362f, 0.0948203335649846f, 0.0948680543712410f, 0.0949157749594957f,
  0.0949634953296390f, 0.0950112154815613f, 0.0950589354151529f, 0.0951066551303042f,
  0.0951543746269055f, 0.0952020939048471f, 0.0952498129640195f, 0.0952975318043129f,
  0.0953452504256176f, 0.0953929688278241f, 0.0954406870108227f, 0.0954884049745037f,
  0.0955361227187575f, 0.0955838402434744f, 0.0956315575485447f, 0.0956792746338588f,
  0.0957269914993072f, 0.0957747081447800f, 0.0958224245701677f, 0.0958701407753606f,
  0.0959178567602490f, 0.0959655725247234f, 0.0960132880686740f, 0.0960610033919913f,
  0.0961087184945655f, 0.0961564333762870f, 0.0962041480370463f, 0.0962518624767335f,
  0.0962995766952391f, 0.0963472906924535f, 0.0963950044682670f, 0.0964427180225699f,
  0.0964904313552526f, 0.0965381444662055f, 0.0965858573553189f, 0.0966335700224832f,
  0.0966812824675887f, 0.0967289946905259f, 0.0967767066911850f, 0.0968244184694564f,
  0.0968721300252305f, 0.0969198413583976f, 0.0969675524688482f, 0.0970152633564725f,
  0.0970629740211609f, 0.0971106844628039f, 0.0971583946812917f, 0.0972061046765147f,
  0.0972538144483633f, 0.0973015239967278f, 0.0973492333214987f, 0.0973969424225663f,
  0.0974446512998209f, 0.0974923599531529f, 0.0975400683824527f, 0.0975877765876107f,
  0.0976354845685172f, 0.0976831923250626f, 0.0977308998571373f, 0.0977786071646316f,
  0.0978263142474359f, 0.0978740211054406f, 0.0979217277385360f, 0.0979694341466125f,
  0.0980171403295606f, 0.0980648462872705f, 0.0981125520196327f, 0.0981602575265375f,
  0.0982079628078753f, 0.0982556678635364f, 0.0983033726934113f, 0.0983510772973904f,
  0.0983987816753639f, 0.0984464858272223f, 0.0984941897528560f, 0.0985418934521553f,
  0.0985895969250106f, 0.0986373001713123f, 0.0986850031909508f, 0.0987327059838164f,
  0.0987804085497996f, 0.0988281108887907f, 0.0988758130006802f, 0.0989235148853582f,
  0.0989712165427154f, 0.0990189179726421f, 0.0990666191750285f, 0.0991143201497652f,
  0.0991620208967425f, 0.0992097214158508f, 0.0992574217069805f, 0.0993051217700219f,
  0.0993528216048655f, 0.0994005212114017f, 0.0994482205895208f, 0.0994959197391132f,
  0.0995436186600693f, 0.0995913173522796f, 0.0996390158156343f, 0.0996867140500239f,
  0.0997344120553388f, 0.0997821098314694f, 0.0998298073783060f, 0.0998775046957391f,
  0.0999252017836591f, 0.0999728986419563f, 0.1000205952705211f, 0.1000682916692440f,
  0.1001159878380153f, 0.1001636837767255f, 0.1002113794852648f, 0.1002590749635238f,
  0.1003067702113929f, 0.1003544652287623f, 0.1004021600155226f, 0.1004498545715641f,
  0.1004975488967772f, 0.1005452429910524f, 0.1005929368542799f, 0.1006406304863503f,
  0.1006883238871540f, 0.1007360170565812f, 0.1007837099945225f, 0.1008314027008683f,
  0.1008790951755089f, 0.1009267874183347f, 0.1009744794292362f, 0.1010221712081038f,
  0.1010698627548278f, 0.1011175540692987f, 0.1011652451514069f, 0.1012129360010428f,
  0.1012606266180968f, 0.1013083170024593f, 0.1013560071540208f, 0.1014036970726716f,
  0.1014513867583021f, 0.1014990762108028f, 0.1015467654300640f, 0.1015944544159762f,
  0.1016421431684298f, 0.1016898316873153f, 0.1017375199725229f, 0.1017852080239432f,
  0.1018328958414665f, 0.1018805834249834f, 0.1019282707743840f, 0.1019759578895590f,
  0.1020236447703988f, 0.1020713314167936f, 0.1021190178286340f, 0.1021667040058104f,
  0.1022143899482132f, 0.1022620756557328f, 0.1023097611282596f, 0.1023574463656841f,
  0.1024051313678967f, 0.1024528161347878f, 0.1025005006662478f, 0.1025481849621672f,
  0.1025958690224363f, 0.1026435528469456f, 0.1026912364355856f, 0.1027389197882466f,
  0.1027866029048190f, 0.1028342857851934f, 0.1028819684292601f, 0.1029296508369096f,
  0.1029773330080322f, 0.1030250149425185f, 0.1030726966402588f, 0.1031203781011436f,
  0.1031680593250632f, 0.1032157403119082f, 0.1032634210615690f, 0.1033111015739360f,
  0.1033587818488996f, 0.1034064618863503f, 0.1034541416861785f, 0.1035018212482746f,
  0.1035495005725291f, 0.1035971796588323f, 0.1036448585070749f, 0.1036925371171471f,
  0.1037402154889394f, 0.1037878936223422f, 0.1038355715172461f, 0.1038832491735414f,
  0.1039309265911185f, 0.1039786037698680f, 0.1040262807096802f, 0.1040739574104456f,
  0.1041216338720546f, 0.1041693100943977f, 0.1042169860773653f, 0.1042646618208478f,
  0.1043123373247358f, 0.1043600125889196f, 0.1044076876132897f, 0.1044553623977365f,
  0.1045030369421506f, 0.1045507112464222f, 0.1045983853104419f, 0.1046460591341002f,
  0.1046937327172874f, 0.1047414060598940f, 0.1047890791618105f, 0.1048367520229274f,
  0.1048844246431350f, 0.1049320970223238f, 0.1049797691603842f, 0.1050274410572069f,
  0.1050751127126820f, 0.1051227841267003f, 0.1051704552991519f, 0.1052181262299276f,
  0.1052657969189176f, 0.1053134673660125f, 0.1053611375711026f, 0.1054088075340786f,
  0.1054564772548307f, 0.1055041467332495f, 0.1055518159692255f, 0.1055994849626490f,
  0.1056471537134106f, 0.1056948222214007f, 0.1057424904865098f, 0.1057901585086283f,
  0.1058378262876467f, 0.1058854938234554f, 0.1059331611159450f, 0.1059808281650058f,
  0.1060284949705284f, 0.1060761615324032f, 0.1061238278505207f, 0.1061714939247713f,
  0.1062191597550455f, 0.1062668253412337f, 0.1063144906832266f, 0.1063621557809144f,
  0.1064098206341877f, 0.1064574852429369f, 0.1065051496070526f, 0.1065528137264251f,
  0.1066004776009450f, 0.1066481412305026f, 0.1066958046149886f, 0.1067434677542934f,
  0.1067911306483074f, 0.1068387932969211f, 0.1068864557000250f, 0.1069341178575095f,
  0.1069817797692652f, 0.1070294414351825f, 0.1070771028551519f, 0.1071247640290639f,
  0.1071724249568088f, 0.1072200856382774f, 0.1072677460733599f, 0.1073154062619468f,
  0.1073630662039288f, 0.1074107258991961f, 0.1074583853476394f, 0.1075060445491491f,
  0.1075537035036156f, 0.1076013622109295f, 0.1076490206709813f, 0.1076966788836614f,
  0.1077443368488603f, 0.1077919945664685f, 0.1078396520363764f, 0.1078873092584747f,
  0.1079349662326537f, 0.1079826229588039f, 0.1080302794368158f, 0.1080779356665800f,
  0.1081255916479869f, 0.1081732473809269f, 0.1082209028652907f, 0.1082685581009686f,
  0.1083162130878512f, 0.1083638678258289f, 0.1084115223147923f, 0.1084591765546318f,
  0.1085068305452379f, 0.1085544842865012f, 0.1086021377783121f, 0.1086497910205611f,
  0.1086974440131387f, 0.1087450967559354f, 0.1087927492488418f, 0.1088404014917482f,
  0.1088880534845452f, 0.1089357052271233f, 0.1089833567193730f, 0.1090310079611848f,
  0.1090786589524492f, 0.1091263096930567f, 0.1091739601828978f, 0.1092216104218630f,
  0.1092692604098428f, 0.1093169101467277f, 0.1093645596324082f, 0.1094122088667748f,
  0.1094598578497180f, 0.1095075065811283f, 0.1095551550608963f, 0.1096028032889124f,
  0.1096504512650671f, 0.1096980989892510f, 0.1097457464613545f, 0.1097933936812682f,
  0.1098410406488826f, 0.1098886873640881f, 0.1099363338267754f, 0.1099839800368348f,
  0.1100316259941570f, 0.1100792716986324f, 0.1101269171501515f, 0.1101745623486049f,
  0.1102222072938831f, 0.1102698519858765f, 0.1103174964244757f, 0.1103651406095713f,
  0.1104127845410536f, 0.1104604282188133f, 0.1105080716427409f, 0.1105557148127269f,
  0.1106033577286617f, 0.1106510003904360f, 0.1106986427979402f, 0.1107462849510649f,
  0.1107939268497006f, 0.1108415684937377f, 0.1108892098830669f, 0.1109368510175786f,
  0.1109844918971634f, 0.1110321325217118f, 0.1110797728911143f, 0.1111274130052614f,
  0.1111750528640437f, 0.1112226924673517f, 0.1112703318150759f, 0.1113179709071069f,
  0.1113656097433352f, 0.1114132483236512f, 0.1114608866479456f, 0.1115085247161088f,
  0.1115561625280315f, 0.1116038000836040f, 0.1116514373827171f, 0.1116990744252611f,
  0.1117467112111266f, 0.1117943477402042f, 0.1118419840123843f, 0.1118896200275576f,
  0.1119372557856146f, 0.1119848912864457f, 0.1120325265299416f, 0.1120801615159927f,
  0.1121277962444897f, 0.1121754307153229f, 0.1122230649283831f, 0.1122706988835606f,
  0.1123183325807462f, 0.1123659660198302f, 0.1124135992007033f, 0.1124612321232559f,
  0.1125088647873787f, 0.1125564971929621f, 0.1126041293398968f, 0.1126517612280732f,
  0.1126993928573819f, 0.1127470242277134f, 0.1127946553389583f, 0.1128422861910072f,
  0.1128899167837505f, 0.1129375471170789f, 0.1129851771908828f, 0.1130328070050529f,
  0.1130804365594796f, 0.1131280658540536f, 0.1131756948886653f, 0.1132233236632054f,
  0.1132709521775643f, 0.1133185804316327f, 0.1133662084253011f, 0.1134138361584600f,
  0.1134614636309999f, 0.1135090908428116f, 0.1135567177937854f, 0.1136043444838120f,
  0.1136519709127819f, 0.1136995970805856f, 0.1137472229871138f, 0.1137948486322570f,
  0.1138424740159057f, 0.1138900991379505f, 0.1139377239982820f, 0.1139853485967907f,
  0.1140329729333672f, 0.1140805970079020f, 0.1141282208202858f, 0.1141758443704090f,
  0.1142234676581623f, 0.1142710906834361f, 0.1143187134461211f, 0.1143663359461079f,
  0.1144139581832869f, 0.1144615801575488f, 0.1145092018687842f, 0.1145568233168835f,
  0.1146044445017374f, 0.1146520654232364f, 0.1146996860812712f, 0.1147473064757322f,
  0.1147949266065101f, 0.1148425464734954f, 0.1148901660765786f, 0.1149377854156505f,
  0.1149854044906015f, 0.1150330233013221f, 0.1150806418477031f, 0.1151282601296349f,
  0.1151758781470082f, 0.1152234958997135f, 0.1152711133876413f, 0.1153187306106824f,
  0.1153663475687271f, 0.1154139642616662f, 0.1154615806893902f, 0.1155091968517897f,
  0.1155568127487553f, 0.1156044283801775f, 0.1156520437459469f, 0.1156996588459541f,
  0.1157472736800897f, 0.1157948882482443f, 0.1158425025503085f, 0.1158901165861728f,
  0.1159377303557278f, 0.1159853438588641f, 0.1160329570954724f, 0.1160805700654431f,
  0.1161281827686669f, 0.1161757952050344f, 0.1162234073744361f, 0.1162710192767627f,
  0.1163186309119048f, 0.1163662422797528f, 0.1164138533801975f, 0.1164614642131294f,
  0.1165090747784390f, 0.1165566850760171f, 0.1166042951057542f, 0.1166519048675408f,
  0.1166995143612677f, 0.1167471235868253f, 0.1167947325441043f, 0.1168423412329953f,
  0.1168899496533888f, 0.1169375578051755f, 0.1169851656882460f, 0.1170327733024908f,
  0.1170803806478006f, 0.1171279877240659f, 0.1171755945311775f, 0.1172232010690258f,
  0.1172708073375015f, 0.1173184133364951f, 0.1173660190658974f, 0.1174136245255988f,
  0.1174612297154900f, 0.1175088346354616f, 0.1175564392854042f, 0.1176040436652084f,
  0.1176516477747649f, 0.1176992516139641f, 0.1177468551826968f, 0.1177944584808536f,
  0.1178420615083250f, 0.1178896642650017f, 0.1179372667507742f, 0.1179848689655332f,
  0.1180324709091694f, 0.1180800725815732f, 0.1181276739826354f, 0.1181752751122465f,
  0.1182228759702972f, 0.1182704765566780f, 0.1183180768712797f, 0.1183656769139927f,
  0.1184132766847078f, 0.1184608761833155f, 0.1185084754097065f, 0.1185560743637714f,
  0.1186036730454007f, 0.1186512714544852f, 0.1186988695909154f, 0.1187464674545820f,
  0.1187940650453756f, 0.1188416623631868f, 0.1188892594079063f, 0.1189368561794246f,
  0.1189844526776323f, 0.1190320489024203f, 0.1190796448536789f, 0.1191272405312989f,
  0.1191748359351709f, 0.1192224310651855f, 0.1192700259212334f, 0.1193176205032051f,
  0.1193652148109914f, 0.1194128088444828f, 0.1194604026035699f, 0.1195079960881435f,
  0.1195555892980941f, 0.1196031822333124f, 0.1196507748936890f, 0.1196983672791145f,
  0.1197459593894796f, 0.1197935512246749f, 0.1198411427845911f, 0.1198887340691187f,
  0.1199363250781485f, 0.1199839158115710f, 0.1200315062692769f, 0.1200790964511569f,
  0.1201266863571015f, 0.1201742759870015f, 0.1202218653407474f, 0.1202694544182299f,
  0.1203170432193397f, 0.1203646317439674f, 0.1204122199920035f, 0.1204598079633389f,
  0.1205073956578641f, 0.1205549830754698f, 0.1206025702160466f, 0.1206501570794851f,
  0.1206977436656761f, 0.1207453299745101f, 0.1207929160058779f, 0.1208405017596700f,
  0.1208880872357771f, 0.1209356724340898f, 0.1209832573544989f, 0.1210308419968950f,
  0.1210784263611686f, 0.1211260104472106f, 0.1211735942549115f, 0.1212211777841619f,
  0.1212687610348526f, 0.1213163440068742f, 0.1213639267001173f, 0.1214115091144727f,
  0.1214590912498308f, 0.1215066731060826f, 0.1215542546831185f, 0.1216018359808293f,
  0.1216494169991055f, 0.1216969977378380f, 0.1217445781969172f, 0.1217921583762340f,
  0.1218397382756789f, 0.1218873178951426f, 0.1219348972345158f, 0.1219824762936892f,
  0.1220300550725534f, 0.1220776335709990f, 0.1221252117889168f, 0.1221727897261974f,
  0.1222203673827316f, 0.1222679447584098f, 0.1223155218531229f, 0.1223630986667615f,
  0.1224106751992162f, 0.1224582514503778f, 0.1225058274201369f, 0.1225534031083841f,
  0.1226009785150102f, 0.1226485536399059f, 0.1226961284829617f, 0.1227437030440685f,
  0.1227912773231168f, 0.1228388513199973f, 0.1228864250346007f, 0.1229339984668178f,
  0.1229815716165391f, 0.1230291444836553f, 0.1230767170680571f, 0.1231242893696353f,
  0.1231718613882805f, 0.1232194331238833f, 0.1232670045763345f, 0.1233145757455247f,
  0.1233621466313447f, 0.1234097172336850f, 0.1234572875524365f, 0.1235048575874897f,
  0.1235524273387354f, 0.1235999968060642f, 0.1236475659893669f, 0.1236951348885341f,
  0.1237427035034565f, 0.1237902718340248f, 0.1238378398801298f, 0.1238854076416620f,
  0.1239329751185122f, 0.1239805423105710f, 0.1240281092177293f, 0.1240756758398776f,
  0.1241232421769066f, 0.1241708082287071f, 0.1242183739951697f, 0.1242659394761852f,
  0.1243135046716442f, 0.1243610695814375f, 0.1244086342054557f, 0.1244561985435895f,
  0.1245037625957297f, 0.1245513263617669f, 0.1245988898415918f, 0.1246464530350952f,
  0.1246940159421676f, 0.1247415785627000f, 0.1247891408965829f, 0.1248367029437070f,
  0.1248842647039631f, 0.1249318261772419f, 0.1249793873634340f, 0.1250269482624302f,
  0.1250745088741212f, 0.1251220691983976f, 0.1251696292351503f, 0.1252171889842699f,
  0.1252647484456471f, 0.1253123076191726f, 0.1253598665047372f, 0.1254074251022315f,
  0.1254549834115462f, 0.1255025414325722f, 0.1255500991652000f, 0.1255976566093205f,
  0.1256452137648243f, 0.1256927706316021f, 0.1257403272095447f, 0.1257878834985428f,
  0.1258354394984870f, 0.1258829952092682f, 0.1259305506307770f, 0.1259781057629041f,
  0.1260256606055403f, 0.1260732151585763f, 0.1261207694219029f, 0.1261683233954106f,
  0.1262158770789904f, 0.1262634304725327f, 0.1263109835759286f, 0.1263585363890685f,
  0.1264060889118434f, 0.1264536411441438f, 0.1265011930858605f, 0.1265487447368843f,
  0.1265962960971058f, 0.1266438471664159f, 0.1266913979447052f, 0.1267389484318645f,
  0.1267864986277844f, 0.1268340485323558f, 0.1268815981454693f, 0.1269291474670158f,
  0.1269766964968859f, 0.1270242452349703f, 0.1270717936811598f, 0.1271193418353452f,
  0.1271668896974172f, 0.1272144372672664f, 0.1272619845447837f, 0.1273095315298598f,
  0.1273570782223854f, 0.1274046246222513f, 0.1274521707293482f, 0.1274997165435668f,
  0.1275472620647980f, 0.1275948072929323f, 0.1276423522278607f, 0.1276898968694738f,
  0.1277374412176623f, 0.1277849852723171f, 0.1278325290333288f, 0.1278800725005882f,
  0.1279276156739861f, 0.1279751585534132f, 0.1280227011387602f, 0.1280702434299179f,
  0.1281177854267771f, 0.1281653271292285f, 0.1282128685371628f, 0.1282604096504709f,
  0.1283079504690434f, 0.1283554909927711f, 0.1284030312215448f, 0.1284505711552553f,
  0.1284981107937932f, 0.1285456501370493f, 0.1285931891849144f, 0.1286407279372793f,
  0.1286882663940347f, 0.1287358045550714f, 0.1287833424202801f, 0.1288308799895515f,
  0.1288784172627765f, 0.1289259542398459f, 0.1289734909206503f, 0.1290210273050806f,
  0.1290685633930274f, 0.1291160991843816f, 0.1291636346790340f, 0.1292111698768752f,
  0.1292587047777961f, 0.1293062393816875f, 0.1293537736884400f, 0.1294013076979445f,
  0.1294488414100918f, 0.1294963748247726f, 0.1295439079418776f, 0.1295914407612977f,
  0.1296389732829236f, 0.1296865055066461f, 0.1297340374323560f, 0.1297815690599440f,
  0.1298291003893009f, 0.1298766314203176f, 0.1299241621528846f, 0.1299716925868930f,
  0.1300192227222333f, 0.1300667525587965f, 0.1301142820964733f, 0.1301618113351544f,
  0.1302093402747306f, 0.1302568689150928f, 0.1303043972561317f, 0.1303519252977381f,
  0.1303994530398027f, 0.1304469804822164f, 0.1304945076248699f, 0.1305420344676541f,
  0.1305895610104597f, 0.1306370872531774f, 0.1306846131956981f, 0.1307321388379126f,
  0.1307796641797117f, 0.1308271892209861f, 0.1308747139616267f, 0.1309222384015242f,
  0.1309697625405694f, 0.1310172863786531f, 0.1310648099156661f, 0.1311123331514993f,
  0.1311598560860433f, 0.1312073787191890f, 0.1312549010508272f, 0.1313024230808486f,
  0.1313499448091442f, 0.1313974662356046f, 0.1314449873601207f, 0.1314925081825833f,
  0.1315400287028831f, 0.1315875489209110f, 0.1316350688365578f, 0.1316825884497143f,
  0.1317301077602712f, 0.1317776267681194f, 0.1318251454731497f, 0.1318726638752529f,
  0.1319201819743198f, 0.1319676997702412f, 0.1320152172629078f, 0.1320627344522106f,
  0.1321102513380404f, 0.1321577679202878f, 0.1322052841988438f, 0.1322528001735992f,
  0.1323003158444447f, 0.1323478312112711f, 0.1323953462739694f, 0.1324428610324303f,
  0.1324903754865445f, 0.1325378896362030f, 0.1325854034812966f, 0.1326329170217160f,
  0.1326804302573521f, 0.1327279431880956f, 0.1327754558138375f, 0.1328229681344685f,
  0.1328704801498794f, 0.1329179918599611f, 0.1329655032646044f, 0.1330130143637001f,
  0.1330605251571391f, 0.1331080356448121f, 0.1331555458266099f, 0.1332030557024235f,
  0.1332505652721436f, 0.1332980745356610f, 0.1333455834928666f, 0.1333930921436512f,
  0.1334406004879057f, 0.1334881085255208f, 0.1335356162563874f, 0.1335831236803963f,
  0.1336306307974383f, 0.1336781376074044f, 0.1337256441101853f, 0.1337731503056718f,
  0.1338206561937547f, 0.1338681617743250f, 0.1339156670472735f, 0.1339631720124909f,
  0.1340106766698681f, 0.1340581810192960f, 0.1341056850606654f, 0.1341531887938671f,
  0.1342006922187920f, 0.1342481953353309f, 0.1342956981433747f, 0.1343432006428141f,
  0.1343907028335401f, 0.1344382047154434f, 0.1344857062884150f, 0.1345332075523457f,
  0.1345807085071262f, 0.1346282091526475f, 0.1346757094888004f, 0.1347232095154757f,
  0.1347707092325643f, 0.1348182086399571f, 0.1348657077375449f, 0.1349132065252185f,
  0.1349607050028687f, 0.1350082031703866f, 0.1350557010276628f, 0.1351031985745883f,
  0.1351506958110539f, 0.1351981927369504f, 0.1352456893521687f, 0.1352931856565997f,
  0.1353406816501342f, 0.1353881773326631f, 0.1354356727040772f, 0.1354831677642674f,
  0.1355306625131246f, 0.1355781569505396f, 0.1356256510764032f, 0.1356731448906064f,
  0.1357206383930399f, 0.1357681315835947f, 0.1358156244621617f, 0.1358631170286316f,
  0.1359106092828954f, 0.1359581012248438f, 0.1360055928543679f, 0.1360530841713584f,
  0.1361005751757062f, 0.1361480658673022f, 0.1361955562460372f, 0.1362430463118022f,
  0.1362905360644880f, 0.1363380255039854f, 0.1363855146301853f, 0.1364330034429787f,
  0.1364804919422563f, 0.1365279801279091f, 0.1365754679998279f, 0.1366229555579036f,
  0.1366704428020271f, 0.1367179297320892f, 0.1367654163479809f, 0.1368129026495930f,
  0.1368603886368164f, 0.1369078743095419f, 0.1369553596676605f, 0.1370028447110631f,
  0.1370503294396404f, 0.1370978138532835f, 0.1371452979518831f, 0.1371927817353302f,
  0.1372402652035156f, 0.1372877483563303f, 0.1373352311936651f, 0.1373827137154109f,
  0.1374301959214586f, 0.1374776778116990f, 0.1375251593860232f, 0.1375726406443219f,
  0.1376201215864860f, 0.1376676022124066f, 0.1377150825219743f, 0.1377625625150802f,
  0.1378100421916151f, 0.1378575215514699f, 0.1379050005945355f, 0.1379524793207029f,
  0.1379999577298628f, 0.1380474358219062f, 0.1380949135967241f, 0.1381423910542072f,
  0.1381898681942466f, 0.1382373450167330f, 0.1382848215215574f, 0.1383322977086107f,
  0.1383797735777839f, 0.1384272491289677f, 0.1384747243620532f, 0.1385221992769312f,
  0.1385696738734925f, 0.1386171481516282f, 0.1386646221112292f, 0.1387120957521862f,
  0.1387595690743904f, 0.1388070420777324f, 0.1388545147621034f, 0.1389019871273941f,
  0.1389494591734955f, 0.1389969309002985f, 0.1390444023076940f, 0.1390918733955729f,
  0.1391393441638262f, 0.1391868146123447f, 0.1392342847410194f, 0.1392817545497412f,
  0.1393292240384010f, 0.1393766932068897f, 0.1394241620550982f, 0.1394716305829175f,
  0.1395190987902385f, 0.1395665666769521f, 0.1396140342429491f, 0.1396615014881206f,
  0.1397089684123576f, 0.1397564350155507f, 0.1398039012975911f, 0.1398513672583696f,
  0.1398988328977772f, 0.1399462982157048f, 0.1399937632120433f, 0.1400412278866836f,
  0.1400886922395167f, 0.1401361562704335f, 0.1401836199793249f, 0.1402310833660819f,
  0.1402785464305954f, 0.1403260091727564f, 0.1403734715924556f, 0.1404209336895842f,
  0.1404683954640330f, 0.1405158569156930f, 0.1405633180444550f, 0.1406107788502102f,
  0.1406582393328492f, 0.1407056994922632f, 0.1407531593283431f, 0.1408006188409797f,
  0.1408480780300641f, 0.1408955368954871f, 0.1409429954371398f, 0.1409904536549130f,
  0.1410379115486977f, 0.1410853691183849f, 0.1411328263638655f, 0.1411802832850303f,
  0.1412277398817705f, 0.1412751961539769f, 0.1413226521015405f, 0.1413701077243522f,
  0.1414175630223030f, 0.1414650179952839f, 0.1415124726431856f, 0.1415599269658994f,
  0.1416073809633160f, 0.1416548346353265f, 0.1417022879818217f, 0.1417497410026927f,
  0.1417971936978304f, 0.1418446460671257f, 0.1418920981104697f, 0.1419395498277532f,
  0.1419870012188673f, 0.1420344522837028f, 0.1420819030221508f, 0.1421293534341023f,
  0.1421768035194481f, 0.1422242532780792f, 0.1422717027098866f, 0.1423191518147613f,
  0.1423666005925942f, 0.1424140490432763f, 0.1424614971666985f, 0.1425089449627519f,
  0.1425563924313273f, 0.1426038395723159f, 0.1426512863856084f, 0.1426987328710960f,
  0.1427461790286695f, 0.1427936248582199f, 0.1428410703596383f, 0.1428885155328156f,
  0.1429359603776427f, 0.1429834048940106f, 0.1430308490818104f, 0.1430782929409329f,
  0.1431257364712692f, 0.1431731796727102f, 0.1432206225451470f, 0.1432680650884704f,
  0.1433155073025715f, 0.1433629491873413f, 0.1434103907426707f, 0.1434578319684507f,
  0.1435052728645723f, 0.1435527134309265f, 0.1436001536674043f, 0.1436475935738966f,
  0.1436950331502945f, 0.1437424723964889f, 0.1437899113123707f, 0.1438373498978311f,
  0.1438847881527610f, 0.1439322260770514f, 0.1439796636705932f, 0.1440271009332774f,
  0.1440745378649952f, 0.1441219744656373f, 0.1441694107350950f, 0.1442168466732590f,
  0.1442642822800205f, 0.1443117175552703f, 0.1443591524988996f, 0.1444065871107993f,
  0.1444540213908605f, 0.1445014553389740f, 0.1445488889550309f, 0.1445963222389223f,
  0.1446437551905390f, 0.1446911878097722f, 0.1447386200965128f, 0.1447860520506518f,
  0.1448334836720802f, 0.1448809149606891f, 0.1449283459163693f, 0.1449757765390121f,
  0.1450232068285082f, 0.1450706367847488f, 0.1451180664076249f, 0.1451654956970274f,
  0.1452129246528475f, 0.1452603532749760f, 0.1453077815633040f, 0.1453552095177225f,
  0.1454026371381226f, 0.1454500644243952f, 0.1454974913764313f, 0.1455449179941221f,
  0.1455923442773583f, 0.1456397702260313f, 0.1456871958400318f, 0.1457346211192510f,
  0.1457820460635799f, 0.1458294706729094f, 0.1458768949471306f, 0.1459243188861345f,
  0.1459717424898122f, 0.1460191657580547f, 0.1460665886907529f, 0.1461140112877980f,
  0.1461614335490809f, 0.1462088554744927f, 0.1462562770639244f, 0.1463036983172669f,
  0.1463511192344115f, 0.1463985398152490f, 0.1464459600596705f, 0.1464933799675671f,
  0.1465407995388298f, 0.1465882187733495f, 0.1466356376710174f, 0.1466830562317245f,
  0.1467304744553617f, 0.1467778923418203f, 0.1468253098909911f, 0.1468727271027652f,
  0.1469201439770336f, 0.1469675605136875f, 0.1470149767126178f, 0.1470623925737155f,
  0.1471098080968718f, 0.1471572232819776f, 0.1472046381289240f, 0.1472520526376021f,
  0.1472994668079028f, 0.1473468806397173f, 0.1473942941329366f, 0.1474417072874517f,
  0.1474891201031536f, 0.1475365325799334f, 0.1475839447176823f, 0.1476313565162911f,
  0.1476787679756510f, 0.1477261790956530f, 0.1477735898761882f, 0.1478210003171476f,
  0.1478684104184222f, 0.1479158201799032f, 0.1479632296014816f, 0.1480106386830484f,
  0.1480580474244947f, 0.1481054558257116f, 0.1481528638865900f, 0.1482002716070212f,
  0.1482476789868960f, 0.1482950860261057f, 0.1483424927245412f, 0.1483898990820936f,
  0.1484373050986540f, 0.1484847107741134f, 0.1485321161083629f, 0.1485795211012936f,
  0.1486269257527965f, 0.1486743300627628f, 0.1487217340310834f, 0.1487691376576494f,
  0.1488165409423519f, 0.1488639438850820f, 0.1489113464857308f, 0.1489587487441892f,
  0.1490061506603484f, 0.1490535522340996f, 0.1491009534653336f, 0.1491483543539417f,
  0.1491957548998148f, 0.1492431551028441f, 0.1492905549629206f, 0.1493379544799355f,
  0.1493853536537797f, 0.1494327524843445f, 0.1494801509715207f, 0.1495275491151996f,
  0.1495749469152722f, 0.1496223443716297f, 0.1496697414841630f, 0.1497171382527632f,
  0.1497645346773215f, 0.1498119307577289f, 0.1498593264938766f, 0.1499067218856556f,
  0.1499541169329570f, 0.1500015116356718f, 0.1500489059936913f, 0.1500963000069064f,
  0.1501436936752082f, 0.1501910869984879f, 0.1502384799766366f, 0.1502858726095452f,
  0.1503332648971050f, 0.1503806568392070f, 0.1504280484357424f, 0.1504754396866022f,
  0.1505228305916774f, 0.1505702211508593f, 0.1506176113640389f, 0.1506650012311073f,
  0.1507123907519556f, 0.1507597799264750f, 0.1508071687545564f, 0.1508545572360910f,
  0.1509019453709700f, 0.1509493331590845f, 0.1509967206003254f, 0.1510441076945840f,
  0.1510914944417513f, 0.1511388808417185f, 0.1511862668943766f, 0.1512336525996168f,
  0.1512810379573302f, 0.1513284229674079f, 0.1513758076297410f, 0.1514231919442206f,
  0.1514705759107378f, 0.1515179595291838f, 0.1515653427994496f, 0.1516127257214264f,
  0.1516601082950053f, 0.1517074905200774f, 0.1517548723965339f, 0.1518022539242657f,
  0.1518496351031642f, 0.1518970159331203f, 0.1519443964140253f, 0.1519917765457701f,
  0.1520391563282461f, 0.1520865357613441f, 0.1521339148449555f, 0.1521812935789714f,
  0.1522286719632827f, 0.1522760499977808f, 0.1523234276823567f, 0.1523708050169015f,
  0.1524181820013063f, 0.1524655586354624f, 0.1525129349192608f, 0.1525603108525926f,
  0.1526076864353491f, 0.1526550616674212f, 0.1527024365487002f, 0.1527498110790773f,
  0.1527971852584434f, 0.1528445590866898f, 0.1528919325637077f, 0.1529393056893880f,
  0.1529866784636220f, 0.1530340508863009f, 0.1530814229573157f, 0.1531287946765577f,
  0.1531761660439178f, 0.1532235370592874f, 0.1532709077225575f, 0.1533182780336193f,
  0.1533656479923639f, 0.1534130175986824f, 0.1534603868524661f, 0.1535077557536061f,
  0.1535551243019934f, 0.1536024924975194f, 0.1536498603400750f, 0.1536972278295515f,
  0.1537445949658400f, 0.1537919617488317f, 0.1538393281784178f, 0.1538866942544893f,
  0.1539340599769374f, 0.1539814253456533f, 0.1540287903605282f, 0.1540761550214531f,
  0.1541235193283194f, 0.1541708832810180f, 0.1542182468794402f, 0.1542656101234772f,
  0.1543129730130201f, 0.1543603355479601f, 0.1544076977281882f, 0.1544550595535958f,
  0.1545024210240739f, 0.1545497821395138f, 0.1545971428998066f, 0.1546445033048434f,
  0.1546918633545155f, 0.1547392230487139f, 0.1547865823873299f, 0.1548339413702546f,
  0.1548812999973793f, 0.1549286582685951f, 0.1549760161837931f, 0.1550233737428645f,
  0.1550707309457005f, 0.1551180877921923f, 0.1551654442822311f, 0.1552128004157080f,
  0.1552601561925142f, 0.1553075116125409f, 0.1553548666756793f, 0.1554022213818206f,
  0.1554495757308559f, 0.1554969297226763f, 0.1555442833571732f, 0.1555916366342377f,
  0.1556389895537609f, 0.1556863421156341f, 0.1557336943197484f, 0.1557810461659951f,
  0.1558283976542652f, 0.1558757487844501f, 0.1559230995564409f, 0.1559704499701287f,
  0.1560178000254048f, 0.1560651497221604f, 0.1561124990602867f, 0.1561598480396748f,
  0.1562071966602159f, 0.1562545449218013f, 0.1563018928243221f, 0.1563492403676696f,
  0.1563965875517349f, 0.1564439343764092f, 0.1564912808415838f, 0.1565386269471498f,
  0.1565859726929984f, 0.1566333180790209f, 0.1566806631051084f, 0.1567280077711522f,
  0.1567753520770434f, 0.1568226960226732f, 0.1568700396079329f, 0.1569173828327137f,
  0.1569647256969068f, 0.1570120682004033f, 0.1570594103430945f, 0.1571067521248717f,
  0.1571540935456259f, 0.1572014346052485f, 0.1572487753036306f, 0.1572961156406635f,
  0.1573434556162382f, 0.1573907952302463f, 0.1574381344825787f, 0.1574854733731267f,
  0.1575328119017815f, 0.1575801500684344f, 0.1576274878729766f, 0.1576748253152992f,
  0.1577221623952936f, 0.1577694991128509f, 0.1578168354678624f, 0.1578641714602192f,
  0.1579115070898127f, 0.1579588423565339f, 0.1580061772602743f, 0.1580535118009249f,
  0.1581008459783770f, 0.1581481797925219f, 0.1581955132432507f, 0.1582428463304547f,
  0.1582901790540252f, 0.1583375114138533f, 0.1583848434098303f, 0.1584321750418475f,
  0.1584795063097960f, 0.1585268372135671f, 0.1585741677530520f, 0.1586214979281420f,
  0.1586688277387283f, 0.1587161571847022f, 0.1587634862659548f, 0.1588108149823775f,
  0.1588581433338614f, 0.1589054713202979f, 0.1589527989415781f, 0.1590001261975933f,
  0.1590474530882348f, 0.1590947796133937f, 0.1591421057729614f, 0.1591894315668290f,
  0.1592367569948878f, 0.1592840820570292f, 0.1593314067531443f, 0.1593787310831243f,
  0.1594260550468606f, 0.1594733786442444f, 0.1595207018751668f, 0.1595680247395193f,
  0.1596153472371931f, 0.1596626693680793f, 0.1597099911320692f, 0.1597573125290542f,
  0.1598046335589254f, 0.1598519542215742f, 0.1598992745168918f, 0.1599465944447694f,
  0.1599939140050983f, 0.1600412331977697f, 0.1600885520226751f, 0.1601358704797055f,
  0.1601831885687522f, 0.1602305062897066f, 0.1602778236424599f, 0.1603251406269034f,
  0.1603724572429283f, 0.1604197734904259f, 0.1604670893692874f, 0.1605144048794042f,
  0.1605617200206675f, 0.1606090347929686f, 0.1606563491961987f, 0.1607036632302492f,
  0.1607509768950112f, 0.1607982901903762f, 0.1608456031162353f, 0.1608929156724798f,
  0.1609402278590011f, 0.1609875396756903f, 0.1610348511224388f, 0.1610821621991379f,
  0.1611294729056788f, 0.1611767832419528f, 0.1612240932078512f, 0.1612714028032653f,
  0.1613187120280864f, 0.1613660208822058f, 0.1614133293655146f, 0.1614606374779043f,
  0.1615079452192661f, 0.1615552525894914f, 0.1616025595884713f, 0.1616498662160972f,
  0.1616971724722604f, 0.1617444783568522f, 0.1617917838697638f, 0.1618390890108866f,
  0.1618863937801118f, 0.1619336981773309f, 0.1619810022024349f, 0.1620283058553153f,
  0.1620756091358633f, 0.1621229120439703f, 0.1621702145795276f, 0.1622175167424264f,
  0.1622648185325580f, 0.1623121199498138f, 0.1623594209940851f, 0.1624067216652631f,
  0.1624540219632392f, 0.1625013218879046f, 0.1625486214391507f, 0.1625959206168689f,
  0.1626432194209503f, 0.1626905178512864f, 0.1627378159077683f, 0.1627851135902875f,
  0.1628324108987352f, 0.1628797078330028f, 0.1629270043929816f, 0.1629743005785628f,
  0.1630215963896378f, 0.1630688918260980f, 0.1631161868878346f, 0.1631634815747389f,
  0.1632107758867024f, 0.1632580698236162f, 0.1633053633853717f, 0.1633526565718603f,
  0.1633999493829732f, 0.1634472418186018f, 0.1634945338786375f, 0.1635418255629714f,
  0.1635891168714950f, 0.1636364078040996f, 0.1636836983606766f, 0.1637309885411171f,
  0.1637782783453127f, 0.1638255677731545f, 0.1638728568245340f, 0.1639201454993424f,
  0.1639674337974712f, 0.1640147217188115f, 0.1640620092632549f, 0.1641092964306925f,
  0.1641565832210158f, 0.1642038696341161f, 0.1642511556698847f, 0.1642984413282129f,
  0.1643457266089922f, 0.1643930115121138f, 0.1644402960374690f, 0.1644875801849493f,
  0.1645348639544460f, 0.1645821473458504f, 0.1646294303590538f, 0.1646767129939476f,
  0.1647239952504232f, 0.1647712771283718f, 0.1648185586276850f, 0.1648658397482539f,
  0.1649131204899699f, 0.1649604008527245f, 0.1650076808364089f, 0.1650549604409145f,
  0.1651022396661327f, 0.1651495185119547f, 0.1651967969782721f, 0.1652440750649760f,
  0.1652913527719580f, 0.1653386300991093f, 0.1653859070463213f, 0.1654331836134853f,
  0.1654804598004928f, 0.1655277356072350f, 0.1655750110336034f, 0.1656222860794893f,
  0.1656695607447841f, 0.1657168350293791f, 0.1657641089331658f, 0.1658113824560354f,
  0.1658586555978793f, 0.1659059283585889f, 0.1659532007380556f, 0.1660004727361708f,
  0.1660477443528258f, 0.1660950155879120f, 0.1661422864413207f, 0.1661895569129434f,
  0.1662368270026714f, 0.1662840967103961f, 0.1663313660360089f, 0.1663786349794011f,
  0.1664259035404641f, 0.1664731717190893f, 0.1665204395151682f, 0.1665677069285920f,
  0.1666149739592521f, 0.1666622406070399f, 0.1667095068718469f, 0.1667567727535644f,
  0.1668040382520837f, 0.1668513033672964f, 0.1668985680990936f, 0.1669458324473670f,
  0.1669930964120077f, 0.1670403599929073f, 0.1670876231899571f, 0.1671348860030485f,
  0.1671821484320729f, 0.1672294104769217f, 0.1672766721374863f, 0.1673239334136581f,
  0.1673711943053284f, 0.1674184548123888f, 0.1674657149347305f, 0.1675129746722449f,
  0.1675602340248236f, 0.1676074929923578f, 0.1676547515747390f, 0.1677020097718586f,
  0.1677492675836079f, 0.1677965250098784f, 0.1678437820505616f, 0.1678910387055487f,
  0.1679382949747312f, 0.1679855508580005f, 0.1680328063552480f, 0.1680800614663652f,
  0.1681273161912434f, 0.1681745705297741f, 0.1682218244818486f, 0.1682690780473584f,
  0.1683163312261948f, 0.1683635840182494f, 0.1684108364234135f, 0.1684580884415785f,
  0.1685053400726359f, 0.1685525913164770f, 0.1685998421729934f, 0.1686470926420763f,
  0.1686943427236173f, 0.1687415924175077f, 0.1687888417236390f, 0.1688360906419026f,
  0.1688833391721900f, 0.1689305873143924f, 0.1689778350684015f, 0.1690250824341085f,
  0.1690723294114050f, 0.1691195760001823f, 0.1691668222003320f, 0.1692140680117453f,
  0.1692613134343138f, 0.1693085584679289f, 0.1693558031124820f, 0.1694030473678645f,
  0.1694502912339680f, 0.1694975347106837f, 0.1695447777979033f, 0.1695920204955179f,
  0.1696392628034193f, 0.1696865047214987f, 0.1697337462496477f, 0.1697809873877576f,
  0.1698282281357198f, 0.1698754684934260f, 0.1699227084607674f, 0.1699699480376356f,
  0.1700171872239220f, 0.1700644260195179f, 0.1701116644243149f, 0.1701589024382045f,
  0.1702061400610781f, 0.1702533772928270f, 0.1703006141333429f, 0.1703478505825170f,
  0.1703950866402409f, 0.1704423223064061f, 0.1704895575809040f, 0.1705367924636260f,
  0.1705840269544636f, 0.1706312610533083f, 0.1706784947600515f, 0.1707257280745846f,
  0.1707729609967992f, 0.1708201935265867f, 0.1708674256638386f, 0.1709146574084462f,
  0.1709618887603012f, 0.1710091197192949f, 0.1710563502853189f, 0.1711035804582645f,
  0.1711508102380233f, 0.1711980396244867f, 0.1712452686175462f, 0.1712924972170932f,
  0.1713397254230193f, 0.1713869532352159f, 0.1714341806535744f, 0.1714814076779865f,
  0.1715286343083434f, 0.1715758605445368f, 0.1716230863864580f, 0.1716703118339986f,
  0.1717175368870500f, 0.1717647615455037f, 0.1718119858092512f, 0.1718592096781840f,
  0.1719064331521936f, 0.1719536562311713f, 0.1720008789150089f, 0.1720481012035976f,
  0.1720953230968290f, 0.1721425445945946f, 0.1721897656967859f, 0.1722369864032943f,
  0.1722842067140114f, 0.1723314266288286f, 0.1723786461476375f, 0.1724258652703294f,
  0.1724730839967960f, 0.1725203023269286f, 0.1725675202606189f, 0.1726147377977583f,
  0.1726619549382383f, 0.1727091716819503f, 0.1727563880287860f, 0.1728036039786368f,
  0.1728508195313941f, 0.1728980346869495f, 0.1729452494451945f, 0.1729924638060206f,
  0.1730396777693194f, 0.1730868913349822f, 0.1731341045029006f, 0.1731813172729662f,
  0.1732285296450703f, 0.1732757416191046f, 0.1733229531949606f, 0.1733701643725297f,
  0.1734173751517035f, 0.1734645855323734f, 0.1735117955144310f, 0.1735590050977679f,
  0.1736062142822754f, 0.1736534230678452f, 0.1737006314543688f, 0.1737478394417376f,
  0.1737950470298432f, 0.1738422542185770f, 0.1738894610078308f, 0.1739366673974959f,
  0.1739838733874638f, 0.1740310789776262f, 0.1740782841678744f, 0.1741254889581001f,
  0.1741726933481948f, 0.1742198973380500f, 0.1742671009275572f, 0.1743143041166079f,
  0.1743615069050937f, 0.1744087092929062f, 0.1744559112799368f, 0.1745031128660771f,
  0.1745503140512185f, 0.1745975148352527f, 0.1746447152180712f, 0.1746919151995656f,
  0.1747391147796272f, 0.1747863139581478f, 0.1748335127350187f, 0.1748807111101317f,
  0.1749279090833782f, 0.1749751066546497f, 0.1750223038238378f, 0.1750695005908340f,
  0.1751166969555299f, 0.1751638929178171f, 0.1752110884775870f, 0.1752582836347312f,
  0.1753054783891413f, 0.1753526727407088f, 0.1753998666893253f, 0.1754470602348824f,
  0.1754942533772714f, 0.1755414461163841f, 0.1755886384521120f, 0.1756358303843466f,
  0.1756830219129795f, 0.1757302130379022f, 0.1757774037590064f, 0.1758245940761834f,
  0.1758717839893250f, 0.1759189734983227f, 0.1759661626030680f, 0.1760133513034526f,
  0.1760605395993678f, 0.1761077274907054f, 0.1761549149773569f, 0.1762021020592139f,
  0.1762492887361679f, 0.1762964750081105f, 0.1763436608749332f, 0.1763908463365277f,
  0.1764380313927854f, 0.1764852160435980f, 0.1765324002888571f, 0.1765795841284542f,
  0.1766267675622809f, 0.1766739505902287f, 0.1767211332121893f, 0.1767683154280542f,
  0.1768154972377150f, 0.1768626786410633f, 0.1769098596379906f, 0.1769570402283886f,
  0.1770042204121487f, 0.1770514001891627f, 0.1770985795593221f, 0.1771457585225184f,
  0.1771929370786433f, 0.1772401152275883f, 0.1772872929692451f, 0.1773344703035051f,
  0.1773816472302600f, 0.1774288237494015f, 0.1774759998608210f, 0.1775231755644102f,
  0.1775703508600607f, 0.1776175257476641f, 0.1776647002271118f, 0.1777118742982957f,
  0.1777590479611072f, 0.1778062212154379f, 0.1778533940611795f, 0.1779005664982235f,
  0.1779477385264616f, 0.1779949101457853f, 0.1780420813560862f, 0.1780892521572560f,
  0.1781364225491863f, 0.1781835925317686f, 0.1782307621048946f, 0.1782779312684559f,
  0.1783251000223440f, 0.1783722683664506f, 0.1784194363006673f, 0.1784666038248858f,
  0.1785137709389975f, 0.1785609376428942f, 0.1786081039364674f, 0.1786552698196088f,
  0.1787024352922100f, 0.1787496003541625f, 0.1787967650053581f, 0.1788439292456883f,
  0.1788910930750447f, 0.1789382564933190f, 0.1789854195004028f, 0.1790325820961877f,
  0.1790797442805654f, 0.1791269060534274f, 0.1791740674146654f, 0.1792212283641709f,
  0.1792683889018357f, 0.1793155490275514f, 0.1793627087412096f, 0.1794098680427019f,
  0.1794570269319199f, 0.1795041854087553f, 0.1795513434730997f, 0.1795985011248448f,
  0.1796456583638822f, 0.1796928151901034f, 0.1797399716034002f, 0.1797871276036642f,
  0.1798342831907871f, 0.1798814383646604f, 0.1799285931251758f, 0.1799757474722250f,
  0.1800229014056995f, 0.1800700549254911f, 0.1801172080314914f, 0.1801643607235919f,
  0.1802115130016845f, 0.1802586648656606f, 0.1803058163154120f, 0.1803529673508303f,
  0.1804001179718072f, 0.1804472681782343f, 0.1804944179700033f, 0.1805415673470057f,
  0.1805887163091333f, 0.1806358648562778f, 0.1806830129883307f, 0.1807301607051838f,
  0.1807773080067286f, 0.1808244548928569f, 0.1808716013634603f, 0.1809187474184304f,
  0.1809658930576590f, 0.1810130382810377f, 0.1810601830884581f, 0.1811073274798119f,
  0.1811544714549908f, 0.1812016150138865f, 0.1812487581563905f, 0.1812959008823946f,
  0.1813430431917905f, 0.1813901850844699f, 0.1814373265603243f, 0.1814844676192454f,
  0.1815316082611250f, 0.1815787484858547f, 0.1816258882933261f, 0.1816730276834310f,
  0.1817201666560611f, 0.1817673052111080f, 0.1818144433484633f, 0.1818615810680188f,
  0.1819087183696662f, 0.1819558552532970f, 0.1820029917188031f, 0.1820501277660761f,
  0.1820972633950076f, 0.1821443986054894f, 0.1821915333974132f, 0.1822386677706706f,
  0.1822858017251533f, 0.1823329352607530f, 0.1823800683773614f, 0.1824272010748702f,
  0.1824743333531711f, 0.1825214652121558f, 0.1825685966517159f, 0.1826157276717431f,
  0.1826628582721293f, 0.1827099884527660f, 0.1827571182135449f, 0.1828042475543578f,
  0.1828513764750963f, 0.1828985049756522f, 0.1829456330559171f, 0.1829927607157828f,
  0.1830398879551410f, 0.1830870147738832f, 0.1831341411719014f, 0.1831812671490871f,
  0.1832283927053321f, 0.1832755178405281f, 0.1833226425545668f, 0.1833697668473399f,
  0.1834168907187391f, 0.1834640141686561f, 0.1835111371969827f, 0.1835582598036105f,
  0.1836053819884313f, 0.1836525037513368f, 0.1836996250922186f, 0.1837467460109686f,
  0.1837938665074784f, 0.1838409865816398f, 0.1838881062333445f, 0.1839352254624841f,
  0.1839823442689505f, 0.1840294626526353f, 0.1840765806134304f, 0.1841236981512272f,
  0.1841708152659177f, 0.1842179319573936f, 0.1842650482255465f, 0.1843121640702682f,
  0.1843592794914505f, 0.1844063944889850f, 0.1844535090627636f, 0.1845006232126779f,
  0.1845477369386196f, 0.1845948502404806f, 0.1846419631181524f, 0.1846890755715270f,
  0.1847361876004960f, 0.1847832992049511f, 0.1848304103847841f, 0.1848775211398868f,
  0.1849246314701508f, 0.1849717413754679f, 0.1850188508557299f, 0.1850659599108286f,
  0.1851130685406555f, 0.1851601767451026f, 0.1852072845240615f, 0.1852543918774240f,
  0.1853014988050819f, 0.1853486053069269f, 0.1853957113828507f, 0.1854428170327451f,
  0.1854899222565019f, 0.1855370270540128f, 0.1855841314251695f, 0.1856312353698639f,
  0.1856783388879876f, 0.1857254419794325f, 0.1857725446440903f, 0.1858196468818528f,
  0.1858667486926117f, 0.1859138500762587f, 0.1859609510326857f, 0.1860080515617844f,
  0.1860551516634466f, 0.1861022513375641f, 0.1861493505840285f, 0.1861964494027318f,
  0.1862435477935656f, 0.1862906457564217f, 0.1863377432911919f, 0.1863848403977679f,
  0.1864319370760416f, 0.1864790333259047f, 0.1865261291472490f, 0.1865732245399663f,
  0.1866203195039483f, 0.1866674140390868f, 0.1867145081452736f, 0.1867616018224005f,
  0.1868086950703593f, 0.1868557878890417f, 0.1869028802783395f, 0.1869499722381445f,
  0.1869970637683485f, 0.1870441548688433f, 0.1870912455395207f, 0.1871383357802724f,
  0.1871854255909903f, 0.1872325149715661f, 0.1872796039218917f, 0.1873266924418587f,
  0.1873737805313591f, 0.1874208681902846f, 0.1874679554185270f, 0.1875150422159780f,
  0.1875621285825296f, 0.1876092145180734f, 0.1876563000225014f, 0.1877033850957052f,
  0.1877504697375768f, 0.1877975539480078f, 0.1878446377268901f, 0.1878917210741156f,
  0.1879388039895759f, 0.1879858864731629f, 0.1880329685247685f, 0.1880800501442844f,
  0.1881271313316024f, 0.1881742120866144f, 0.1882212924092121f, 0.1882683722992874f,
  0.1883154517567321f, 0.1883625307814380f, 0.1884096093732969f, 0.1884566875322006f,
  0.1885037652580410f, 0.1885508425507098f, 0.1885979194100989f, 0.1886449958361001f,
  0.1886920718286052f, 0.1887391473875061f, 0.1887862225126945f, 0.1888332972040623f,
  0.1888803714615014f, 0.1889274452849035f, 0.1889745186741604f, 0.1890215916291640f,
  0.1890686641498062f, 0.1891157362359787f, 0.1891628078875734f, 0.1892098791044822f,
  0.1892569498865967f, 0.1893040202338090f, 0.1893510901460108f, 0.1893981596230939f,
  0.1894452286649502f, 0.1894922972714716f, 0.1895393654425498f, 0.1895864331780767f,
  0.1896335004779442f, 0.1896805673420441f, 0.1897276337702682f, 0.1897746997625084f,
  0.1898217653186564f, 0.1898688304386043f, 0.1899158951222438f, 0.1899629593694667f,
  0.1900100231801650f, 0.1900570865542304f, 0.1901041494915548f, 0.1901512119920301f,
  0.1901982740555481f, 0.1902453356820007f, 0.1902923968712797f, 0.1903394576232770f,
  0.1903865179378845f, 0.1904335778149939f, 0.1904806372544972f, 0.1905276962562862f,
  0.1905747548202528f, 0.1906218129462888f, 0.1906688706342861f, 0.1907159278841366f,
  0.1907629846957321f, 0.1908100410689645f, 0.1908570970037257f, 0.1909041524999075f,
  0.1909512075574018f, 0.1909982621761005f, 0.1910453163558954f, 0.1910923700966785f,
  0.1911394233983414f, 0.1911864762607763f, 0.1912335286838749f, 0.1912805806675292f,
  0.1913276322116309f, 0.1913746833160720f, 0.1914217339807443f, 0.1914687842055398f,
  0.1915158339903502f, 0.1915628833350676f, 0.1916099322395837f, 0.1916569807037905f,
  0.1917040287275798f, 0.1917510763108436f, 0.1917981234534736f, 0.1918451701553619f,
  0.1918922164164003f, 0.1919392622364806f, 0.1919863076154948f, 0.1920333525533348f,
  0.1920803970498924f, 0.1921274411050596f, 0.1921744847187283f, 0.1922215278907903f,
  0.1922685706211375f, 0.1923156129096619f, 0.1923626547562553f, 0.1924096961608097f,
  0.1924567371232168f, 0.1925037776433688f, 0.1925508177211574f, 0.1925978573564745f,
  0.1926448965492121f, 0.1926919352992621f, 0.1927389736065163f, 0.1927860114708667f,
  0.1928330488922052f, 0.1928800858704238f, 0.1929271224054142f, 0.1929741584970684f,
  0.1930211941452784f, 0.1930682293499360f, 0.1931152641109332f, 0.1931622984281619f,
  0.1932093323015140f, 0.1932563657308814f, 0.1933033987161560f, 0.1933504312572299f,
  0.1933974633539947f, 0.1934444950063427f, 0.1934915262141655f, 0.1935385569773551f,
  0.1935855872958036f, 0.1936326171694028f, 0.1936796465980446f, 0.1937266755816210f,
  0.1937737041200238f, 0.1938207322131451f, 0.1938677598608768f, 0.1939147870631107f,
  0.1939618138197389f, 0.1940088401306532f, 0.1940558659957456f, 0.1941028914149080f,
  0.1941499163880324f, 0.1941969409150108f, 0.1942439649957349f, 0.1942909886300969f,
  0.1943380118179886f, 0.1943850345593020f, 0.1944320568539290f, 0.1944790787017616f,
  0.1945261001026916f, 0.1945731210566111f, 0.1946201415634121f, 0.1946671616229864f,
  0.1947141812352260f, 0.1947612004000228f, 0.1948082191172689f, 0.1948552373868561f,
  0.1949022552086765f, 0.1949492725826220f, 0.1949962895085844f, 0.1950433059864559f,
  0.1950903220161282f, 0.1951373375974936f, 0.1951843527304438f, 0.1952313674148708f,
  0.1952783816506665f, 0.1953253954377231f, 0.1953724087759324f, 0.1954194216651864f,
  0.1954664341053770f, 0.1955134460963962f, 0.1955604576381360f, 0.1956074687304885f,
  0.1956544793733454f, 0.1957014895665988f, 0.1957484993101407f, 0.1957955086038631f,
  0.1958425174476578f, 0.1958895258414171f, 0.1959365337850326f, 0.1959835412783966f,
  0.1960305483214008f, 0.1960775549139374f, 0.1961245610558983f, 0.1961715667471755f,
  0.1962185719876609f, 0.1962655767772466f, 0.1963125811158245f, 0.1963595850032866f,
  0.1964065884395250f, 0.1964535914244315f, 0.1965005939578982f, 0.1965475960398172f,
  0.1965945976700802f, 0.1966415988485795f, 0.1966885995752069f, 0.1967355998498544f,
  0.1967825996724141f, 0.1968295990427779f, 0.1968765979608380f, 0.1969235964264861f,
  0.1969705944396143f, 0.1970175920001148f, 0.1970645891078793f, 0.1971115857628000f,
  0.1971585819647689f, 0.1972055777136779f, 0.1972525730094191f, 0.1972995678518844f,
  0.1973465622409659f, 0.1973935561765556f, 0.1974405496585455f, 0.1974875426868277f,
  0.1975345352612940f, 0.1975815273818366f, 0.1976285190483474f, 0.1976755102607185f,
  0.1977225010188419f, 0.1977694913226096f, 0.1978164811719136f, 0.1978634705666460f,
  0.1979104595066987f, 0.1979574479919638f, 0.1980044360223333f, 0.1980514235976992f,
  0.1980984107179536f, 0.1981453973829884f, 0.1981923835926958f, 0.1982393693469677f,
  0.1982863546456962f, 0.1983333394887733f, 0.1983803238760909f, 0.1984273078075413f,
  0.1984742912830164f, 0.1985212743024082f, 0.1985682568656087f, 0.1986152389725100f,
  0.1986622206230042f, 0.1987092018169833f, 0.1987561825543392f, 0.1988031628349642f,
  0.1988501426587501f, 0.1988971220255891f, 0.1989441009353731f, 0.1989910793879943f,
  0.1990380573833447f, 0.1990850349213163f, 0.1991320120018011f, 0.1991789886246913f,
  0.1992259647898788f, 0.1992729404972558f, 0.1993199157467143f, 0.1993668905381462f,
  0.1994138648714438f, 0.1994608387464990f, 0.1995078121632039f, 0.1995547851214505f,
  0.1996017576211310f, 0.1996487296621373f, 0.1996957012443615f, 0.1997426723676958f,
  0.1997896430320321f, 0.1998366132372625f, 0.1998835829832791f, 0.1999305522699740f,
  0.1999775210972392f, 0.2000244894649667f, 0.2000714573730488f, 0.2001184248213773f,
  0.2001653918098445f, 0.2002123583383423f, 0.2002593244067628f, 0.2003062900149982f,
  0.2003532551629404f, 0.2004002198504817f, 0.2004471840775140f, 0.2004941478439294f,
  0.2005411111496200f, 0.2005880739944779f, 0.2006350363783952f, 0.2006819983012639f,
  0.2007289597629761f, 0.2007759207634240f, 0.2008228813024996f, 0.2008698413800950f,
  0.2009168009961023f, 0.2009637601504135f, 0.2010107188429208f, 0.2010576770735162f,
  0.2011046348420919f, 0.2011515921485399f, 0.2011985489927524f, 0.2012455053746214f,
  0.2012924612940390f, 0.2013394167508974f, 0.2013863717450886f, 0.2014333262765046f,
  0.2014802803450377f, 0.2015272339505800f, 0.2015741870930235f, 0.2016211397722603f,
  0.2016680919881825f, 0.2017150437406823f, 0.2017619950296518f, 0.2018089458549830f,
  0.2018558962165680f, 0.2019028461142991f, 0.2019497955480682f, 0.2019967445177676f,
  0.2020436930232893f, 0.2020906410645254f, 0.2021375886413680f, 0.2021845357537094f,
  0.2022314824014415f, 0.2022784285844565f, 0.2023253743026465f, 0.2023723195559037f,
  0.2024192643441202f, 0.2024662086671880f, 0.2025131525249994f, 0.2025600959174463f,
  0.2026070388444211f, 0.2026539813058158f, 0.2027009233015225f, 0.2027478648314333f,
  0.2027948058954404f, 0.2028417464934360f, 0.2028886866253121f, 0.2029356262909609f,
  0.2029825654902745f, 0.2030295042231450f, 0.2030764424894647f, 0.2031233802891255f,
  0.2031703176220198f, 0.2032172544880396f, 0.2032641908870770f, 0.2033111268190242f,
  0.2033580622837733f, 0.2034049972812166f, 0.2034519318112460f, 0.2034988658737538f,
  0.2035457994686322f, 0.2035927325957732f, 0.2036396652550691f, 0.2036865974464120f,
  0.2037335291696939f, 0.2037804604248072f, 0.2038273912116438f, 0.2038743215300961f,
  0.2039212513800561f, 0.2039681807614161f, 0.2040151096740681f, 0.2040620381179042f,
  0.2041089660928169f, 0.2041558935986980f, 0.2042028206354399f, 0.2042497472029346f,
  0.2042966733010744f, 0.2043435989297513f, 0.2043905240888577f, 0.2044374487782856f,
  0.2044843729979272f, 0.2045312967476747f, 0.2045782200274202f, 0.2046251428370560f,
  0.2046720651764742f, 0.2047189870455670f, 0.2047659084442265f, 0.2048128293723449f,
  0.2048597498298144f, 0.2049066698165272f, 0.2049535893323755f, 0.2050005083772515f,
  0.2050474269510473f, 0.2050943450536550f, 0.2051412626849670f, 0.2051881798448754f,
  0.2052350965332723f, 0.2052820127500500f, 0.2053289284951007f, 0.2053758437683165f,
  0.2054227585695896f, 0.2054696728988122f, 0.2055165867558766f, 0.2055635001406749f,
  0.2056104130530992f, 0.2056573254930419f, 0.2057042374603951f, 0.2057511489550510f,
  0.2057980599769018f, 0.2058449705258397f, 0.2058918806017568f, 0.2059387902045455f,
  0.2059856993340979f, 0.2060326079903062f, 0.2060795161730627f, 0.2061264238822594f,
  0.2061733311177887f, 0.2062202378795428f, 0.2062671441674138f, 0.2063140499812940f,
  0.2063609553210755f, 0.2064078601866507f, 0.2064547645779116f, 0.2065016684947506f,
  0.2065485719370599f, 0.2065954749047316f, 0.2066423773976580f, 0.2066892794157313f,
  0.2067361809588437f, 0.2067830820268875f, 0.2068299826197548f, 0.2068768827373380f,
  0.2069237823795291f, 0.2069706815462205f, 0.2070175802373044f, 0.2070644784526730f,
  0.2071113761922186f, 0.2071582734558332f, 0.2072051702434094f, 0.2072520665548391f,
  0.2072989623900147f, 0.2073458577488285f, 0.2073927526311725f, 0.2074396470369392f,
  0.2074865409660206f, 0.2075334344183092f, 0.2075803273936970f, 0.2076272198920764f,
  0.2076741119133396f, 0.2077210034573788f, 0.2077678945240863f, 0.2078147851133543f,
  0.2078616752250751f, 0.2079085648591409f, 0.2079554540154439f, 0.2080023426938765f,
  0.2080492308943309f, 0.2080961186166994f, 0.2081430058608741f, 0.2081898926267473f,
  0.2082367789142113f, 0.2082836647231584f, 0.2083305500534808f, 0.2083774349050708f,
  0.2084243192778206f, 0.2084712031716225f, 0.2085180865863688f, 0.2085649695219517f,
  0.2086118519782635f, 0.2086587339551964f, 0.2087056154526428f, 0.2087524964704948f,
  0.2087993770086449f, 0.2088462570669851f, 0.2088931366454079f, 0.2089400157438055f,
  0.2089868943620701f, 0.2090337725000940f, 0.2090806501577696f, 0.2091275273349890f,
  0.2091744040316446f, 0.2092212802476286f, 0.2092681559828334f, 0.2093150312371511f,
  0.2093619060104742f, 0.2094087803026948f, 0.2094556541137053f, 0.2095025274433979f,
  0.2095494002916649f, 0.2095962726583987f, 0.2096431445434915f, 0.2096900159468356f,
  0.2097368868683233f, 0.2097837573078469f, 0.2098306272652986f, 0.2098774967405709f,
  0.2099243657335559f, 0.2099712342441460f, 0.2100181022722334f, 0.2100649698177105f,
  0.2101118368804696f, 0.2101587034604030f, 0.2102055695574029f, 0.2102524351713617f,
  0.2102993003021717f, 0.2103461649497252f, 0.2103930291139145f, 0.2104398927946319f,
  0.2104867559917697f, 0.2105336187052203f, 0.2105804809348759f, 0.2106273426806288f,
  0.2106742039423714f, 0.2107210647199960f, 0.2107679250133949f, 0.2108147848224604f,
  0.2108616441470849f, 0.2109085029871605f, 0.2109553613425798f, 0.2110022192132350f,
  0.2110490765990184f, 0.2110959334998223f, 0.2111427899155391f, 0.2111896458460612f,
  0.2112365012912807f, 0.2112833562510901f, 0.2113302107253817f, 0.2113770647140477f,
  0.2114239182169807f, 0.2114707712340728f, 0.2115176237652164f, 0.2115644758103039f,
  0.2116113273692276f, 0.2116581784418798f, 0.2117050290281528f, 0.2117518791279391f,
  0.2117987287411309f, 0.2118455778676205f, 0.2118924265073004f, 0.2119392746600629f,
  0.2119861223258003f, 0.2120329695044050f, 0.2120798161957693f, 0.2121266623997855f,
  0.2121735081163461f, 0.2122203533453433f, 0.2122671980866695f, 0.2123140423402171f,
  0.2123608861058784f, 0.2124077293835458f, 0.2124545721731117f, 0.2125014144744683f,
  0.2125482562875081f, 0.2125950976121233f, 0.2126419384482065f, 0.2126887787956499f,
  0.2127356186543459f, 0.2127824580241869f, 0.2128292969050652f, 0.2128761352968731f,
  0.2129229731995032f, 0.2129698106128476f, 0.2130166475367989f, 0.2130634839712494f,
  0.2131103199160914f, 0.2131571553712173f, 0.2132039903365195f, 0.2132508248118904f,
  0.2132976587972223f, 0.2133444922924077f, 0.2133913252973388f, 0.2134381578119081f,
  0.2134849898360081f, 0.2135318213695309f, 0.2135786524123691f, 0.2136254829644150f,
  0.2136723130255610f, 0.2137191425956995f, 0.2137659716747228f, 0.2138128002625235f,
  0.2138596283589938f, 0.2139064559640261f, 0.2139532830775129f, 0.2140001096993465f,
  0.2140469358294194f, 0.2140937614676238f, 0.2141405866138523f, 0.2141874112679972f,
  0.2142342354299510f, 0.2142810590996060f, 0.2143278822768545f, 0.2143747049615891f,
  0.2144215271537022f, 0.2144683488530860f, 0.2145151700596332f, 0.2145619907732360f,
  0.2146088109937868f, 0.2146556307211780f, 0.2147024499553022f, 0.2147492686960517f,
  0.2147960869433189f, 0.2148429046969962f, 0.2148897219569759f, 0.2149365387231507f,
  0.2149833549954128f, 0.2150301707736547f, 0.2150769860577689f, 0.2151238008476476f,
  0.2151706151431834f, 0.2152174289442687f, 0.2152642422507958f, 0.2153110550626573f,
  0.2153578673797455f, 0.2154046792019530f, 0.2154514905291720f, 0.2154983013612950f,
  0.2155451116982145f, 0.2155919215398229f, 0.2156387308860127f, 0.2156855397366761f,
  0.2157323480917059f, 0.2157791559509942f, 0.2158259633144337f, 0.2158727701819166f,
  0.2159195765533355f, 0.2159663824285828f, 0.2160131878075509f, 0.2160599926901323f,
  0.2161067970762195f, 0.2161536009657049f, 0.2162004043584808f, 0.2162472072544398f,
  0.2162940096534743f, 0.2163408115554769f, 0.2163876129603398f, 0.2164344138679556f,
  0.2164812142782167f, 0.2165280141910157f, 0.2165748136062449f, 0.2166216125237967f,
  0.2166684109435638f, 0.2167152088654384f, 0.2167620062893131f, 0.2168088032150804f,
  0.2168555996426326f, 0.2169023955718624f, 0.2169491910026620f, 0.2169959859349241f,
  0.2170427803685410f, 0.2170895743034053f, 0.2171363677394093f, 0.2171831606764457f,
  0.2172299531144068f, 0.2172767450531851f, 0.2173235364926731f, 0.2173703274327633f,
  0.2174171178733482f, 0.2174639078143202f, 0.2175106972555717f, 0.2175574861969954f,
  0.2176042746384836f, 0.2176510625799289f, 0.2176978500212238f, 0.2177446369622606f,
  0.2177914234029319f, 0.2178382093431303f, 0.2178849947827481f, 0.2179317797216780f,
  0.2179785641598122f, 0.2180253480970434f, 0.2180721315332641f, 0.2181189144683667f,
  0.2181656969022438f, 0.2182124788347878f, 0.2182592602658912f, 0.2183060411954465f,
  0.2183528216233463f, 0.2183996015494830f, 0.2184463809737492f, 0.2184931598960373f,
  0.2185399383162398f, 0.2185867162342493f, 0.2186334936499582f, 0.2186802705632591f,
  0.2187270469740445f, 0.2187738228822068f, 0.2188205982876386f, 0.2188673731902325f,
  0.2189141475898808f, 0.2189609214864762f, 0.2190076948799112f, 0.2190544677700782f,
  0.2191012401568698f, 0.2191480120401785f, 0.2191947834198968f, 0.2192415542959173f,
  0.2192883246681325f, 0.2193350945364348f, 0.2193818639007169f, 0.2194286327608712f,
  0.2194754011167903f, 0.2195221689683667f, 0.2195689363154929f, 0.2196157031580615f,
  0.2196624694959650f, 0.2197092353290960f, 0.2197560006573469f, 0.2198027654806103f,
  0.2198495297987787f, 0.2198962936117447f, 0.2199430569194008f, 0.2199898197216396f,
  0.2200365820183536f, 0.2200833438094353f, 0.2201301050947773f, 0.2201768658742722f,
  0.2202236261478124f, 0.2202703859152905f, 0.2203171451765991f, 0.2203639039316307f,
  0.2204106621802779f, 0.2204574199224333f, 0.2205041771579893f, 0.2205509338868385f,
  0.2205976901088735f, 0.2206444458239869f, 0.2206912010320712f, 0.2207379557330189f,
  0.2207847099267226f, 0.2208314636130750f, 0.2208782167919685f, 0.2209249694632957f,
  0.2209717216269491f, 0.2210184732828214f, 0.2210652244308051f, 0.2211119750707928f,
  0.2211587252026770f, 0.2212054748263504f, 0.2212522239417054f, 0.2212989725486347f,
  0.2213457206470308f, 0.2213924682367863f, 0.2214392153177939f, 0.2214859618899460f,
  0.2215327079531352f, 0.2215794535072542f, 0.2216261985521954f, 0.2216729430878516f,
  0.2217196871141152f, 0.2217664306308789f, 0.2218131736380352f, 0.2218599161354767f,
  0.2219066581230961f, 0.2219533996007859f, 0.2220001405684386f, 0.2220468810259470f,
  0.2220936209732035f, 0.2221403604101008f, 0.2221870993365315f, 0.2222338377523882f,
  0.2222805756575634f, 0.2223273130519498f, 0.2223740499354399f, 0.2224207863079264f,
  0.2224675221693019f, 0.2225142575194589f, 0.2225609923582901f, 0.2226077266856882f,
  0.2226544605015455f, 0.2227011938057549f, 0.2227479265982089f, 0.2227946588788001f,
  0.2228413906474211f, 0.2228881219039646f, 0.2229348526483231f, 0.2229815828803893f,
  0.2230283126000558f, 0.2230750418072152f, 0.2231217705017601f, 0.2231684986835832f,
  0.2232152263525770f, 0.2232619535086342f, 0.2233086801516474f, 0.2233554062815093f,
  0.2234021318981124f, 0.2234488570013494f, 0.2234955815911129f, 0.2235423056672955f,
  0.2235890292297900f, 0.2236357522784888f, 0.2236824748132847f, 0.2237291968340703f,
  0.2237759183407382f, 0.2238226393331810f, 0.2238693598112914f, 0.2239160797749620f,
  0.2239627992240855f, 0.2240095181585545f, 0.2240562365782616f, 0.2241029544830995f,
  0.2241496718729609f, 0.2241963887477383f, 0.2242431051073245f, 0.2242898209516120f,
  0.2243365362804936f, 0.2243832510938619f, 0.2244299653916094f, 0.2244766791736290f,
  0.2245233924398132f, 0.2245701051900547f, 0.2246168174242461f, 0.2246635291422801f,
  0.2247102403440494f, 0.2247569510294466f, 0.2248036611983645f, 0.2248503708506955f,
  0.2248970799863325f, 0.2249437886051680f, 0.2249904967070948f, 0.2250372042920055f,
  0.2250839113597928f, 0.2251306179103494f, 0.2251773239435678f, 0.2252240294593408f,
  0.2252707344575612f, 0.2253174389381214f, 0.2253641429009143f, 0.2254108463458324f,
  0.2254575492727685f, 0.2255042516816153f, 0.2255509535722654f, 0.2255976549446115f,
  0.2256443557985463f, 0.2256910561339625f, 0.2257377559507527f, 0.2257844552488097f,
  0.2258311540280262f, 0.2258778522882947f, 0.2259245500295081f, 0.2259712472515590f,
  0.2260179439543400f, 0.2260646401377440f, 0.2261113358016635f, 0.2261580309459914f,
  0.2262047255706202f, 0.2262514196754427f, 0.2262981132603515f, 0.2263448063252395f,
  0.2263914988699992f, 0.2264381908945234f, 0.2264848823987048f, 0.2265315733824361f,
  0.2265782638456100f, 0.2266249537881192f, 0.2266716432098564f, 0.2267183321107143f,
  0.2267650204905857f, 0.2268117083493632f, 0.2268583956869396f, 0.2269050825032076f,
  0.2269517687980598f, 0.2269984545713891f, 0.2270451398230881f, 0.2270918245530495f,
  0.2271385087611662f, 0.2271851924473307f, 0.2272318756114358f, 0.2272785582533743f,
  0.2273252403730389f, 0.2273719219703222f, 0.2274186030451171f, 0.2274652835973162f,
  0.2275119636268123f, 0.2275586431334981f, 0.2276053221172664f, 0.2276520005780098f,
  0.2276986785156212f, 0.2277453559299932f, 0.2277920328210186f, 0.2278387091885901f,
  0.2278853850326005f, 0.2279320603529426f, 0.2279787351495089f, 0.2280254094221924f,
  0.2280720831708857f, 0.2281187563954817f, 0.2281654290958729f, 0.2282121012719522f,
  0.2282587729236124f, 0.2283054440507462f, 0.2283521146532462f, 0.2283987847310054f,
  0.2284454542839165f, 0.2284921233118721f, 0.2285387918147651f, 0.2285854597924882f,
  0.2286321272449342f, 0.2286787941719959f, 0.2287254605735659f, 0.2287721264495371f,
  0.2288187917998022f, 0.2288654566242540f, 0.2289121209227853f, 0.2289587846952889f,
  0.2290054479416574f, 0.2290521106617836f, 0.2290987728555604f, 0.2291454345228806f,
  0.2291920956636368f, 0.2292387562777219f, 0.2292854163650286f, 0.2293320759254497f,
  0.2293787349588780f, 0.2294253934652063f, 0.2294720514443274f, 0.2295187088961340f,
  0.2295653658205189f, 0.2296120222173749f, 0.2296586780865948f, 0.2297053334280714f,
  0.2297519882416975f, 0.2297986425273658f, 0.2298452962849692f, 0.2298919495144004f,
  0.2299386022155522f, 0.2299852543883175f, 0.2300319060325890f, 0.2300785571482595f,
  0.2301252077352219f, 0.2301718577933688f, 0.2302185073225932f, 0.2302651563227878f,
  0.2303118047938455f, 0.2303584527356589f, 0.2304051001481210f, 0.2304517470311246f,
  0.2304983933845624f, 0.2305450392083272f, 0.2305916845023119f, 0.2306383292664093f,
  0.2306849735005122f, 0.2307316172045134f, 0.2307782603783058f, 0.2308249030217820f,
  0.2308715451348350f, 0.2309181867173576f, 0.2309648277692426f, 0.2310114682903829f,
  0.2310581082806711f, 0.2311047477400003f, 0.2311513866682630f, 0.2311980250653524f,
  0.2312446629311611f, 0.2312913002655819f, 0.2313379370685077f, 0.2313845733398314f,
  0.2314312090794458f, 0.2314778442872436f, 0.2315244789631178f, 0.2315711131069611f,
  0.2316177467186665f, 0.2316643797981267f, 0.2317110123452346f, 0.2317576443598830f,
  0.2318042758419648f, 0.2318509067913728f, 0.2318975372079998f, 0.2319441670917387f,
  0.2319907964424824f, 0.2320374252601237f, 0.2320840535445555f, 0.2321306812956705f,
  0.2321773085133617f, 0.2322239351975219f, 0.2322705613480439f, 0.2323171869648207f,
  0.2323638120477451f, 0.2324104365967098f, 0.2324570606116078f, 0.2325036840923320f,
  0.2325503070387752f, 0.2325969294508303f, 0.2326435513283901f, 0.2326901726713475f,
  0.2327367934795954f, 0.2327834137530266f, 0.2328300334915341f, 0.2328766526950105f,
  0.2329232713633490f, 0.2329698894964422f, 0.2330165070941832f, 0.2330631241564647f,
  0.2331097406831797f, 0.2331563566742210f, 0.2332029721294815f, 0.2332495870488541f,
  0.2332962014322316f, 0.2333428152795070f, 0.2333894285905731f, 0.2334360413653228f,
  0.2334826536036491f, 0.2335292653054447f, 0.2335758764706026f, 0.2336224870990157f,
  0.2336690971905769f, 0.2337157067451789f, 0.2337623157627149f, 0.2338089242430775f,
  0.2338555321861598f, 0.2339021395918547f, 0.2339487464600550f, 0.2339953527906536f,
  0.2340419585835434f, 0.2340885638386174f, 0.2341351685557684f, 0.2341817727348894f,
  0.2342283763758732f, 0.2342749794786128f, 0.2343215820430010f, 0.2343681840689309f,
  0.2344147855562952f, 0.2344613865049869f, 0.2345079869148989f, 0.2345545867859242f,
  0.2346011861179556f, 0.2346477849108860f, 0.2346943831646085f, 0.2347409808790158f,
  0.2347875780540010f, 0.2348341746894569f, 0.2348807707852764f, 0.2349273663413526f,
  0.2349739613575783f, 0.2350205558338464f, 0.2350671497700499f, 0.2351137431660817f,
  0.2351603360218347f, 0.2352069283372019f, 0.2352535201120762f, 0.2353001113463505f,
  0.2353467020399178f, 0.2353932921926710f, 0.2354398818045031f, 0.2354864708753069f,
  0.2355330594049755f, 0.2355796473934017f, 0.2356262348404786f, 0.2356728217460990f,
  0.2357194081101558f, 0.2357659939325422f, 0.2358125792131509f, 0.2358591639518750f,
  0.2359057481486074f, 0.2359523318032410f, 0.2359989149156688f, 0.2360454974857838f,
  0.2360920795134789f, 0.2361386609986471f, 0.2361852419411813f, 0.2362318223409745f,
  0.2362784021979196f, 0.2363249815119096f, 0.2363715602828375f, 0.2364181385105963f,
  0.2364647161950788f, 0.2365112933361781f, 0.2365578699337872f, 0.2366044459877989f,
  0.2366510214981064f, 0.2366975964646025f, 0.2367441708871802f, 0.2367907447657325f,
  0.2368373181001524f, 0.2368838908903328f, 0.2369304631361668f, 0.2369770348375473f,
  0.2370236059943672f, 0.2370701766065196f, 0.2371167466738975f, 0.2371633161963939f,
  0.2372098851739016f, 0.2372564536063138f, 0.2373030214935233f, 0.2373495888354233f,
  0.2373961556319066f, 0.2374427218828663f, 0.2374892875881954f, 0.2375358527477868f,
  0.2375824173615336f, 0.2376289814293287f, 0.2376755449510652f, 0.2377221079266360f,
  0.2377686703559342f, 0.2378152322388527f, 0.2378617935752846f, 0.2379083543651229f,
  0.2379549146082605f, 0.2380014743045905f, 0.2380480334540059f, 0.2380945920563997f,
  0.2381411501116648f, 0.2381877076196944f, 0.2382342645803815f, 0.2382808209936189f,
  0.2383273768592998f, 0.2383739321773172f, 0.2384204869475641f, 0.2384670411699335f,
  0.2385135948443184f, 0.2385601479706119f, 0.2386067005487070f, 0.2386532525784966f,
  0.2386998040598740f, 0.2387463549927319f, 0.2387929053769636f, 0.2388394552124619f,
  0.2388860044991200f, 0.2389325532368309f, 0.2389791014254876f, 0.2390256490649832f,
  0.2390721961552106f, 0.2391187426960630f, 0.2391652886874333f, 0.2392118341292146f,
  0.2392583790213000f, 0.2393049233635824f, 0.2393514671559550f, 0.2393980103983107f,
  0.2394445530905426f, 0.2394910952325439f, 0.2395376368242074f, 0.2395841778654263f,
  0.2396307183560936f, 0.2396772582961023f, 0.2397237976853456f, 0.2397703365237165f,
  0.2398168748111080f, 0.2398634125474132f, 0.2399099497325251f, 0.2399564863663369f,
  0.2400030224487415f, 0.2400495579796320f, 0.2400960929589016f, 0.2401426273864432f,
  0.2401891612621499f, 0.2402356945859148f, 0.2402822273576310f, 0.2403287595771915f,
  0.2403752912444894f, 0.2404218223594178f, 0.2404683529218698f, 0.2405148829317384f,
  0.2405614123889167f, 0.2406079412932977f, 0.2406544696447747f, 0.2407009974432405f,
  0.2407475246885884f, 0.2407940513807114f, 0.2408405775195026f, 0.2408871031048551f,
  0.2409336281366619f, 0.2409801526148162f, 0.2410266765392110f, 0.2410731999097395f,
  0.2411197227262946f, 0.2411662449887696f, 0.2412127666970575f, 0.2412592878510514f,
  0.2413058084506444f, 0.2413523284957296f, 0.2413988479862000f, 0.2414453669219489f,
  0.2414918853028693f, 0.2415384031288544f, 0.2415849203997971f, 0.2416314371155906f,
  0.2416779532761280f, 0.2417244688813025f, 0.2417709839310071f, 0.2418174984251350f,
  0.2418640123635792f, 0.2419105257462329f, 0.2419570385729892f, 0.2420035508437412f,
  0.2420500625583821f, 0.2420965737168048f, 0.2421430843189027f, 0.2421895943645687f,
  0.2422361038536960f, 0.2422826127861778f, 0.2423291211619071f, 0.2423756289807771f,
  0.2424221362426809f, 0.2424686429475116f, 0.2425151490951625f, 0.2425616546855265f,
  0.2426081597184968f, 0.2426546641939666f, 0.2427011681118290f, 0.2427476714719772f,
  0.2427941742743042f, 0.2428406765187033f, 0.2428871782050675f, 0.2429336793332899f,
  0.2429801799032639f, 0.2430266799148824f, 0.2430731793680387f, 0.2431196782626258f,
  0.2431661765985369f, 0.2432126743756652f, 0.2432591715939039f, 0.2433056682531460f,
  0.2433521643532847f, 0.2433986598942133f, 0.2434451548758247f, 0.2434916492980123f,
  0.2435381431606691f, 0.2435846364636884f, 0.2436311292069632f, 0.2436776213903867f,
  0.2437241130138522f, 0.2437706040772527f, 0.2438170945804814f, 0.2438635845234316f,
  0.2439100739059963f, 0.2439565627280687f, 0.2440030509895421f, 0.2440495386903095f,
  0.2440960258302642f, 0.2441425124092993f, 0.2441889984273080f, 0.2442354838841835f,
  0.2442819687798190f, 0.2443284531141076f, 0.2443749368869426f, 0.2444214200982170f,
  0.2444679027478242f, 0.2445143848356572f, 0.2445608663616093f, 0.2446073473255736f,
  0.2446538277274433f, 0.2447003075671117f, 0.2447467868444720f, 0.2447932655594172f,
  0.2448397437118407f, 0.2448862213016355f, 0.2449326983286950f, 0.2449791747929122f,
  0.2450256506941805f, 0.2450721260323930f, 0.2451186008074428f, 0.2451650750192233f,
  0.2452115486676275f, 0.2452580217525488f, 0.2453044942738804f, 0.2453509662315153f,
  0.2453974376253470f, 0.2454439084552684f, 0.2454903787211729f, 0.2455368484229537f,
  0.2455833175605041f, 0.2456297861337171f, 0.2456762541424860f, 0.2457227215867041f,
  0.2457691884662646f, 0.2458156547810606f, 0.2458621205309855f, 0.2459085857159324f,
  0.2459550503357946f, 0.2460015143904653f, 0.2460479778798376f, 0.2460944408038050f,
  0.2461409031622605f, 0.2461873649550975f, 0.2462338261822090f, 0.2462802868434885f,
  0.2463267469388290f, 0.2463732064681239f, 0.2464196654312665f, 0.2464661238281498f,
  0.2465125816586672f, 0.2465590389227119f, 0.2466054956201772f, 0.2466519517509563f,
  0.2466984073149424f, 0.2467448623120289f, 0.2467913167421088f, 0.2468377706050756f,
  0.2468842239008224f, 0.2469306766292426f, 0.2469771287902292f, 0.2470235803836757f,
  0.2470700314094753f, 0.2471164818675211f, 0.2471629317577066f, 0.2472093810799249f,
  0.2472558298340693f, 0.2473022780200331f, 0.2473487256377095f, 0.2473951726869918f,
  0.2474416191677733f, 0.2474880650799472f, 0.2475345104234068f, 0.2475809551980455f,
  0.2476273994037563f, 0.2476738430404326f, 0.2477202861079678f, 0.2477667286062550f,
  0.2478131705351877f, 0.2478596118946589f, 0.2479060526845620f, 0.2479524929047903f,
  0.2479989325552371f, 0.2480453716357957f, 0.2480918101463593f, 0.2481382480868213f,
  0.2481846854570748f, 0.2482311222570132f, 0.2482775584865299f, 0.2483239941455181f,
  0.2483704292338710f, 0.2484168637514821f, 0.2484632976982444f, 0.2485097310740515f,
  0.2485561638787966f, 0.2486025961123729f, 0.2486490277746738f, 0.2486954588655925f,
  0.2487418893850225f, 0.2487883193328569f, 0.2488347487089891f, 0.2488811775133124f,
  0.2489276057457201f, 0.2489740334061056f, 0.2490204604943621f, 0.2490668870103829f,
  0.2491133129540614f, 0.2491597383252908f, 0.2492061631239646f, 0.2492525873499759f,
  0.2492990110032182f, 0.2493454340835847f, 0.2493918565909688f, 0.2494382785252638f,
  0.2494846998863630f, 0.2495311206741598f, 0.2495775408885474f, 0.2496239605294192f,
  0.2496703795966685f, 0.2497167980901888f, 0.2497632160098732f, 0.2498096333556152f,
  0.2498560501273080f, 0.2499024663248450f, 0.2499488819481195f, 0.2499952969970250f,
  0.2500417114714547f, 0.2500881253713019f, 0.2501345386964600f, 0.2501809514468225f,
  0.2502273636222824f, 0.2502737752227333f, 0.2503201862480686f, 0.2503665966981814f,
  0.2504130065729653f, 0.2504594158723135f, 0.2505058245961194f, 0.2505522327442763f,
  0.2505986403166777f, 0.2506450473132169f, 0.2506914537337871f, 0.2507378595782819f,
  0.2507842648465945f, 0.2508306695386183f, 0.2508770736542467f, 0.2509234771933731f,
  0.2509698801558907f, 0.2510162825416931f, 0.2510626843506735f, 0.2511090855827253f,
  0.2511554862377419f, 0.2512018863156167f, 0.2512482858162430f, 0.2512946847395143f,
  0.2513410830853239f, 0.2513874808535650f, 0.2514338780441314f, 0.2514802746569161f,
  0.2515266706918126f, 0.2515730661487144f, 0.2516194610275147f, 0.2516658553281070f,
  0.2517122490503847f, 0.2517586421942412f, 0.2518050347595698f, 0.2518514267462639f,
  0.2518978181542170f, 0.2519442089833223f, 0.2519905992334734f, 0.2520369889045637f,
  0.2520833779964864f, 0.2521297665091352f, 0.2521761544424032f, 0.2522225417961840f,
  0.2522689285703708f, 0.2523153147648572f, 0.2523617003795366f, 0.2524080854143023f,
  0.2524544698690478f, 0.2525008537436664f, 0.2525472370380517f, 0.2525936197520969f,
  0.2526400018856955f, 0.2526863834387411f, 0.2527327644111267f, 0.2527791448027461f,
  0.2528255246134926f, 0.2528719038432596f, 0.2529182824919406f, 0.2529646605594288f,
  0.2530110380456179f, 0.2530574149504012f, 0.2531037912736721f, 0.2531501670153241f,
  0.2531965421752506f, 0.2532429167533450f, 0.2532892907495007f, 0.2533356641636113f,
  0.2533820369955702f, 0.2534284092452707f, 0.2534747809126063f, 0.2535211519974704f,
  0.2535675224997566f, 0.2536138924193582f, 0.2536602617561686f, 0.2537066305100815f,
  0.2537529986809900f, 0.2537993662687878f, 0.2538457332733683f, 0.2538920996946248f,
  0.2539384655324511f, 0.2539848307867403f, 0.2540311954573859f, 0.2540775595442816f,
  0.2541239230473206f, 0.2541702859663966f, 0.2542166483014028f, 0.2542630100522328f,
  0.2543093712187800f, 0.2543557318009380f, 0.2544020917986001f, 0.2544484512116599f,
  0.2544948100400108f, 0.2545411682835462f, 0.2545875259421597f, 0.2546338830157448f,
  0.2546802395041948f, 0.2547265954074034f, 0.2547729507252638f, 0.2548193054576697f,
  0.2548656596045146f, 0.2549120131656917f, 0.2549583661410948f, 0.2550047185306172f,
  0.2550510703341525f, 0.2550974215515941f, 0.2551437721828355f, 0.2551901222277702f,
  0.2552364716862917f, 0.2552828205582935f, 0.2553291688436691f, 0.2553755165423118f,
  0.2554218636541155f, 0.2554682101789733f, 0.2555145561167789f, 0.2555609014674258f,
  0.2556072462308074f, 0.2556535904068173f, 0.2556999339953490f, 0.2557462769962959f,
  0.2557926194095516f, 0.2558389612350096f, 0.2558853024725634f, 0.2559316431221065f,
  0.2559779831835324f, 0.2560243226567346f, 0.2560706615416067f, 0.2561169998380421f,
  0.2561633375459345f, 0.2562096746651772f, 0.2562560111956638f, 0.2563023471372879f,
  0.2563486824899429f, 0.2563950172535224f, 0.2564413514279199f, 0.2564876850130289f,
  0.2565340180087431f, 0.2565803504149557f, 0.2566266822315605f, 0.2566730134584511f,
  0.2567193440955207f, 0.2567656741426631f, 0.2568120035997717f, 0.2568583324667401f,
  0.2569046607434619f, 0.2569509884298306f, 0.2569973155257396f, 0.2570436420310826f,
  0.2570899679457531f, 0.2571362932696447f, 0.2571826180026509f, 0.2572289421446652f,
  0.2572752656955811f, 0.2573215886552924f, 0.2573679110236924f, 0.2574142328006748f,
  0.2574605539861331f, 0.2575068745799608f, 0.2575531945820516f, 0.2575995139922990f,
  0.2576458328105964f, 0.2576921510368376f, 0.2577384686709160f, 0.2577847857127253f,
  0.2578311021621590f, 0.2578774180191106f, 0.2579237332834738f, 0.2579700479551421f,
  0.2580163620340090f, 0.2580626755199681f, 0.2581089884129131f, 0.2581553007127376f,
  0.2582016124193349f, 0.2582479235325988f, 0.2582942340524228f, 0.2583405439787006f,
  0.2583868533113256f, 0.2584331620501915f, 0.2584794701951919f, 0.2585257777462203f,
  0.2585720847031704f, 0.2586183910659356f, 0.2586646968344097f, 0.2587110020084862f,
  0.2587573065880587f, 0.2588036105730208f, 0.2588499139632660f, 0.2588962167586881f,
  0.2589425189591805f, 0.2589888205646370f, 0.2590351215749510f, 0.2590814219900162f,
  0.2591277218097262f, 0.2591740210339746f, 0.2592203196626550f, 0.2592666176956610f,
  0.2593129151328862f, 0.2593592119742243f, 0.2594055082195688f, 0.2594518038688134f,
  0.2594980989218517f, 0.2595443933785772f, 0.2595906872388837f, 0.2596369805026646f,
  0.2596832731698138f, 0.2597295652402247f, 0.2597758567137910f, 0.2598221475904063f,
  0.2598684378699643f, 0.2599147275523585f, 0.2599610166374827f, 0.2600073051252303f,
  0.2600535930154952f, 0.2600998803081708f, 0.2601461670031509f, 0.2601924531003290f,
  0.2602387385995988f, 0.2602850235008540f, 0.2603313078039882f, 0.2603775915088950f,
  0.2604238746154680f, 0.2604701571236009f, 0.2605164390331875f, 0.2605627203441212f,
  0.2606090010562958f, 0.2606552811696048f, 0.2607015606839420f, 0.2607478395992011f,
  0.2607941179152755f, 0.2608403956320591f, 0.2608866727494454f, 0.2609329492673282f,
  0.2609792251856011f, 0.2610255005041576f, 0.2610717752228917f, 0.2611180493416967f,
  0.2611643228604665f, 0.2612105957790947f, 0.2612568680974749f, 0.2613031398155010f,
  0.2613494109330664f, 0.2613956814500649f, 0.2614419513663901f, 0.2614882206819357f,
  0.2615344893965955f, 0.2615807575102630f, 0.2616270250228320f, 0.2616732919341961f,
  0.2617195582442490f, 0.2617658239528845f, 0.2618120890599961f, 0.2618583535654776f,
  0.2619046174692226f, 0.2619508807711248f, 0.2619971434710781f, 0.2620434055689759f,
  0.2620896670647120f, 0.2621359279581802f, 0.2621821882492741f, 0.2622284479378873f,
  0.2622747070239136f, 0.2623209655072468f, 0.2623672233877804f, 0.2624134806654083f,
  0.2624597373400240f, 0.2625059934115213f, 0.2625522488797940f, 0.2625985037447356f,
  0.2626447580062401f, 0.2626910116642009f, 0.2627372647185118f, 0.2627835171690667f,
  0.2628297690157592f, 0.2628760202584829f, 0.2629222708971316f, 0.2629685209315991f,
  0.2630147703617790f, 0.2630610191875651f, 0.2631072674088510f, 0.2631535150255306f,
  0.2631997620374976f, 0.2632460084446456f, 0.2632922542468684f, 0.2633384994440597f,
  0.2633847440361133f, 0.2634309880229229f, 0.2634772314043821f, 0.2635234741803849f,
  0.2635697163508249f, 0.2636159579155957f, 0.2636621988745913f, 0.2637084392277053f,
  0.2637546789748313f, 0.2638009181158634f, 0.2638471566506951f, 0.2638933945792202f,
  0.2639396319013323f, 0.2639858686169254f, 0.2640321047258932f, 0.2640783402281293f,
  0.2641245751235275f, 0.2641708094119817f, 0.2642170430933855f, 0.2642632761676327f,
  0.2643095086346171f, 0.2643557404942324f, 0.2644019717463724f, 0.2644482023909310f,
  0.2644944324278016f, 0.2645406618568783f, 0.2645868906780547f, 0.2646331188912247f,
  0.2646793464962819f, 0.2647255734931202f, 0.2647717998816334f, 0.2648180256617151f,
  0.2648642508332593f, 0.2649104753961596f, 0.2649566993503098f, 0.2650029226956038f,
  0.2650491454319353f, 0.2650953675591980f, 0.2651415890772859f, 0.2651878099860925f,
  0.2652340302855118f, 0.2652802499754375f, 0.2653264690557635f, 0.2653726875263835f,
  0.2654189053871913f, 0.2654651226380807f, 0.2655113392789454f, 0.2655575553096793f,
  0.2656037707301763f, 0.2656499855403300f, 0.2656961997400344f, 0.2657424133291831f,
  0.2657886263076699f, 0.2658348386753889f, 0.2658810504322335f, 0.2659272615780979f,
  0.2659734721128756f, 0.2660196820364605f, 0.2660658913487466f, 0.2661121000496274f,
  0.2661583081389970f, 0.2662045156167490f, 0.2662507224827774f, 0.2662969287369758f,
  0.2663431343792382f, 0.2663893394094584f, 0.2664355438275301f, 0.2664817476333473f,
  0.2665279508268037f, 0.2665741534077932f, 0.2666203553762096f, 0.2666665567319467f,
  0.2667127574748984f, 0.2667589576049584f, 0.2668051571220207f, 0.2668513560259791f,
  0.2668975543167273f, 0.2669437519941594f, 0.2669899490581690f, 0.2670361455086500f,
  0.2670823413454962f, 0.2671285365686016f, 0.2671747311778600f, 0.2672209251731651f,
  0.2672671185544109f, 0.2673133113214912f, 0.2673595034742999f, 0.2674056950127308f,
  0.2674518859366776f, 0.2674980762460345f, 0.2675442659406951f, 0.2675904550205533f,
  0.2676366434855031f, 0.2676828313354381f, 0.2677290185702525f, 0.2677752051898398f,
  0.2678213911940941f, 0.2678675765829093f, 0.2679137613561791f, 0.2679599455137975f,
  0.2680061290556583f, 0.2680523119816554f, 0.2680984942916826f, 0.2681446759856340f,
  0.2681908570634032f, 0.2682370375248842f, 0.2682832173699710f, 0.2683293965985572f,
  0.2683755752105369f, 0.2684217532058040f, 0.2684679305842522f, 0.2685141073457756f,
  0.2685602834902679f, 0.2686064590176231f, 0.2686526339277351f, 0.2686988082204977f,
  0.2687449818958050f, 0.2687911549535506f, 0.2688373273936286f, 0.2688834992159329f,
  0.2689296704203573f, 0.2689758410067957f, 0.2690220109751421f, 0.2690681803252903f,
  0.2691143490571344f, 0.2691605171705680f, 0.2692066846654853f, 0.2692528515417800f,
  0.2692990177993462f, 0.2693451834380776f, 0.2693913484578682f, 0.2694375128586120f,
  0.2694836766402028f, 0.2695298398025347f, 0.2695760023455013f, 0.2696221642689968f,
  0.2696683255729151f, 0.2697144862571500f, 0.2697606463215955f, 0.2698068057661455f,
  0.2698529645906939f, 0.2698991227951347f, 0.2699452803793618f, 0.2699914373432691f,
  0.2700375936867506f, 0.2700837494097001f, 0.2701299045120118f, 0.2701760589935793f,
  0.2702222128542969f, 0.2702683660940582f, 0.2703145187127574f, 0.2703606707102882f,
  0.2704068220865448f, 0.2704529728414211f, 0.2704991229748108f, 0.2705452724866081f,
  0.2705914213767069f, 0.2706375696450011f, 0.2706837172913848f, 0.2707298643157517f,
  0.2707760107179960f, 0.2708221564980115f, 0.2708683016556922f, 0.2709144461909321f,
  0.2709605901036252f, 0.2710067333936653f, 0.2710528760609465f, 0.2710990181053627f,
  0.2711451595268080f, 0.2711913003251762f, 0.2712374405003614f, 0.2712835800522574f,
  0.2713297189807585f, 0.2713758572857582f, 0.2714219949671509f, 0.2714681320248304f,
  0.2715142684586907f, 0.2715604042686258f, 0.2716065394545296f, 0.2716526740162962f,
  0.2716988079538195f, 0.2717449412669935f, 0.2717910739557122f, 0.2718372060198697f,
  0.2718833374593597f, 0.2719294682740765f, 0.2719755984639140f, 0.2720217280287661f,
  0.2720678569685269f, 0.2721139852830903f, 0.2721601129723505f, 0.2722062400362013f,
  0.2722523664745367f, 0.2722984922872508f, 0.2723446174742376f, 0.2723907420353911f,
  0.2724368659706052f, 0.2724829892797741f, 0.2725291119627917f, 0.2725752340195520f,
  0.2726213554499490f, 0.2726674762538767f, 0.2727135964312293f, 0.2727597159819006f,
  0.2728058349057848f, 0.2728519532027758f, 0.2728980708727676f, 0.2729441879156543f,
  0.2729903043313299f, 0.2730364201196885f, 0.2730825352806239f, 0.2731286498140304f,
  0.2731747637198019f, 0.2732208769978324f, 0.2732669896480161f, 0.2733131016702468f,
  0.2733592130644187f, 0.2734053238304258f, 0.2734514339681621f, 0.2734975434775218f,
  0.2735436523583987f, 0.2735897606106870f, 0.2736358682342807f, 0.2736819752290738f,
  0.2737280815949605f, 0.2737741873318347f, 0.2738202924395906f, 0.2738663969181221f,
  0.2739125007673233f, 0.2739586039870883f, 0.2740047065773111f, 0.2740508085378858f,
  0.2740969098687064f, 0.2741430105696670f, 0.2741891106406618f, 0.2742352100815846f,
  0.2742813088923297f, 0.2743274070727910f, 0.2743735046228626f, 0.2744196015424387f,
  0.2744656978314132f, 0.2745117934896803f, 0.2745578885171340f, 0.2746039829136685f,
  0.2746500766791777f, 0.2746961698135557f, 0.2747422623166967f, 0.2747883541884948f,
  0.2748344454288439f, 0.2748805360376382f, 0.2749266260147718f, 0.2749727153601388f,
  0.2750188040736332f, 0.2750648921551492f, 0.2751109796045808f, 0.2751570664218221f,
  0.2752031526067673f, 0.2752492381593103f, 0.2752953230793455f, 0.2753414073667667f,
  0.2753874910214681f, 0.2754335740433439f, 0.2754796564322881f, 0.2755257381881948f,
  0.2755718193109581f, 0.2756178998004723f, 0.2756639796566312f, 0.2757100588793291f,
  0.2757561374684601f, 0.2758022154239183f, 0.2758482927455978f, 0.2758943694333927f,
  0.2759404454871972f, 0.2759865209069053f, 0.2760325956924112f, 0.2760786698436090f,
  0.2761247433603928f, 0.2761708162426568f, 0.2762168884902951f, 0.2762629601032018f,
  0.2763090310812711f, 0.2763551014243970f, 0.2764011711324737f, 0.2764472402053953f,
  0.2764933086430560f, 0.2765393764453500f, 0.2765854436121712f, 0.2766315101434140f,
  0.2766775760389724f, 0.2767236412987406f, 0.2767697059226127f, 0.2768157699104828f,
  0.2768618332622453f, 0.2769078959777940f, 0.2769539580570232f, 0.2770000194998272f,
  0.2770460803060999f, 0.2770921404757357f, 0.2771382000086284f, 0.2771842589046726f,
  0.2772303171637622f, 0.2772763747857913f, 0.2773224317706543f, 0.2773684881182452f,
  0.2774145438284581f, 0.2774605989011873f, 0.2775066533363270f, 0.2775527071337713f,
  0.2775987602934143f, 0.2776448128151503f, 0.2776908646988734f, 0.2777369159444777f,
  0.2777829665518577f, 0.2778290165209071f, 0.2778750658515205f, 0.2779211145435919f,
  0.2779671625970154f, 0.2780132100116853f, 0.2780592567874957f, 0.2781053029243410f,
  0.2781513484221151f, 0.2781973932807124f, 0.2782434375000270f, 0.2782894810799530f,
  0.2783355240203849f, 0.2783815663212166f, 0.2784276079823425f, 0.2784736490036565f,
  0.2785196893850531f, 0.2785657291264264f, 0.2786117682276706f, 0.2786578066886799f,
  0.2787038445093485f, 0.2787498816895706f, 0.2787959182292405f, 0.2788419541282523f,
  0.2788879893865003f, 0.2789340240038786f, 0.2789800579802814f, 0.2790260913156031f,
  0.2790721240097378f, 0.2791181560625798f, 0.2791641874740232f, 0.2792102182439622f,
  0.2792562483722912f, 0.2793022778589043f, 0.2793483067036957f, 0.2793943349065597f,
  0.2794403624673906f, 0.2794863893860824f, 0.2795324156625296f, 0.2795784412966262f,
  0.2796244662882666f, 0.2796704906373450f, 0.2797165143437556f, 0.2797625374073926f,
  0.2798085598281504f, 0.2798545816059230f, 0.2799006027406050f, 0.2799466232320902f,
  0.2799926430802732f, 0.2800386622850481f, 0.2800846808463092f, 0.2801306987639508f,
  0.2801767160378670f, 0.2802227326679522f, 0.2802687486541005f, 0.2803147639962063f,
  0.2803607786941638f, 0.2804067927478673f, 0.2804528061572111f, 0.2804988189220893f,
  0.2805448310423962f, 0.2805908425180263f, 0.2806368533488736f, 0.2806828635348325f,
  0.2807288730757972f, 0.2807748819716620f, 0.2808208902223213f, 0.2808668978276692f,
  0.2809129047876000f, 0.2809589111020080f, 0.2810049167707875f, 0.2810509217938329f,
  0.2810969261710383f, 0.2811429299022980f, 0.2811889329875064f, 0.2812349354265576f,
  0.2812809372193461f, 0.2813269383657661f, 0.2813729388657119f, 0.2814189387190777f,
  0.2814649379257580f, 0.2815109364856469f, 0.2815569343986388f, 0.2816029316646280f,
  0.2816489282835086f, 0.2816949242551753f, 0.2817409195795220f, 0.2817869142564433f,
  0.2818329082858334f, 0.2818789016675865f, 0.2819248944015971f, 0.2819708864877594f,
  0.2820168779259676f, 0.2820628687161164f, 0.2821088588580997f, 0.2821548483518120f,
  0.2822008371971476f, 0.2822468253940008f, 0.2822928129422659f, 0.2823387998418373f,
  0.2823847860926094f, 0.2824307716944763f, 0.2824767566473325f, 0.2825227409510722f,
  0.2825687246055897f, 0.2826147076107797f, 0.2826606899665360f, 0.2827066716727534f,
  0.2827526527293259f, 0.2827986331361481f, 0.2828446128931141f, 0.2828905920001185f,
  0.2829365704570554f, 0.2829825482638192f, 0.2830285254203043f, 0.2830745019264051f,
  0.2831204777820158f, 0.2831664529870310f, 0.2832124275413447f, 0.2832584014448515f,
  0.2833043746974457f, 0.2833503472990216f, 0.2833963192494737f, 0.2834422905486962f,
  0.2834882611965836f, 0.2835342311930301f, 0.2835802005379301f, 0.2836261692311782f,
  0.2836721372726684f, 0.2837181046622954f, 0.2837640713999533f, 0.2838100374855366f,
  0.2838560029189398f, 0.2839019677000569f, 0.2839479318287827f, 0.2839938953050113f,
  0.2840398581286372f, 0.2840858202995548f, 0.2841317818176583f, 0.2841777426828423f,
  0.2842237028950010f, 0.2842696624540290f, 0.2843156213598205f, 0.2843615796122700f,
  0.2844075372112719f, 0.2844534941567204f, 0.2844994504485101f, 0.2845454060865353f,
  0.2845913610706904f, 0.2846373154008700f, 0.2846832690769681f, 0.2847292220988795f,
  0.2847751744664983f, 0.2848211261797191f, 0.2848670772384362f, 0.2849130276425440f,
  0.2849589773919370f, 0.2850049264865095f, 0.2850508749261561f, 0.2850968227107710f,
  0.2851427698402487f, 0.2851887163144836f, 0.2852346621333702f, 0.2852806072968028f,
  0.2853265518046759f, 0.2853724956568838f, 0.2854184388533211f, 0.2854643813938821f,
  0.2855103232784613f, 0.2855562645069531f, 0.2856022050792519f, 0.2856481449952522f,
  0.2856940842548483f, 0.2857400228579349f, 0.2857859608044061f, 0.2858318980941565f,
  0.2858778347270806f, 0.2859237707030727f, 0.2859697060220274f, 0.2860156406838390f,
  0.2860615746884020f, 0.2861075080356109f, 0.2861534407253601f, 0.2861993727575440f,
  0.2862453041320571f, 0.2862912348487939f, 0.2863371649076488f, 0.2863830943085162f,
  0.2864290230512907f, 0.2864749511358666f, 0.2865208785621385f, 0.2865668053300007f,
  0.2866127314393478f, 0.2866586568900742f, 0.2867045816820744f, 0.2867505058152429f,
  0.2867964292894741f, 0.2868423521046625f, 0.2868882742607026f, 0.2869341957574887f,
  0.2869801165949156f, 0.2870260367728774f, 0.2870719562912689f, 0.2871178751499844f,
  0.2871637933489184f, 0.2872097108879655f, 0.2872556277670200f, 0.2873015439859766f,
  0.2873474595447295f, 0.2873933744431734f, 0.2874392886812029f, 0.2874852022587122f,
  0.2875311151755960f, 0.2875770274317486f, 0.2876229390270647f, 0.2876688499614388f,
  0.2877147602347652f, 0.2877606698469385f, 0.2878065787978533f, 0.2878524870874040f,
  0.2878983947154852f, 0.2879443016819912f, 0.2879902079868167f, 0.2880361136298562f,
  0.2880820186110041f, 0.2881279229301550f, 0.2881738265872034f, 0.2882197295820439f,
  0.2882656319145708f, 0.2883115335846788f, 0.2883574345922623f, 0.2884033349372159f,
  0.2884492346194342f, 0.2884951336388116f, 0.2885410319952427f, 0.2885869296886219f,
  0.2886328267188438f, 0.2886787230858031f, 0.2887246187893940f, 0.2887705138295114f,
  0.2888164082060495f, 0.2888623019189030f, 0.2889081949679665f, 0.2889540873531344f,
  0.2889999790743014f, 0.2890458701313619f, 0.2890917605242105f, 0.2891376502527418f,
  0.2891835393168502f, 0.2892294277164305f, 0.2892753154513769f, 0.2893212025215843f,
  0.2893670889269470f, 0.2894129746673597f, 0.2894588597427169f, 0.2895047441529132f,
  0.2895506278978431f, 0.2895965109774011f, 0.2896423933914820f, 0.2896882751399802f,
  0.2897341562227903f, 0.2897800366398068f, 0.2898259163909243f, 0.2898717954760374f,
  0.2899176738950408f, 0.2899635516478288f, 0.2900094287342961f, 0.2900553051543374f,
  0.2901011809078471f, 0.2901470559947199f, 0.2901929304148503f, 0.2902388041681330f,
  0.2902846772544623f, 0.2903305496737332f, 0.2903764214258400f, 0.2904222925106773f,
  0.2904681629281398f, 0.2905140326781221f, 0.2905599017605187f, 0.2906057701752242f,
  0.2906516379221332f, 0.2906975050011404f, 0.2907433714121404f, 0.2907892371550276f,
  0.2908351022296968f, 0.2908809666360425f, 0.2909268303739594f, 0.2909726934433420f,
  0.2910185558440851f, 0.2910644175760830f, 0.2911102786392306f, 0.2911561390334224f,
  0.2912019987585529f, 0.2912478578145169f, 0.2912937162012089f, 0.2913395739185237f,
  0.2913854309663557f, 0.2914312873445996f, 0.2914771430531500f, 0.2915229980919017f,
  0.2915688524607491f, 0.2916147061595869f, 0.2916605591883098f, 0.2917064115468124f,
  0.2917522632349893f, 0.2917981142527352f, 0.2918439645999445f, 0.2918898142765122f,
  0.2919356632823328f, 0.2919815116173008f, 0.2920273592813110f, 0.2920732062742580f,
  0.2921190525960364f, 0.2921648982465410f, 0.2922107432256662f, 0.2922565875333069f,
  0.2923024311693576f, 0.2923482741337129f, 0.2923941164262677f, 0.2924399580469164f,
  0.2924857989955539f, 0.2925316392720746f, 0.2925774788763734f, 0.2926233178083448f,
  0.2926691560678835f, 0.2927149936548842f, 0.2927608305692415f, 0.2928066668108502f,
  0.2928525023796048f, 0.2928983372754001f, 0.2929441714981308f, 0.2929900050476914f,
  0.2930358379239768f, 0.2930816701268815f, 0.2931275016563002f, 0.2931733325121277f,
  0.2932191626942586f, 0.2932649922025877f, 0.2933108210370095f, 0.2933566491974187f,
  0.2934024766837101f, 0.2934483034957783f, 0.2934941296335182f, 0.2935399550968242f,
  0.2935857798855913f, 0.2936316039997138f, 0.2936774274390868f, 0.2937232502036047f,
  0.2937690722931624f, 0.2938148937076546f, 0.2938607144469759f, 0.2939065345110209f,
  0.2939523538996847f, 0.2939981726128615f, 0.2940439906504465f, 0.2940898080123341f,
  0.2941356246984190f, 0.2941814407085962f, 0.2942272560427601f, 0.2942730707008057f,
  0.2943188846826274f, 0.2943646979881202f, 0.2944105106171787f, 0.2944563225696976f,
  0.2945021338455717f, 0.2945479444446957f, 0.2945937543669643f, 0.2946395636122723f,
  0.2946853721805143f, 0.2947311800715853f, 0.2947769872853797f, 0.2948227938217925f,
  0.2948685996807183f, 0.2949144048620518f, 0.2949602093656880f, 0.2950060131915213f,
  0.2950518163394467f, 0.2950976188093588f, 0.2951434206011525f, 0.2951892217147223f,
  0.2952350221499632f, 0.2952808219067699f, 0.2953266209850371f, 0.2953724193846595f,
  0.2954182171055320f, 0.2954640141475492f, 0.2955098105106061f, 0.2955556061945972f,
  0.2956014011994174f, 0.2956471955249614f, 0.2956929891711241f, 0.2957387821378001f,
  0.2957845744248843f, 0.2958303660322714f, 0.2958761569598561f, 0.2959219472075333f,
  0.2959677367751979f, 0.2960135256627444f, 0.2960593138700677f, 0.2961051013970626f,
  0.2961508882436238f, 0.2961966744096463f, 0.2962424598950246f, 0.2962882446996536f,
  0.2963340288234282f, 0.2963798122662431f, 0.2964255950279930f, 0.2964713771085729f,
  0.2965171585078775f, 0.2965629392258015f, 0.2966087192622398f, 0.2966544986170871f,
  0.2967002772902383f, 0.2967460552815883f, 0.2967918325910317f, 0.2968376092184635f,
  0.2968833851637783f, 0.2969291604268710f, 0.2969749350076364f, 0.2970207089059694f,
  0.2970664821217647f, 0.2971122546549172f, 0.2971580265053216f, 0.2972037976728730f,
  0.2972495681574658f, 0.2972953379589952f, 0.2973411070773558f, 0.2973868755124425f,
  0.2974326432641500f, 0.2974784103323734f, 0.2975241767170073f, 0.2975699424179467f,
  0.2976157074350863f, 0.2976614717683209f, 0.2977072354175454f, 0.2977529983826547f,
  0.2977987606635435f, 0.2978445222601069f, 0.2978902831722394f, 0.2979360433998361f,
  0.2979818029427918f, 0.2980275618010012f, 0.2980733199743594f, 0.2981190774627610f,
  0.2981648342661009f, 0.2982105903842741f, 0.2982563458171753f, 0.2983021005646995f,
  0.2983478546267414f, 0.2983936080031960f, 0.2984393606939580f, 0.2984851126989225f,
  0.2985308640179841f, 0.2985766146510379f, 0.2986223645979786f, 0.2986681138587011f,
  0.2987138624331003f, 0.2987596103210712f, 0.2988053575225084f, 0.2988511040373070f,
  0.2988968498653618f, 0.2989425950065676f, 0.2989883394608195f, 0.2990340832280121f,
  0.2990798263080405f, 0.2991255687007994f, 0.2991713104061839f, 0.2992170514240888f,
  0.2992627917544088f, 0.2993085313970392f, 0.2993542703518745f, 0.2994000086188098f,
  0.2994457461977399f, 0.2994914830885598f, 0.2995372192911643f, 0.2995829548054483f,
  0.2996286896313068f, 0.2996744237686347f, 0.2997201572173268f, 0.2997658899772780f,
  0.2998116220483834f, 0.2998573534305377f, 0.2999030841236359f, 0.2999488141275728f,
  0.2999945434422436f, 0.3000402720675429f, 0.3000860000033658f, 0.3001317272496072f,
  0.3001774538061620f, 0.3002231796729251f, 0.3002689048497914f, 0.3003146293366559f,
  0.3003603531334135f, 0.3004060762399591f, 0.3004517986561877f, 0.3004975203819942f,
  0.3005432414172735f, 0.3005889617619205f, 0.3006346814158303f, 0.3006804003788976f,
  0.3007261186510175f, 0.3007718362320850f, 0.3008175531219949f, 0.3008632693206423f,
  0.3009089848279219f, 0.3009546996437288f, 0.3010004137679581f, 0.3010461272005045f,
  0.3010918399412631f, 0.3011375519901288f, 0.3011832633469965f, 0.3012289740117612f,
  0.3012746839843179f, 0.3013203932645617f, 0.3013661018523872f, 0.3014118097476897f,
  0.3014575169503639f, 0.3015032234603050f, 0.3015489292774079f, 0.3015946344015675f,
  0.3016403388326788f, 0.3016860425706368f, 0.3017317456153364f, 0.3017774479666727f,
  0.3018231496245407f, 0.3018688505888352f, 0.3019145508594512f, 0.3019602504362838f,
  0.3020059493192281f, 0.3020516475081788f, 0.3020973450030310f, 0.3021430418036798f,
  0.3021887379100200f, 0.3022344333219468f, 0.3022801280393550f, 0.3023258220621398f,
  0.3023715153901960f, 0.3024172080234186f, 0.3024628999617028f, 0.3025085912049434f,
  0.3025542817530356f, 0.3025999716058742f, 0.3026456607633544f, 0.3026913492253710f,
  0.3027370369918191f, 0.3027827240625939f, 0.3028284104375901f, 0.3028740961167030f,
  0.3029197810998273f, 0.3029654653868583f, 0.3030111489776909f, 0.3030568318722201f,
  0.3031025140703411f, 0.3031481955719486f, 0.3031938763769380f, 0.3032395564852040f,
  0.3032852358966417f, 0.3033309146111464f, 0.3033765926286128f, 0.3034222699489361f,
  0.3034679465720113f, 0.3035136224977334f, 0.3035592977259976f, 0.3036049722566987f,
  0.3036506460897320f, 0.3036963192249923f, 0.3037419916623747f, 0.3037876634017744f,
  0.3038333344430864f, 0.3038790047862056f, 0.3039246744310272f, 0.3039703433774461f,
  0.3040160116253576f, 0.3040616791746565f, 0.3041073460252381f, 0.3041530121769973f,
  0.3041986776298292f, 0.3042443423836287f, 0.3042900064382912f, 0.3043356697937116f,
  0.3043813324497849f, 0.3044269944064062f, 0.3044726556634706f, 0.3045183162208732f,
  0.3045639760785091f, 0.3046096352362733f, 0.3046552936940609f, 0.3047009514517670f,
  0.3047466085092865f, 0.3047922648665148f, 0.3048379205233469f, 0.3048835754796777f,
  0.3049292297354024f, 0.3049748832904161f, 0.3050205361446139f, 0.3050661882978908f,
  0.3051118397501421f, 0.3051574905012627f, 0.3052031405511478f, 0.3052487898996924f,
  0.3052944385467917f, 0.3053400864923407f, 0.3053857337362346f, 0.3054313802783685f,
  0.3054770261186374f, 0.3055226712569366f, 0.3055683156931610f, 0.3056139594272058f,
  0.3056596024589662f, 0.3057052447883372f, 0.3057508864152139f, 0.3057965273394915f,
  0.3058421675610651f, 0.3058878070798298f, 0.3059334458956807f, 0.3059790840085130f,
  0.3060247214182218f, 0.3060703581247021f, 0.3061159941278493f, 0.3061616294275583f,
  0.3062072640237243f, 0.3062528979162424f, 0.3062985311050078f, 0.3063441635899156f,
  0.3063897953708609f, 0.3064354264477390f, 0.3064810568204449f, 0.3065266864888737f,
  0.3065723154529207f, 0.3066179437124810f, 0.3066635712674496f, 0.3067091981177218f,
  0.3067548242631928f, 0.3068004497037576f, 0.3068460744393114f, 0.3068916984697495f,
  0.3069373217949669f, 0.3069829444148587f, 0.3070285663293204f, 0.3070741875382467f,
  0.3071198080415331f, 0.3071654278390746f, 0.3072110469307665f, 0.3072566653165038f,
  0.3073022829961818f, 0.3073478999696957f, 0.3073935162369406f, 0.3074391317978117f,
  0.3074847466522041f, 0.3075303608000131f, 0.3075759742411338f, 0.3076215869754614f,
  0.3076671990028912f, 0.3077128103233182f, 0.3077584209366377f, 0.3078040308427449f,
  0.3078496400415349f, 0.3078952485329030f, 0.3079408563167442f, 0.3079864633929539f,
  0.3080320697614273f, 0.3080776754220595f, 0.3081232803747458f, 0.3081688846193812f,
  0.3082144881558611f, 0.3082600909840806f, 0.3083056931039350f, 0.3083512945153195f,
  0.3083968952181292f, 0.3084424952122594f, 0.3084880944976053f, 0.3085336930740621f,
  0.3085792909415251f, 0.3086248880998893f, 0.3086704845490502f, 0.3087160802889028f,
  0.3087616753193425f, 0.3088072696402643f, 0.3088528632515637f, 0.3088984561531358f,
  0.3089440483448757f, 0.3089896398266788f, 0.3090352305984403f, 0.3090808206600554f,
  0.3091264100114194f, 0.3091719986524275f, 0.3092175865829749f, 0.3092631738029569f,
  0.3093087603122687f, 0.3093543461108056f, 0.3093999311984628f, 0.3094455155751356f,
  0.3094910992407191f, 0.3095366821951087f, 0.3095822644381996f, 0.3096278459698871f,
  0.3096734267900664f, 0.3097190068986329f, 0.3097645862954815f, 0.3098101649805079f,
  0.3098557429536071f, 0.3099013202146745f, 0.3099468967636052f, 0.3099924726002945f,
  0.3100380477246379f, 0.3100836221365303f, 0.3101291958358674f, 0.3101747688225441f,
  0.3102203410964559f, 0.3102659126574979f, 0.3103114835055656f, 0.3103570536405541f,
  0.3104026230623587f, 0.3104481917708748f, 0.3104937597659976f, 0.3105393270476224f,
  0.3105848936156445f, 0.3106304594699591f, 0.3106760246104617f, 0.3107215890370473f,
  0.3107671527496115f, 0.3108127157480494f, 0.3108582780322564f, 0.3109038396021277f,
  0.3109494004575586f, 0.3109949605984446f, 0.3110405200246808f, 0.3110860787361626f,
  0.3111316367327853f, 0.3111771940144441f, 0.3112227505810345f, 0.3112683064324516f,
  0.3113138615685909f, 0.3113594159893477f, 0.3114049696946172f, 0.3114505226842949f,
  0.3114960749582759f, 0.3115416265164556f, 0.3115871773587295f, 0.3116327274849927f,
  0.3116782768951406f, 0.3117238255890685f, 0.3117693735666718f, 0.3118149208278460f,
  0.3118604673724860f, 0.3119060132004875f, 0.3119515583117456f, 0.3119971027061559f,
  0.3120426463836135f, 0.3120881893440139f, 0.3121337315872524f, 0.3121792731132242f,
  0.3122248139218249f, 0.3122703540129497f, 0.3123158933864940f, 0.3123614320423532f,
  0.3124069699804224f, 0.3124525072005973f, 0.3124980437027731f, 0.3125435794868450f,
  0.3125891145527087f, 0.3126346489002593f, 0.3126801825293923f, 0.3127257154400030f,
  0.3127712476319868f, 0.3128167791052391f, 0.3128623098596551f, 0.3129078398951304f,
  0.3129533692115602f, 0.3129988978088400f, 0.3130444256868651f, 0.3130899528455309f,
  0.3131354792847328f, 0.3131810050043662f, 0.3132265300043265f, 0.3132720542845089f,
  0.3133175778448090f, 0.3133631006851221f, 0.3134086228053437f, 0.3134541442053690f,
  0.3134996648850935f, 0.3135451848444126f, 0.3135907040832217f, 0.3136362226014162f,
  0.3136817403988915f, 0.3137272574755429f, 0.3137727738312659f, 0.3138182894659561f,
  0.3138638043795085f, 0.3139093185718189f, 0.3139548320427824f, 0.3140003447922945f,
  0.3140458568202507f, 0.3140913681265464f, 0.3141368787110770f, 0.3141823885737379f,
  0.3142278977144245f, 0.3142734061330322f, 0.3143189138294565f, 0.3143644208035929f,
  0.3144099270553367f, 0.3144554325845833f, 0.3145009373912282f, 0.3145464414751668f,
  0.3145919448362947f, 0.3146374474745070f, 0.3146829493896994f, 0.3147284505817673f,
  0.3147739510506061f, 0.3148194507961112f, 0.3148649498181781f, 0.3149104481167023f,
  0.3149559456915791f, 0.3150014425427041f, 0.3150469386699727f, 0.3150924340732803f,
  0.3151379287525224f, 0.3151834227075945f, 0.3152289159383919f, 0.3152744084448103f,
  0.3153199002267449f, 0.3153653912840914f, 0.3154108816167450f, 0.3154563712246014f,
  0.3155018601075560f, 0.3155473482655042f, 0.3155928356983416f, 0.3156383224059636f,
  0.3156838083882657f, 0.3157292936451432f, 0.3157747781764917f, 0.3158202619822069f,
  0.3158657450621840f, 0.3159112274163186f, 0.3159567090445061f, 0.3160021899466420f,
  0.3160476701226219f, 0.3160931495723411f, 0.3161386282956953f, 0.3161841062925799f,
  0.3162295835628904f, 0.3162750601065222f, 0.3163205359233709f, 0.3163660110133321f,
  0.3164114853763010f, 0.3164569590121734f, 0.3165024319208447f, 0.3165479041022103f,
  0.3165933755561658f, 0.3166388462826068f, 0.3166843162814287f, 0.3167297855525270f,
  0.3167752540957973f, 0.3168207219111350f, 0.3168661889984357f, 0.3169116553575950f,
  0.3169571209885081f, 0.3170025858910709f, 0.3170480500651788f, 0.3170935135107272f,
  0.3171389762276118f, 0.3171844382157279f, 0.3172298994749713f, 0.3172753600052374f,
  0.3173208198064217f, 0.3173662788784199f, 0.3174117372211273f, 0.3174571948344396f,
  0.3175026517182523f, 0.3175481078724609f, 0.3175935632969610f, 0.3176390179916482f,
  0.3176844719564180f, 0.3177299251911658f, 0.3177753776957873f, 0.3178208294701781f,
  0.3178662805142337f, 0.3179117308278496f, 0.3179571804109214f, 0.3180026292633447f,
  0.3180480773850149f, 0.3180935247758278f, 0.3181389714356788f, 0.3181844173644635f,
  0.3182298625620776f, 0.3182753070284164f, 0.3183207507633757f, 0.3183661937668510f,
  0.3184116360387378f, 0.3184570775789318f, 0.3185025183873285f, 0.3185479584638235f,
  0.3185933978083124f, 0.3186388364206907f, 0.3186842743008542f, 0.3187297114486982f,
  0.3187751478641185f, 0.3188205835470106f, 0.3188660184972701f, 0.3189114527147926f,
  0.3189568861994737f, 0.3190023189512090f, 0.3190477509698940f, 0.3190931822554244f,
  0.3191386128076959f, 0.3191840426266039f, 0.3192294717120442f, 0.3192749000639122f,
  0.3193203276821036f, 0.3193657545665141f, 0.3194111807170391f, 0.3194566061335745f,
  0.3195020308160157f, 0.3195474547642583f, 0.3195928779781981f, 0.3196383004577306f,
  0.3196837222027514f, 0.3197291432131562f, 0.3197745634888405f, 0.3198199830297001f,
  0.3198654018356305f, 0.3199108199065274f, 0.3199562372422863f, 0.3200016538428031f,
  0.3200470697079731f, 0.3200924848376922f, 0.3201378992318560f, 0.3201833128903600f,
  0.3202287258130999f, 0.3202741379999714f, 0.3203195494508701f, 0.3203649601656917f,
  0.3204103701443318f, 0.3204557793866861f, 0.3205011878926501f, 0.3205465956621197f,
  0.3205920026949903f, 0.3206374089911578f, 0.3206828145505177f, 0.3207282193729656f,
  0.3207736234583973f, 0.3208190268067085f, 0.3208644294177947f, 0.3209098312915518f,
  0.3209552324278752f, 0.3210006328266608f, 0.3210460324878041f, 0.3210914314112008f,
  0.3211368295967467f, 0.3211822270443373f, 0.3212276237538685f, 0.3212730197252358f,
  0.3213184149583349f, 0.3213638094530615f, 0.3214092032093114f, 0.3214545962269802f,
  0.3214999885059635f, 0.3215453800461571f, 0.3215907708474567f, 0.3216361609097579f,
  0.3216815502329566f, 0.3217269388169482f, 0.3217723266616286f, 0.3218177137668936f,
  0.3218631001326386f, 0.3219084857587595f, 0.3219538706451520f, 0.3219992547917118f,
  0.3220446381983345f, 0.3220900208649159f, 0.3221354027913518f, 0.3221807839775378f,
  0.3222261644233697f, 0.3222715441287430f, 0.3223169230935537f, 0.3223623013176974f,
  0.3224076788010699f, 0.3224530555435667f, 0.3224984315450838f, 0.3225438068055167f,
  0.3225891813247613f, 0.3226345551027133f, 0.3226799281392684f, 0.3227253004343222f,
  0.3227706719877707f, 0.3228160427995095f, 0.3228614128694344f, 0.3229067821974411f,
  0.3229521507834253f, 0.3229975186272828f, 0.3230428857289092f, 0.3230882520882005f,
  0.3231336177050523f, 0.3231789825793605f, 0.3232243467110206f, 0.3232697100999285f,
  0.3233150727459800f, 0.3233604346490708f, 0.3234057958090967f, 0.3234511562259534f,
  0.3234965158995367f, 0.3235418748297423f, 0.3235872330164661f, 0.3236325904596039f,
  0.3236779471590512f, 0.3237233031147040f, 0.3237686583264580f, 0.3238140127942091f,
  0.3238593665178529f, 0.3239047194972853f, 0.3239500717324019f, 0.3239954232230988f,
  0.3240407739692714f, 0.3240861239708158f, 0.3241314732276277f, 0.3241768217396028f,
  0.3242221695066370f, 0.3242675165286261f, 0.3243128628054657f, 0.3243582083370519f,
  0.3244035531232802f, 0.3244488971640467f, 0.3244942404592469f, 0.3245395830087768f,
  0.3245849248125321f, 0.3246302658704088f, 0.3246756061823025f, 0.3247209457481090f,
  0.3247662845677242f, 0.3248116226410440f, 0.3248569599679640f, 0.3249022965483803f,
  0.3249476323821884f, 0.3249929674692844f, 0.3250383018095639f, 0.3250836354029228f,
  0.3251289682492571f, 0.3251743003484623f, 0.3252196317004346f, 0.3252649623050695f,
  0.3253102921622629f, 0.3253556212719108f, 0.3254009496339089f, 0.3254462772481532f,
  0.3254916041145393f, 0.3255369302329632f, 0.3255822556033207f, 0.3256275802255076f,
  0.3256729040994198f, 0.3257182272249532f, 0.3257635496020035f, 0.3258088712304667f,
  0.3258541921102386f, 0.3258995122412151f, 0.3259448316232919f, 0.3259901502563650f,
  0.3260354681403302f, 0.3260807852750834f, 0.3261261016605206f, 0.3261714172965373f,
  0.3262167321830298f, 0.3262620463198936f, 0.3263073597070247f, 0.3263526723443191f,
  0.3263979842316725f, 0.3264432953689809f, 0.3264886057561400f, 0.3265339153930459f,
  0.3265792242795944f, 0.3266245324156813f, 0.3266698398012026f, 0.3267151464360541f,
  0.3267604523201317f, 0.3268057574533315f, 0.3268510618355490f, 0.3268963654666804f,
  0.3269416683466214f, 0.3269869704752681f, 0.3270322718525162f, 0.3270775724782617f,
  0.3271228723524005f, 0.3271681714748285f, 0.3272134698454416f, 0.3272587674641357f,
  0.3273040643308067f, 0.3273493604453505f, 0.3273946558076630f, 0.3274399504176403f,
  0.3274852442751780f, 0.3275305373801722f, 0.3275758297325189f, 0.3276211213321139f,
  0.3276664121788531f, 0.3277117022726325f, 0.3277569916133479f, 0.3278022802008954f,
  0.3278475680351708f, 0.3278928551160702f, 0.3279381414434893f, 0.3279834270173242f,
  0.3280287118374707f, 0.3280739959038249f, 0.3281192792162826f, 0.3281645617747398f,
  0.3282098435790926f, 0.3282551246292366f, 0.3283004049250680f, 0.3283456844664827f,
  0.3283909632533766f, 0.3284362412856457f, 0.3284815185631860f, 0.3285267950858933f,
  0.3285720708536637f, 0.3286173458663931f, 0.3286626201239775f, 0.3287078936263128f,
  0.3287531663732950f, 0.3287984383648201f, 0.3288437096007840f, 0.3288889800810827f,
  0.3289342498056122f, 0.3289795187742685f, 0.3290247869869473f, 0.3290700544435449f,
  0.3291153211439573f, 0.3291605870880802f, 0.3292058522758098f, 0.3292511167070420f,
  0.3292963803816727f, 0.3293416432995982f, 0.3293869054607141f, 0.3294321668649167f,
  0.3294774275121017f, 0.3295226874021653f, 0.3295679465350035f, 0.3296132049105122f,
  0.3296584625285875f, 0.3297037193891253f, 0.3297489754920216f, 0.3297942308371725f,
  0.3298394854244739f, 0.3298847392538219f, 0.3299299923251125f, 0.3299752446382417f,
  0.3300204961931054f, 0.3300657469895997f, 0.3301109970276208f, 0.3301562463070644f,
  0.3302014948278266f, 0.3302467425898036f, 0.3302919895928912f, 0.3303372358369857f,
  0.3303824813219828f, 0.3304277260477787f, 0.3304729700142695f, 0.3305182132213510f,
  0.3305634556689195f, 0.3306086973568709f, 0.3306539382851013f, 0.3306991784535065f,
  0.3307444178619829f, 0.3307896565104264f, 0.3308348943987329f, 0.3308801315267986f,
  0.3309253678945195f, 0.3309706035017917f, 0.3310158383485112f, 0.3310610724345741f,
  0.3311063057598764f, 0.3311515383243142f, 0.3311967701277835f, 0.3312420011701803f,
  0.3312872314514008f, 0.3313324609713411f, 0.3313776897298972f, 0.3314229177269651f,
  0.3314681449624409f, 0.3315133714362206f, 0.3315585971482005f, 0.3316038220982765f,
  0.3316490462863447f, 0.3316942697123011f, 0.3317394923760420f, 0.3317847142774633f,
  0.3318299354164611f, 0.3318751557929316f, 0.3319203754067707f, 0.3319655942578746f,
  0.3320108123461394f, 0.3320560296714611f, 0.3321012462337360f, 0.3321464620328600f,
  0.3321916770687292f, 0.3322368913412397f, 0.3322821048502878f, 0.3323273175957694f,
  0.3323725295775806f, 0.3324177407956176f, 0.3324629512497765f, 0.3325081609399533f,
  0.3325533698660442f, 0.3325985780279453f, 0.3326437854255528f, 0.3326889920587627f,
  0.3327341979274711f, 0.3327794030315742f, 0.3328246073709680f, 0.3328698109455488f,
  0.3329150137552127f, 0.3329602157998556f, 0.3330054170793739f, 0.3330506175936636f,
  0.3330958173426208f, 0.3331410163261417f, 0.3331862145441224f, 0.3332314119964591f,
  0.3332766086830479f, 0.3333218046037850f, 0.3333669997585663f, 0.3334121941472883f,
  0.3334573877698468f, 0.3335025806261382f, 0.3335477727160586f, 0.3335929640395041f,
  0.3336381545963709f, 0.3336833443865550f, 0.3337285334099527f, 0.3337737216664602f,
  0.3338189091559736f, 0.3338640958783891f, 0.3339092818336027f, 0.3339544670215108f,
  0.3339996514420094f, 0.3340448350949947f, 0.3340900179803630f, 0.3341352000980102f,
  0.3341803814478327f, 0.3342255620297266f, 0.3342707418435882f, 0.3343159208893135f,
  0.3343610991667987f, 0.3344062766759401f, 0.3344514534166338f, 0.3344966293887760f,
  0.3345418045922629f, 0.3345869790269907f, 0.3346321526928556f, 0.3346773255897537f,
  0.3347224977175812f, 0.3347676690762345f, 0.3348128396656096f, 0.3348580094856028f,
  0.3349031785361102f, 0.3349483468170281f, 0.3349935143282526f, 0.3350386810696800f,
  0.3350838470412066f, 0.3351290122427284f, 0.3351741766741418f, 0.3352193403353428f,
  0.3352645032262278f, 0.3353096653466930f, 0.3353548266966345f, 0.3353999872759487f,
  0.3354451470845316f, 0.3354903061222796f, 0.3355354643890889f, 0.3355806218848557f,
  0.3356257786094763f, 0.3356709345628468f, 0.3357160897448635f, 0.3357612441554226f,
  0.3358063977944205f, 0.3358515506617533f, 0.3358967027573171f, 0.3359418540810085f,
  0.3359870046327234f, 0.3360321544123582f, 0.3360773034198092f, 0.3361224516549725f,
  0.3361675991177446f, 0.3362127458080214f, 0.3362578917256995f, 0.3363030368706749f,
  0.3363481812428440f, 0.3363933248421031f, 0.3364384676683483f, 0.3364836097214760f,
  0.3365287510013824f, 0.3365738915079638f, 0.3366190312411165f, 0.3366641702007366f,
  0.3367093083867206f, 0.3367544457989647f, 0.3367995824373651f, 0.3368447183018181f,
  0.3368898533922201f, 0.3369349877084672f, 0.3369801212504558f, 0.3370252540180821f,
  0.3370703860112426f, 0.3371155172298334f, 0.3371606476737508f, 0.3372057773428911f,
  0.3372509062371506f, 0.3372960343564257f, 0.3373411617006125f, 0.3373862882696075f,
  0.3374314140633068f, 0.3374765390816069f, 0.3375216633244041f, 0.3375667867915945f,
  0.3376119094830746f, 0.3376570313987406f, 0.3377021525384889f, 0.3377472729022157f,
  0.3377923924898175f, 0.3378375113011904f, 0.3378826293362309f, 0.3379277465948353f,
  0.3379728630768997f, 0.3380179787823207f, 0.3380630937109946f, 0.3381082078628175f,
  0.3381533212376860f, 0.3381984338354962f, 0.3382435456561446f, 0.3382886566995275f,
  0.3383337669655411f, 0.3383788764540820f, 0.3384239851650463f, 0.3384690930983305f,
  0.3385142002538309f, 0.3385593066314438f, 0.3386044122310656f, 0.3386495170525926f,
  0.3386946210959212f, 0.3387397243609477f, 0.3387848268475686f, 0.3388299285556800f,
  0.3388750294851784f, 0.3389201296359603f, 0.3389652290079219f, 0.3390103276009595f,
  0.3390554254149696f, 0.3391005224498485f, 0.3391456187054926f, 0.3391907141817984f,
  0.3392358088786619f, 0.3392809027959799f, 0.3393259959336485f, 0.3393710882915643f,
  0.3394161798696234f, 0.3394612706677223f, 0.3395063606857575f, 0.3395514499236253f,
  0.3395965383812221f, 0.3396416260584442f, 0.3396867129551882f, 0.3397317990713502f,
  0.3397768844068269f, 0.3398219689615145f, 0.3398670527353094f, 0.3399121357281081f,
  0.3399572179398069f, 0.3400022993703022f, 0.3400473800194906f, 0.3400924598872683f,
  0.3401375389735318f, 0.3401826172781774f, 0.3402276948011017f, 0.3402727715422010f,
  0.3403178475013717f, 0.3403629226785103f, 0.3404079970735130f, 0.3404530706862765f,
  0.3404981435166972f, 0.3405432155646713f, 0.3405882868300955f, 0.3406333573128659f,
  0.3406784270128793f, 0.3407234959300318f, 0.3407685640642201f, 0.3408136314153405f,
  0.3408586979832894f, 0.3409037637679634f, 0.3409488287692588f, 0.3409938929870721f,
  0.3410389564212997f, 0.3410840190718381f, 0.3411290809385837f, 0.3411741420214330f,
  0.3412192023202824f, 0.3412642618350284f, 0.3413093205655674f, 0.3413543785117960f,
  0.3413994356736104f, 0.3414444920509073f, 0.3414895476435831f, 0.3415346024515342f,
  0.3415796564746572f, 0.3416247097128483f, 0.3416697621660043f, 0.3417148138340215f,
  0.3417598647167963f, 0.3418049148142254f, 0.3418499641262050f, 0.3418950126526318f,
  0.3419400603934022f, 0.3419851073484127f, 0.3420301535175598f, 0.3420751989007399f,
  0.3421202434978496f, 0.3421652873087853f, 0.3422103303334434f, 0.3422553725717208f,
  0.3423004140235135f, 0.3423454546887184f, 0.3423904945672316f, 0.3424355336589499f,
  0.3424805719637698f, 0.3425256094815876f, 0.3425706462123000f, 0.3426156821558034f,
  0.3426607173119944f, 0.3427057516807694f, 0.3427507852620250f, 0.3427958180556577f,
  0.3428408500615640f, 0.3428858812796404f, 0.3429309117097834f, 0.3429759413518896f,
  0.3430209702058555f, 0.3430659982715776f, 0.3431110255489525f, 0.3431560520378766f,
  0.3432010777382465f, 0.3432461026499589f, 0.3432911267729100f, 0.3433361501069965f,
  0.3433811726521150f, 0.3434261944081620f, 0.3434712153750341f, 0.3435162355526277f,
  0.3435612549408394f, 0.3436062735395658f, 0.3436512913487034f, 0.3436963083681488f,
  0.3437413245977985f, 0.3437863400375491f, 0.3438313546872971f, 0.3438763685469391f,
  0.3439213816163717f, 0.3439663938954914f, 0.3440114053841948f, 0.3440564160823784f,
  0.3441014259899389f, 0.3441464351067727f, 0.3441914434327764f, 0.3442364509678468f,
  0.3442814577118802f, 0.3443264636647733f, 0.3443714688264227f, 0.3444164731967249f,
  0.3444614767755765f, 0.3445064795628741f, 0.3445514815585144f, 0.3445964827623938f,
  0.3446414831744090f, 0.3446864827944565f, 0.3447314816224331f, 0.3447764796582351f,
  0.3448214769017593f, 0.3448664733529023f, 0.3449114690115606f, 0.3449564638776308f,
  0.3450014579510097f, 0.3450464512315936f, 0.3450914437192794f, 0.3451364354139635f,
  0.3451814263155425f, 0.3452264164239133f, 0.3452714057389722f, 0.3453163942606160f,
  0.3453613819887412f, 0.3454063689232445f, 0.3454513550640225f, 0.3454963404109718f,
  0.3455413249639891f, 0.3455863087229709f, 0.3456312916878140f, 0.3456762738584148f,
  0.3457212552346701f, 0.3457662358164766f, 0.3458112156037308f, 0.3458561945963294f,
  0.3459011727941690f, 0.3459461501971462f, 0.3459911268051578f, 0.3460361026181003f,
  0.3460810776358705f, 0.3461260518583648f, 0.3461710252854801f, 0.3462159979171129f,
  0.3462609697531600f, 0.3463059407935180f, 0.3463509110380834f, 0.3463958804867530f,
  0.3464408491394235f, 0.3464858169959915f, 0.3465307840563537f, 0.3465757503204068f,
  0.3466207157880474f, 0.3466656804591721f, 0.3467106443336777f, 0.3467556074114609f,
  0.3468005696924183f, 0.3468455311764466f, 0.3468904918634425f, 0.3469354517533026f,
  0.3469804108459237f, 0.3470253691412024f, 0.3470703266390354f, 0.3471152833393195f,
  0.3471602392419512f, 0.3472051943468273f, 0.3472501486538446f, 0.3472951021628996f,
  0.3473400548738891f, 0.3473850067867098f, 0.3474299579012584f, 0.3474749082174316f,
  0.3475198577351261f, 0.3475648064542387f, 0.3476097543746659f, 0.3476547014963046f,
  0.3476996478190514f, 0.3477445933428031f, 0.3477895380674563f, 0.3478344819929080f,
  0.3478794251190545f, 0.3479243674457929f, 0.3479693089730197f, 0.3480142497006317f,
  0.3480591896285257f, 0.3481041287565982f, 0.3481490670847462f, 0.3481940046128663f,
  0.3482389413408553f, 0.3482838772686099f, 0.3483288123960268f, 0.3483737467230028f,
  0.3484186802494346f, 0.3484636129752189f, 0.3485085449002526f, 0.3485534760244324f,
  0.3485984063476550f, 0.3486433358698171f, 0.3486882645908155f, 0.3487331925105471f,
  0.3487781196289084f, 0.3488230459457964f, 0.3488679714611077f, 0.3489128961747391f,
  0.3489578200865875f, 0.3490027431965494f, 0.3490476655045218f, 0.3490925870104014f,
  0.3491375077140850f, 0.3491824276154692f, 0.3492273467144510f, 0.3492722650109272f,
  0.3493171825047944f, 0.3493620991959494f, 0.3494070150842891f, 0.3494519301697102f,
  0.3494968444521095f, 0.3495417579313838f, 0.3495866706074300f, 0.3496315824801447f,
  0.3496764935494248f, 0.3497214038151670f, 0.3497663132772683f, 0.3498112219356254f,
  0.3498561297901349f, 0.3499010368406939f, 0.3499459430871991f, 0.3499908485295473f,
  0.3500357531676353f, 0.3500806570013599f, 0.3501255600306179f, 0.3501704622553062f,
  0.3502153636753216f, 0.3502602642905609f, 0.3503051641009208f, 0.3503500631062983f,
  0.3503949613065901f, 0.3504398587016931f, 0.3504847552915042f, 0.3505296510759200f,
  0.3505745460548376f, 0.3506194402281536f, 0.3506643335957649f, 0.3507092261575686f,
  0.3507541179134611f, 0.3507990088633395f, 0.3508438990071006f, 0.3508887883446413f,
  0.3509336768758584f, 0.3509785646006486f, 0.3510234515189091f, 0.3510683376305364f,
  0.3511132229354275f, 0.3511581074334793f, 0.3512029911245885f, 0.3512478740086523f,
  0.3512927560855671f, 0.3513376373552301f, 0.3513825178175380f, 0.3514273974723878f,
  0.3514722763196763f, 0.3515171543593003f, 0.3515620315911568f, 0.3516069080151426f,
  0.3516517836311546f, 0.3516966584390896f, 0.3517415324388447f, 0.3517864056303165f,
  0.3518312780134020f, 0.3518761495879982f, 0.3519210203540019f, 0.3519658903113098f,
  0.3520107594598191f, 0.3520556277994266f, 0.3521004953300291f, 0.3521453620515235f,
  0.3521902279638068f, 0.3522350930667759f, 0.3522799573603276f, 0.3523248208443589f,
  0.3523696835187666f, 0.3524145453834477f, 0.3524594064382992f, 0.3525042666832178f,
  0.3525491261181005f, 0.3525939847428442f, 0.3526388425573458f, 0.3526836995615024f,
  0.3527285557552107f, 0.3527734111383677f, 0.3528182657108704f, 0.3528631194726156f,
  0.3529079724235002f, 0.3529528245634214f, 0.3529976758922758f, 0.3530425264099605f,
  0.3530873761163725f, 0.3531322250114086f, 0.3531770730949658f, 0.3532219203669411f,
  0.3532667668272312f, 0.3533116124757333f, 0.3533564573123444f, 0.3534013013369612f,
  0.3534461445494808f, 0.3534909869498001f, 0.3535358285378161f, 0.3535806693134257f,
  0.3536255092765260f, 0.3536703484270138f, 0.3537151867647860f, 0.3537600242897398f,
  0.3538048610017721f, 0.3538496969007797f, 0.3538945319866597f, 0.3539393662593091f,
  0.3539841997186248f, 0.3540290323645038f, 0.3540738641968431f, 0.3541186952155396f,
  0.3541635254204903f, 0.3542083548115924f, 0.3542531833887426f, 0.3542980111518380f,
  0.3543428381007755f, 0.3543876642354523f, 0.3544324895557652f, 0.3544773140616113f,
  0.3545221377528875f, 0.3545669606294908f, 0.3546117826913183f, 0.3546566039382670f,
  0.3547014243702338f, 0.3547462439871159f, 0.3547910627888100f, 0.3548358807752133f,
  0.3548806979462228f, 0.3549255143017355f, 0.3549703298416484f, 0.3550151445658585f,
  0.3550599584742629f, 0.3551047715667586f, 0.3551495838432425f, 0.3551943953036117f,
  0.3552392059477633f, 0.3552840157755943f, 0.3553288247870016f, 0.3553736329818824f,
  0.3554184403601336f, 0.3554632469216524f, 0.3555080526663357f, 0.3555528575940805f,
  0.3555976617047839f, 0.3556424649983430f, 0.3556872674746547f, 0.3557320691336163f,
  0.3557768699751246f, 0.3558216699990768f, 0.3558664692053699f, 0.3559112675939008f,
  0.3559560651645669f, 0.3560008619172649f, 0.3560456578518921f, 0.3560904529683455f,
  0.3561352472665221f, 0.3561800407463191f, 0.3562248334076333f, 0.3562696252503622f,
  0.3563144162744024f, 0.3563592064796512f, 0.3564039958660058f, 0.3564487844333630f,
  0.3564935721816201f, 0.3565383591106741f, 0.3565831452204221f, 0.3566279305107611f,
  0.3566727149815883f, 0.3567174986328007f, 0.3567622814642954f, 0.3568070634759696f,
  0.3568518446677203f, 0.3568966250394445f, 0.3569414045910396f, 0.3569861833224023f,
  0.3570309612334300f, 0.3570757383240197f, 0.3571205145940685f, 0.3571652900434736f,
  0.3572100646721320f, 0.3572548384799408f, 0.3572996114667971f, 0.3573443836325981f,
  0.3573891549772409f, 0.3574339255006226f, 0.3574786952026404f, 0.3575234640831912f,
  0.3575682321421723f, 0.3576129993794808f, 0.3576577657950138f, 0.3577025313886685f,
  0.3577472961603419f, 0.3577920601099312f, 0.3578368232373336f, 0.3578815855424461f,
  0.3579263470251661f, 0.3579711076853904f, 0.3580158675230163f, 0.3580606265379410f,
  0.3581053847300616f, 0.3581501420992753f, 0.3581948986454790f, 0.3582396543685702f,
  0.3582844092684458f, 0.3583291633450031f, 0.3583739165981393f, 0.3584186690277513f,
  0.3584634206337366f, 0.3585081714159921f, 0.3585529213744150f, 0.3585976705089026f,
  0.3586424188193520f, 0.3586871663056603f, 0.3587319129677248f, 0.3587766588054426f,
  0.3588214038187109f, 0.3588661480074268f, 0.3589108913714876f, 0.3589556339107904f,
  0.3590003756252325f, 0.3590451165147109f, 0.3590898565791229f, 0.3591345958183658f,
  0.3591793342323365f, 0.3592240718209325f, 0.3592688085840507f, 0.3593135445215885f,
  0.3593582796334431f, 0.3594030139195117f, 0.3594477473796914f, 0.3594924800138795f,
  0.3595372118219731f, 0.3595819428038695f, 0.3596266729594659f, 0.3596714022886595f,
  0.3597161307913476f, 0.3597608584674272f, 0.3598055853167957f, 0.3598503113393502f,
  0.3598950365349882f, 0.3599397609036065f, 0.3599844844451026f, 0.3600292071593738f,
  0.3600739290463170f, 0.3601186501058298f, 0.3601633703378092f, 0.3602080897421525f,
  0.3602528083187569f, 0.3602975260675196f, 0.3603422429883381f, 0.3603869590811093f,
  0.3604316743457308f, 0.3604763887820995f, 0.3605211023901128f, 0.3605658151696680f,
  0.3606105271206623f, 0.3606552382429929f, 0.3606999485365572f, 0.3607446580012523f,
  0.3607893666369756f, 0.3608340744436243f, 0.3608787814210956f, 0.3609234875692868f,
  0.3609681928880952f, 0.3610128973774181f, 0.3610576010371527f, 0.3611023038671964f,
  0.3611470058674462f, 0.3611917070377997f, 0.3612364073781540f, 0.3612811068884064f,
  0.3613258055684543f, 0.3613705034181948f, 0.3614152004375253f, 0.3614598966263430f,
  0.3615045919845453f, 0.3615492865120294f, 0.3615939802086927f, 0.3616386730744324f,
  0.3616833651091458f, 0.3617280563127303f, 0.3617727466850831f, 0.3618174362261016f,
  0.3618621249356830f, 0.3619068128137246f, 0.3619514998601238f, 0.3619961860747779f,
  0.3620408714575842f, 0.3620855560084400f, 0.3621302397272426f, 0.3621749226138893f,
  0.3622196046682775f, 0.3622642858903045f, 0.3623089662798676f, 0.3623536458368641f,
  0.3623983245611914f, 0.3624430024527467f, 0.3624876795114275f, 0.3625323557371311f,
  0.3625770311297548f, 0.3626217056891959f, 0.3626663794153517f, 0.3627110523081197f,
  0.3627557243673972f, 0.3628003955930815f, 0.3628450659850699f, 0.3628897355432598f,
  0.3629344042675486f, 0.3629790721578336f, 0.3630237392140122f, 0.3630684054359817f,
  0.3631130708236395f, 0.3631577353768830f, 0.3632023990956094f, 0.3632470619797162f,
  0.3632917240291008f, 0.3633363852436604f, 0.3633810456232926f, 0.3634257051678946f,
  0.3634703638773638f, 0.3635150217515976f, 0.3635596787904934f, 0.3636043349939486f,
  0.3636489903618605f, 0.3636936448941266f, 0.3637382985906442f, 0.3637829514513107f,
  0.3638276034760235f, 0.3638722546646799f, 0.3639169050171775f, 0.3639615545334136f,
  0.3640062032132855f, 0.3640508510566907f, 0.3640954980635265f, 0.3641401442336905f,
  0.3641847895670799f, 0.3642294340635922f, 0.3642740777231249f, 0.3643187205455752f,
  0.3643633625308407f, 0.3644080036788187f, 0.3644526439894066f, 0.3644972834625020f,
  0.3645419220980021f, 0.3645865598958046f, 0.3646311968558066f, 0.3646758329779056f,
  0.3647204682619993f, 0.3647651027079848f, 0.3648097363157597f, 0.3648543690852214f,
  0.3648990010162673f, 0.3649436321087949f, 0.3649882623627017f, 0.3650328917778849f,
  0.3650775203542422f, 0.3651221480916710f, 0.3651667749900686f, 0.3652114010493325f,
  0.3652560262693603f, 0.3653006506500493f, 0.3653452741912970f, 0.3653898968930009f,
  0.3654345187550584f, 0.3654791397773670f, 0.3655237599598241f, 0.3655683793023273f,
  0.3656129978047739f, 0.3656576154670614f, 0.3657022322890874f, 0.3657468482707493f,
  0.3657914634119446f, 0.3658360777125707f, 0.3658806911725250f, 0.3659253037917053f,
  0.3659699155700087f, 0.3660145265073331f, 0.3660591366035756f, 0.3661037458586339f,
  0.3661483542724053f, 0.3661929618447876f, 0.3662375685756781f, 0.3662821744649742f,
  0.3663267795125736f, 0.3663713837183737f, 0.3664159870822720f, 0.3664605896041661f,
  0.3665051912839534f, 0.3665497921215314f, 0.3665943921167976f, 0.3666389912696496f,
  0.3666835895799849f, 0.3667281870477010f, 0.3667727836726954f, 0.3668173794548656f,
  0.3668619743941091f, 0.3669065684903235f, 0.3669511617434063f, 0.3669957541532550f,
  0.3670403457197672f, 0.3670849364428403f, 0.3671295263223720f, 0.3671741153582597f,
  0.3672187035504010f, 0.3672632908986934f, 0.3673078774030344f, 0.3673524630633217f,
  0.3673970478794527f, 0.3674416318513251f, 0.3674862149788362f, 0.3675307972618838f,
  0.3675753787003653f, 0.3676199592941783f, 0.3676645390432204f, 0.3677091179473891f,
  0.3677536960065820f, 0.3677982732206965f, 0.3678428495896304f, 0.3678874251132813f,
  0.3679319997915464f, 0.3679765736243237f, 0.3680211466115104f, 0.3680657187530044f,
  0.3681102900487030f, 0.3681548604985040f, 0.3681994301023049f, 0.3682439988600032f,
  0.3682885667714966f, 0.3683331338366826f, 0.3683777000554588f, 0.3684222654277229f,
  0.3684668299533723f, 0.3685113936323048f, 0.3685559564644178f, 0.3686005184496090f,
  0.3686450795877760f, 0.3686896398788164f, 0.3687341993226278f, 0.3687787579191077f,
  0.3688233156681539f, 0.3688678725696639f, 0.3689124286235353f, 0.3689569838296657f,
  0.3690015381879528f, 0.3690460916982942f, 0.3690906443605874f, 0.3691351961747301f,
  0.3691797471406200f, 0.3692242972581546f, 0.3692688465272316f, 0.3693133949477486f,
  0.3693579425196031f, 0.3694024892426931f, 0.3694470351169158f, 0.3694915801421692f,
  0.3695361243183506f, 0.3695806676453580f, 0.3696252101230887f, 0.3696697517514406f,
  0.3697142925303112f, 0.3697588324595982f, 0.3698033715391992f, 0.3698479097690120f,
  0.3698924471489341f, 0.3699369836788632f, 0.3699815193586969f, 0.3700260541883331f,
  0.3700705881676691f, 0.3701151212966027f, 0.3701596535750318f, 0.3702041850028537f,
  0.3702487155799664f, 0.3702932453062673f, 0.3703377741816543f, 0.3703823022060249f,
  0.3704268293792768f, 0.3704713557013078f, 0.3705158811720154f, 0.3705604057912975f,
  0.3706049295590517f, 0.3706494524751755f, 0.3706939745395669f, 0.3707384957521233f,
  0.3707830161127426f, 0.3708275356213224f, 0.3708720542777604f, 0.3709165720819544f,
  0.3709610890338020f, 0.3710056051332009f, 0.3710501203800488f, 0.3710946347742434f,
  0.3711391483156826f, 0.3711836610042638f, 0.3712281728398849f, 0.3712726838224435f,
  0.3713171939518375f, 0.3713617032279645f, 0.3714062116507222f, 0.3714507192200084f,
  0.3714952259357208f, 0.3715397317977570f, 0.3715842368060149f, 0.3716287409603921f,
  0.3716732442607865f, 0.3717177467070957f, 0.3717622482992173f, 0.3718067490370494f,
  0.3718512489204895f, 0.3718957479494354f, 0.3719402461237847f, 0.3719847434434354f,
  0.3720292399082850f, 0.3720737355182314f, 0.3721182302731724f, 0.3721627241730056f,
  0.3722072172176289f, 0.3722517094069399f, 0.3722962007408365f, 0.3723406912192164f,
  0.3723851808419774f, 0.3724296696090172f, 0.3724741575202336f, 0.3725186445755243f,
  0.3725631307747873f, 0.3726076161179200f, 0.3726521006048206f, 0.3726965842353865f,
  0.3727410670095158f, 0.3727855489271060f, 0.3728300299880551f, 0.3728745101922608f,
  0.3729189895396208f, 0.3729634680300331f, 0.3730079456633952f, 0.3730524224396051f,
  0.3730968983585606f, 0.3731413734201595f, 0.3731858476242995f, 0.3732303209708783f,
  0.3732747934597940f, 0.3733192650909443f, 0.3733637358642268f, 0.3734082057795396f,
  0.3734526748367803f, 0.3734971430358468f, 0.3735416103766369f, 0.3735860768590484f,
  0.3736305424829793f, 0.3736750072483271f, 0.3737194711549898f, 0.3737639342028652f,
  0.3738083963918512f, 0.3738528577218456f, 0.3738973181927461f, 0.3739417778044506f,
  0.3739862365568570f, 0.3740306944498631f, 0.3740751514833668f, 0.3741196076572658f,
  0.3741640629714580f, 0.3742085174258413f, 0.3742529710203134f, 0.3742974237547724f,
  0.3743418756291159f, 0.3743863266432420f, 0.3744307767970482f, 0.3744752260904327f,
  0.3745196745232932f, 0.3745641220955276f, 0.3746085688070337f, 0.3746530146577094f,
  0.3746974596474527f, 0.3747419037761612f, 0.3747863470437329f, 0.3748307894500658f,
  0.3748752309950575f, 0.3749196716786062f, 0.3749641115006095f, 0.3750085504609655f,
  0.3750529885595719f, 0.3750974257963267f, 0.3751418621711277f, 0.3751862976838728f,
  0.3752307323344599f, 0.3752751661227870f, 0.3753195990487518f, 0.3753640311122524f,
  0.3754084623131866f, 0.3754528926514522f, 0.3754973221269473f, 0.3755417507395696f,
  0.3755861784892172f, 0.3756306053757879f, 0.3756750313991796f, 0.3757194565592902f,
  0.3757638808560177f, 0.3758083042892599f, 0.3758527268589149f, 0.3758971485648804f,
  0.3759415694070544f, 0.3759859893853349f, 0.3760304084996198f, 0.3760748267498070f,
  0.3761192441357943f, 0.3761636606574799f, 0.3762080763147615f, 0.3762524911075372f,
  0.3762969050357048f, 0.3763413180991623f, 0.3763857302978077f, 0.3764301416315388f,
  0.3764745521002538f, 0.3765189617038503f, 0.3765633704422265f, 0.3766077783152803f,
  0.3766521853229096f, 0.3766965914650124f, 0.3767409967414866f, 0.3767854011522303f,
  0.3768298046971413f, 0.3768742073761177f, 0.3769186091890572f, 0.3769630101358581f,
  0.3770074102164183f, 0.3770518094306355f, 0.3770962077784081f, 0.3771406052596337f,
  0.3771850018742104f, 0.3772293976220363f, 0.3772737925030092f, 0.3773181865170273f,
  0.3773625796639883f, 0.3774069719437904f, 0.3774513633563316f, 0.3774957539015097f,
  0.3775401435792229f, 0.3775845323893691f, 0.3776289203318463f, 0.3776733074065525f,
  0.3777176936133856f, 0.3777620789522438f, 0.3778064634230250f, 0.3778508470256273f,
  0.3778952297599485f, 0.3779396116258868f, 0.3779839926233401f, 0.3780283727522065f,
  0.3780727520123841f, 0.3781171304037706f, 0.3781615079262643f, 0.3782058845797632f,
  0.3782502603641652f, 0.3782946352793685f, 0.3783390093252709f, 0.3783833825017706f,
  0.3784277548087656f, 0.3784721262461539f, 0.3785164968138336f, 0.3785608665117026f,
  0.3786052353396592f, 0.3786496032976012f, 0.3786939703854267f, 0.3787383366030338f,
  0.3787827019503205f, 0.3788270664271849f, 0.3788714300335251f, 0.3789157927692390f,
  0.3789601546342247f, 0.3790045156283804f, 0.3790488757516040f, 0.3790932350037936f,
  0.3791375933848473f, 0.3791819508946632f, 0.3792263075331393f, 0.3792706633001737f,
  0.3793150181956644f, 0.3793593722195096f, 0.3794037253716073f, 0.3794480776518556f,
  0.3794924290601526f, 0.3795367795963963f, 0.3795811292604849f, 0.3796254780523164f,
  0.3796698259717889f, 0.3797141730188006f, 0.3797585191932495f, 0.3798028644950336f,
  0.3798472089240512f, 0.3798915524802002f, 0.3799358951633788f, 0.3799802369734852f,
  0.3800245779104173f, 0.3800689179740734f, 0.3801132571643514f, 0.3801575954811496f,
  0.3802019329243660f, 0.3802462694938989f, 0.3802906051896461f, 0.3803349400115060f,
  0.3803792739593766f, 0.3804236070331560f, 0.3804679392327424f, 0.3805122705580338f,
  0.3805566010089286f, 0.3806009305853246f, 0.3806452592871201f, 0.3806895871142132f,
  0.3807339140665021f, 0.3807782401438849f, 0.3808225653462597f, 0.3808668896735247f,
  0.3809112131255781f, 0.3809555357023178f, 0.3809998574036423f, 0.3810441782294495f,
  0.3810884981796375f, 0.3811328172541047f, 0.3811771354527492f, 0.3812214527754690f,
  0.3812657692221624f, 0.3813100847927274f, 0.3813543994870625f, 0.3813987133050654f,
  0.3814430262466347f, 0.3814873383116684f, 0.3815316495000646f, 0.3815759598117215f,
  0.3816202692465374f, 0.3816645778044103f, 0.3817088854852386f, 0.3817531922889203f,
  0.3817974982153536f, 0.3818418032644368f, 0.3818861074360680f, 0.3819304107301454f,
  0.3819747131465673f, 0.3820190146852317f, 0.3820633153460369f, 0.3821076151288812f,
  0.3821519140336626f, 0.3821962120602795f, 0.3822405092086299f, 0.3822848054786122f,
  0.3823291008701245f, 0.3823733953830650f, 0.3824176890173320f, 0.3824619817728237f,
  0.3825062736494383f, 0.3825505646470739f, 0.3825948547656289f, 0.3826391440050015f,
  0.3826834323650898f, 0.3827277198457921f, 0.3827720064470067f, 0.3828162921686317f,
  0.3828605770105654f, 0.3829048609727060f, 0.3829491440549520f, 0.3829934262572012f,
  0.3830377075793521f, 0.3830819880213029f, 0.3831262675829518f, 0.3831705462641972f,
  0.3832148240649372f, 0.3832591009850700f, 0.3833033770244941f, 0.3833476521831075f,
  0.3833919264608087f, 0.3834361998574957f, 0.3834804723730669f, 0.3835247440074205f,
  0.3835690147604549f, 0.3836132846320683f, 0.3836575536221589f, 0.3837018217306251f,
  0.3837460889573650f, 0.3837903553022770f, 0.3838346207652594f, 0.3838788853462105f,
  0.3839231490450284f, 0.3839674118616115f, 0.3840116737958582f, 0.3840559348476666f,
  0.3841001950169350f, 0.3841444543035619f, 0.3841887127074454f, 0.3842329702284838f,
  0.3842772268665755f, 0.3843214826216187f, 0.3843657374935119f, 0.3844099914821531f,
  0.3844542445874409f, 0.3844984968092733f, 0.3845427481475489f, 0.3845869986021659f,
  0.3846312481730226f, 0.3846754968600173f, 0.3847197446630484f, 0.3847639915820141f,
  0.3848082376168129f, 0.3848524827673429f, 0.3848967270335026f, 0.3849409704151903f,
  0.3849852129123042f, 0.3850294545247429f, 0.3850736952524044f, 0.3851179350951873f,
  0.3851621740529899f, 0.3852064121257103f, 0.3852506493132472f, 0.3852948856154987f,
  0.3853391210323633f, 0.3853833555637393f, 0.3854275892095250f, 0.3854718219696187f,
  0.3855160538439188f, 0.3855602848323239f, 0.3856045149347320f, 0.3856487441510416f,
  0.3856929724811511f, 0.3857371999249589f, 0.3857814264823632f, 0.3858256521532626f,
  0.3858698769375554f, 0.3859141008351398f, 0.3859583238459143f, 0.3860025459697773f,
  0.3860467672066272f, 0.3860909875563623f, 0.3861352070188810f, 0.3861794255940818f,
  0.3862236432818630f, 0.3862678600821229f, 0.3863120759947601f, 0.3863562910196728f,
  0.3864005051567595f, 0.3864447184059185f, 0.3864889307670483f, 0.3865331422400474f,
  0.3865773528248139f, 0.3866215625212465f, 0.3866657713292435f, 0.3867099792487032f,
  0.3867541862795242f, 0.3867983924216048f, 0.3868425976748435f, 0.3868868020391386f,
  0.3869310055143886f, 0.3869752081004919f, 0.3870194097973469f, 0.3870636106048522f,
  0.3871078105229060f, 0.3871520095514068f, 0.3871962076902531f, 0.3872404049393433f,
  0.3872846012985758f, 0.3873287967678490f, 0.3873729913470615f, 0.3874171850361117f,
  0.3874613778348979f, 0.3875055697433187f, 0.3875497607612724f, 0.3875939508886576f,
  0.3876381401253727f, 0.3876823284713162f, 0.3877265159263865f, 0.3877707024904820f,
  0.3878148881635012f, 0.3878590729453427f, 0.3879032568359048f, 0.3879474398350861f,
  0.3879916219427849f, 0.3880358031588999f, 0.3880799834833293f, 0.3881241629159717f,
  0.3881683414567257f, 0.3882125191054897f, 0.3882566958621622f, 0.3883008717266415f,
  0.3883450466988263f, 0.3883892207786150f, 0.3884333939659061f, 0.3884775662605982f,
  0.3885217376625896f, 0.3885659081717789f, 0.3886100777880646f, 0.3886542465113452f,
  0.3886984143415192f, 0.3887425812784851f, 0.3887867473221414f, 0.3888309124723866f,
  0.3888750767291193f, 0.3889192400922378f, 0.3889634025616409f, 0.3890075641372269f,
  0.3890517248188944f, 0.3890958846065419f, 0.3891400435000679f, 0.3891842014993710f,
  0.3892283586043497f, 0.3892725148149025f, 0.3893166701309280f, 0.3893608245523246f,
  0.3894049780789909f, 0.3894491307108255f, 0.3894932824477269f, 0.3895374332895937f,
  0.3895815832363243f, 0.3896257322878173f, 0.3896698804439713f, 0.3897140277046848f,
  0.3897581740698565f, 0.3898023195393847f, 0.3898464641131681f, 0.3898906077911053f,
  0.3899347505730947f, 0.3899788924590351f, 0.3900230334488248f, 0.3900671735423625f,
  0.3901113127395469f, 0.3901554510402763f, 0.3901995884444495f, 0.3902437249519649f,
  0.3902878605627212f, 0.3903319952766170f, 0.3903761290935507f, 0.3904202620134211f,
  0.3904643940361266f, 0.3905085251615660f, 0.3905526553896376f, 0.3905967847202402f,
  0.3906409131532724f, 0.3906850406886327f, 0.3907291673262198f, 0.3907732930659322f,
  0.3908174179076685f, 0.3908615418513274f, 0.3909056648968074f, 0.3909497870440072f,
  0.3909939082928254f, 0.3910380286431605f, 0.3910821480949112f, 0.3911262666479761f,
  0.3911703843022539f, 0.3912145010576430f, 0.3912586169140423f, 0.3913027318713503f,
  0.3913468459294656f, 0.3913909590882868f, 0.3914350713477125f, 0.3914791827076416f,
  0.3915232931679724f, 0.3915674027286037f, 0.3916115113894342f, 0.3916556191503624f,
  0.3916997260112870f, 0.3917438319721067f, 0.3917879370327200f, 0.3918320411930257f,
  0.3918761444529223f, 0.3919202468123087f, 0.3919643482710833f, 0.3920084488291449f,
  0.3920525484863921f, 0.3920966472427235f, 0.3921407450980380f, 0.3921848420522340f,
  0.3922289381052103f, 0.3922730332568656f, 0.3923171275070984f, 0.3923612208558076f,
  0.3924053133028917f, 0.3924494048482495f, 0.3924934954917796f, 0.3925375852333807f,
  0.3925816740729515f, 0.3926257620103906f, 0.3926698490455969f, 0.3927139351784689f,
  0.3927580204089053f, 0.3928021047368049f, 0.3928461881620663f, 0.3928902706845883f,
  0.3929343523042695f, 0.3929784330210086f, 0.3930225128347044f, 0.3930665917452555f,
  0.3931106697525608f, 0.3931547468565187f, 0.3931988230570282f, 0.3932428983539878f,
  0.3932869727472964f, 0.3933310462368527f, 0.3933751188225552f, 0.3934191905043029f,
  0.3934632612819943f, 0.3935073311555283f, 0.3935514001248037f, 0.3935954681897189f,
  0.3936395353501729f, 0.3936836016060644f, 0.3937276669572921f, 0.3937717314037547f,
  0.3938157949453510f, 0.3938598575819798f, 0.3939039193135397f, 0.3939479801399296f,
  0.3939920400610481f, 0.3940360990767940f, 0.3940801571870662f, 0.3941242143917633f,
  0.3941682706907841f, 0.3942123260840274f, 0.3942563805713919f, 0.3943004341527764f,
  0.3943444868280796f, 0.3943885385972004f, 0.3944325894600375f, 0.3944766394164896f,
  0.3945206884664556f, 0.3945647366098342f, 0.3946087838465243f, 0.3946528301764244f,
  0.3946968755994336f, 0.3947409201154505f, 0.3947849637243740f, 0.3948290064261029f,
  0.3948730482205358f, 0.3949170891075717f, 0.3949611290871092f, 0.3950051681590473f,
  0.3950492063232848f, 0.3950932435797203f, 0.3951372799282528f, 0.3951813153687810f,
  0.3952253499012037f, 0.3952693835254198f, 0.3953134162413280f, 0.3953574480488273f,
  0.3954014789478164f, 0.3954455089381940f, 0.3954895380198591f, 0.3955335661927104f,
  0.3955775934566469f, 0.3956216198115672f, 0.3956656452573703f, 0.3957096697939550f,
  0.3957536934212201f, 0.3957977161390644f, 0.3958417379473868f, 0.3958857588460862f,
  0.3959297788350613f, 0.3959737979142109f, 0.3960178160834342f, 0.3960618333426296f,
  0.3961058496916963f, 0.3961498651305330f, 0.3961938796590385f, 0.3962378932771117f,
  0.3962819059846515f, 0.3963259177815568f, 0.3963699286677264f, 0.3964139386430591f,
  0.3964579477074539f, 0.3965019558608096f, 0.3965459631030251f, 0.3965899694339992f,
  0.3966339748536308f, 0.3966779793618189f, 0.3967219829584622f, 0.3967659856434598f,
  0.3968099874167103f, 0.3968539882781129f, 0.3968979882275662f, 0.3969419872649692f,
  0.3969859853902209f, 0.3970299826032201f, 0.3970739789038656f, 0.3971179742920565f,
  0.3971619687676916f, 0.3972059623306698f, 0.3972499549808900f, 0.3972939467182511f,
  0.3973379375426521f, 0.3973819274539917f, 0.3974259164521691f, 0.3974699045370829f,
  0.3975138917086324f, 0.3975578779667162f, 0.3976018633112332f, 0.3976458477420826f,
  0.3976898312591632f, 0.3977338138623738f, 0.3977777955516135f, 0.3978217763267812f,
  0.3978657561877758f, 0.3979097351344961f, 0.3979537131668414f, 0.3979976902847102f,
  0.3980416664880018f, 0.3980856417766150f, 0.3981296161504487f, 0.3981735896094019f,
  0.3982175621533736f, 0.3982615337822627f, 0.3983055044959681f, 0.3983494742943889f,
  0.3983934431774240f, 0.3984374111449723f, 0.3984813781969328f, 0.3985253443332045f,
  0.3985693095536863f, 0.3986132738582773f, 0.3986572372468762f, 0.3987011997193823f,
  0.3987451612756944f, 0.3987891219157116f, 0.3988330816393327f, 0.3988770404464568f,
  0.3989209983369829f, 0.3989649553108099f, 0.3990089113678369f, 0.3990528665079627f,
  0.3990968207310865f, 0.3991407740371073f, 0.3991847264259239f, 0.3992286778974355f,
  0.3992726284515410f, 0.3993165780881394f, 0.3993605268071297f, 0.3994044746084109f,
  0.3994484214918822f, 0.3994923674574424f, 0.3995363125049905f, 0.3995802566344257f,
  0.3996241998456468f, 0.3996681421385530f, 0.3997120835130432f, 0.3997560239690166f,
  0.3997999635063720f, 0.3998439021250085f, 0.3998878398248253f, 0.3999317766057212f,
  0.3999757124675954f, 0.4000196474103468f, 0.4000635814338745f, 0.4001075145380776f,
  0.4001514467228551f, 0.4001953779881061f, 0.4002393083337295f, 0.4002832377596245f,
  0.4003271662656901f, 0.4003710938518253f, 0.4004150205179293f, 0.4004589462639010f,
  0.4005028710896395f, 0.4005467949950439f, 0.4005907179800133f, 0.4006346400444468f,
  0.4006785611882432f, 0.4007224814113019f, 0.4007664007135218f, 0.4008103190948020f,
  0.4008542365550417f, 0.4008981530941397f, 0.4009420687119954f, 0.4009859834085077f,
  0.4010298971835756f, 0.4010738100370985f, 0.4011177219689752f, 0.4011616329791049f,
  0.4012055430673867f, 0.4012494522337197f, 0.4012933604780030f, 0.4013372678001357f,
  0.4013811742000168f, 0.4014250796775456f, 0.4014689842326211f, 0.4015128878651423f,
  0.4015567905750085f, 0.4016006923621188f, 0.4016445932263722f, 0.4016884931676679f,
  0.4017323921859050f, 0.4017762902809826f, 0.4018201874527998f, 0.4018640837012558f,
  0.4019079790262498f, 0.4019518734276807f, 0.4019957669054477f, 0.4020396594594502f,
  0.4020835510895870f, 0.4021274417957574f, 0.4021713315778605f, 0.4022152204357955f,
  0.4022591083694615f, 0.4023029953787576f, 0.4023468814635831f, 0.4023907666238369f,
  0.4024346508594184f, 0.4024785341702267f, 0.4025224165561609f, 0.4025662980171202f,
  0.4026101785530037f, 0.4026540581637106f, 0.4026979368491401f, 0.4027418146091913f,
  0.4027856914437635f, 0.4028295673527558f, 0.4028734423360674f, 0.4029173163935973f,
  0.4029611895252449f, 0.4030050617309093f, 0.4030489330104897f, 0.4030928033638854f,
  0.4031366727909953f, 0.4031805412917188f, 0.4032244088659551f, 0.4032682755136032f,
  0.4033121412345626f, 0.4033560060287322f, 0.4033998698960115f, 0.4034437328362994f,
  0.4034875948494953f, 0.4035314559354984f, 0.4035753160942078f, 0.4036191753255229f,
  0.4036630336293426f, 0.4037068910055664f, 0.4037507474540935f, 0.4037946029748229f,
  0.4038384575676541f, 0.4038823112324861f, 0.4039261639692183f, 0.4039700157777498f,
  0.4040138666579799f, 0.4040577166098078f, 0.4041015656331327f, 0.4041454137278540f,
  0.4041892608938707f, 0.4042331071310822f, 0.4042769524393878f, 0.4043207968186865f,
  0.4043646402688778f, 0.4044084827898609f, 0.4044523243815349f, 0.4044961650437992f,
  0.4045400047765530f, 0.4045838435796956f, 0.4046276814531262f, 0.4046715183967441f,
  0.4047153544104486f, 0.4047591894941390f, 0.4048030236477144f, 0.4048468568710742f,
  0.4048906891641176f, 0.4049345205267440f, 0.4049783509588525f, 0.4050221804603426f,
  0.4050660090311133f, 0.4051098366710641f, 0.4051536633800944f, 0.4051974891581032f,
  0.4052413140049899f, 0.4052851379206538f, 0.4053289609049942f, 0.4053727829579104f,
  0.4054166040793016f, 0.4054604242690674f, 0.4055042435271067f, 0.4055480618533192f,
  0.4055918792476039f, 0.4056356957098602f, 0.4056795112399875f, 0.4057233258378850f,
  0.4057671395034521f, 0.4058109522365880f, 0.4058547640371922f, 0.4058985749051640f,
  0.4059423848404025f, 0.4059861938428073f, 0.4060300019122775f, 0.4060738090487125f,
  0.4061176152520118f, 0.4061614205220746f, 0.4062052248588003f, 0.4062490282620880f,
  0.4062928307318374f, 0.4063366322679476f, 0.4063804328703181f, 0.4064242325388481f,
  0.4064680312734370f, 0.4065118290739842f, 0.4065556259403890f, 0.4065994218725508f,
  0.4066432168703690f, 0.4066870109337429f, 0.4067308040625718f, 0.4067745962567552f,
  0.4068183875161923f, 0.4068621778407827f, 0.4069059672304256f, 0.4069497556850205f,
  0.4069935432044665f, 0.4070373297886633f, 0.4070811154375102f, 0.4071249001509064f,
  0.4071686839287516f, 0.4072124667709449f, 0.4072562486773857f, 0.4073000296479737f,
  0.4073438096826080f, 0.4073875887811881f, 0.4074313669436133f, 0.4074751441697831f,
  0.4075189204595969f, 0.4075626958129541f, 0.4076064702297542f, 0.4076502437098963f,
  0.4076940162532802f, 0.4077377878598050f, 0.4077815585293702f, 0.4078253282618754f,
  0.4078690970572198f, 0.4079128649153029f, 0.4079566318360242f, 0.4080003978192829f,
  0.4080441628649787f, 0.4080879269730108f, 0.4081316901432789f, 0.4081754523756821f,
  0.4082192136701201f, 0.4082629740264923f, 0.4083067334446980f, 0.4083504919246368f,
  0.4083942494662080f, 0.4084380060693112f, 0.4084817617338457f, 0.4085255164597111f,
  0.4085692702468068f, 0.4086130230950322f, 0.4086567750042868f, 0.4087005259744700f,
  0.4087442760054814f, 0.4087880250972203f, 0.4088317732495864f, 0.4088755204624789f,
  0.4089192667357974f, 0.4089630120694414f, 0.4090067564633104f, 0.4090504999173037f,
  0.4090942424313210f, 0.4091379840052616f, 0.4091817246390251f, 0.4092254643325109f,
  0.4092692030856186f, 0.4093129408982477f, 0.4093566777702975f, 0.4094004137016676f,
  0.4094441486922576f, 0.4094878827419669f, 0.4095316158506950f, 0.4095753480183414f,
  0.4096190792448057f, 0.4096628095299873f, 0.4097065388737857f, 0.4097502672761005f,
  0.4097939947368311f, 0.4098377212558773f, 0.4098814468331382f, 0.4099251714685135f,
  0.4099688951619029f, 0.4100126179132056f, 0.4100563397223215f, 0.4101000605891498f,
  0.4101437805135902f, 0.4101874994955423f, 0.4102312175349054f, 0.4102749346315792f,
  0.4103186507854633f, 0.4103623659964570f, 0.4104060802644601f, 0.4104497935893721f,
  0.4104935059710924f, 0.4105372174095206f, 0.4105809279045565f, 0.4106246374560993f,
  0.4106683460640487f, 0.4107120537283044f, 0.4107557604487657f, 0.4107994662253324f,
  0.4108431710579039f, 0.4108868749463799f, 0.4109305778906599f, 0.4109742798906434f,
  0.4110179809462302f, 0.4110616810573196f, 0.4111053802238114f, 0.4111490784456051f,
  0.4111927757226002f, 0.4112364720546964f, 0.4112801674417932f, 0.4113238618837903f,
  0.4113675553805872f, 0.4114112479320836f, 0.4114549395381790f, 0.4114986301987730f,
  0.4115423199137653f, 0.4115860086830553f, 0.4116296965065428f, 0.4116733833841273f,
  0.4117170693157086f, 0.4117607543011860f, 0.4118044383404594f, 0.4118481214334282f,
  0.4118918035799922f, 0.4119354847800508f, 0.4119791650335039f, 0.4120228443402509f,
  0.4120665227001916f, 0.4121102001132255f, 0.4121538765792522f, 0.4121975520981715f,
  0.4122412266698829f, 0.4122849002942861f, 0.4123285729712807f, 0.4123722447007663f,
  0.4124159154826427f, 0.4124595853168094f, 0.4125032542031662f, 0.4125469221416125f,
  0.4125905891320482f, 0.4126342551743729f, 0.4126779202684862f, 0.4127215844142878f,
  0.4127652476116773f, 0.4128089098605544f, 0.4128525711608187f, 0.4128962315123701f,
  0.4129398909151081f, 0.4129835493689323f, 0.4130272068737425f, 0.4130708634294383f,
  0.4131145190359194f, 0.4131581736930856f, 0.4132018274008364f, 0.4132454801590717f,
  0.4132891319676910f, 0.4133327828265939f, 0.4133764327356804f, 0.4134200816948500f,
  0.4134637297040025f, 0.4135073767630374f, 0.4135510228718546f, 0.4135946680303538f,
  0.4136383122384345f, 0.4136819554959967f, 0.4137255978029399f, 0.4137692391591638f,
  0.4138128795645683f, 0.4138565190190530f, 0.4139001575225176f, 0.4139437950748618f,
  0.4139874316759855f, 0.4140310673257881f, 0.4140747020241696f, 0.4141183357710297f,
  0.4141619685662681f, 0.4142056004097845f, 0.4142492313014786f, 0.4142928612412503f,
  0.4143364902289991f, 0.4143801182646250f, 0.4144237453480275f, 0.4144673714791066f,
  0.4145109966577618f, 0.4145546208838930f, 0.4145982441573999f, 0.4146418664781824f,
  0.4146854878461400f, 0.4147291082611727f, 0.4147727277231801f, 0.4148163462320620f,
  0.4148599637877183f, 0.4149035803900486f, 0.4149471960389527f, 0.4149908107343305f,
  0.4150344244760816f, 0.4150780372641059f, 0.4151216490983031f, 0.4151652599785731f,
  0.4152088699048156f, 0.4152524788769303f, 0.4152960868948172f, 0.4153396939583759f,
  0.4153833000675063f, 0.4154269052221081f, 0.4154705094220812f, 0.4155141126673254f,
  0.4155577149577404f, 0.4156013162932262f, 0.4156449166736823f, 0.4156885160990088f,
  0.4157321145691054f, 0.4157757120838718f, 0.4158193086432080f, 0.4158629042470137f,
  0.4159064988951888f, 0.4159500925876330f, 0.4159936853242463f, 0.4160372771049284f,
  0.4160808679295792f, 0.4161244577980985f, 0.4161680467103860f, 0.4162116346663418f,
  0.4162552216658655f, 0.4162988077088570f, 0.4163423927952163f, 0.4163859769248430f,
  0.4164295600976372f, 0.4164731423134985f, 0.4165167235723269f, 0.4165603038740223f,
  0.4166038832184843f, 0.4166474616056131f, 0.4166910390353083f, 0.4167346155074698f,
  0.4167781910219976f, 0.4168217655787915f, 0.4168653391777513f, 0.4169089118187769f,
  0.4169524835017682f, 0.4169960542266251f, 0.4170396239932474f, 0.4170831928015351f,
  0.4171267606513879f, 0.4171703275427058f, 0.4172138934753887f, 0.4172574584493364f,
  0.4173010224644489f, 0.4173445855206261f, 0.4173881476177677f, 0.4174317087557739f,
  0.4174752689345443f, 0.4175188281539790f, 0.4175623864139778f, 0.4176059437144406f,
  0.4176495000552674f, 0.4176930554363580f, 0.4177366098576125f, 0.4177801633189306f,
  0.4178237158202123f, 0.4178672673613575f, 0.4179108179422662f, 0.4179543675628383f,
  0.4179979162229736f, 0.4180414639225721f, 0.4180850106615338f, 0.4181285564397585f,
  0.4181721012571463f, 0.4182156451135970f, 0.4182591880090106f, 0.4183027299432870f,
  0.4183462709163263f, 0.4183898109280282f, 0.4184333499782927f, 0.4184768880670200f,
  0.4185204251941097f, 0.4185639613594620f, 0.4186074965629767f, 0.4186510308045540f,
  0.4186945640840936f, 0.4187380964014955f, 0.4187816277566598f, 0.4188251581494863f,
  0.4188686875798751f, 0.4189122160477262f, 0.4189557435529394f, 0.4189992700954148f,
  0.4190427956750524f, 0.4190863202917521f, 0.4191298439454140f, 0.4191733666359379f,
  0.4192168883632240f, 0.4192604091271721f, 0.4193039289276823f, 0.4193474477646545f,
  0.4193909656379889f, 0.4194344825475853f, 0.4194779984933438f, 0.4195215134751643f,
  0.4195650274929469f, 0.4196085405465916f, 0.4196520526359984f, 0.4196955637610672f,
  0.4197390739216982f, 0.4197825831177913f, 0.4198260913492466f, 0.4198695986159640f,
  0.4199131049178436f, 0.4199566102547855f, 0.4200001146266896f, 0.4200436180334559f,
  0.4200871204749845f, 0.4201306219511755f, 0.4201741224619289f, 0.4202176220071447f,
  0.4202611205867229f, 0.4203046182005636f, 0.4203481148485669f, 0.4203916105306327f,
  0.4204351052466612f, 0.4204785989965523f, 0.4205220917802063f, 0.4205655835975229f,
  0.4206090744484025f, 0.4206525643327450f, 0.4206960532504505f, 0.4207395412014189f,
  0.4207830281855505f, 0.4208265142027453f, 0.4208699992529033f, 0.4209134833359247f,
  0.4209569664517094f, 0.4210004486001576f, 0.4210439297811694f, 0.4210874099946449f,
  0.4211308892404840f, 0.4211743675185870f, 0.4212178448288538f, 0.4212613211711847f,
  0.4213047965454796f, 0.4213482709516388f, 0.4213917443895622f, 0.4214352168591500f,
  0.4214786883603023f, 0.4215221588929191f, 0.4215656284569007f, 0.4216090970521471f,
  0.4216525646785583f, 0.4216960313360347f, 0.4217394970244761f, 0.4217829617437828f,
  0.4218264254938549f, 0.4218698882745925f, 0.4219133500858958f, 0.4219568109276648f,
  0.4220002707997997f, 0.4220437297022006f, 0.4220871876347677f, 0.4221306445974010f,
  0.4221741005900008f, 0.4222175556124672f, 0.4222610096647002f, 0.4223044627466002f,
  0.4223479148580671f, 0.4223913659990011f, 0.4224348161693025f, 0.4224782653688713f,
  0.4225217135976078f, 0.4225651608554121f, 0.4226086071421842f, 0.4226520524578244f,
  0.4226954968022330f, 0.4227389401753099f, 0.4227823825769554f, 0.4228258240070698f,
  0.4228692644655531f, 0.4229127039523054f, 0.4229561424672271f, 0.4229995800102183f,
  0.4230430165811791f, 0.4230864521800097f, 0.4231298868066104f, 0.4231733204608814f,
  0.4232167531427226f, 0.4232601848520346f, 0.4233036155887173f, 0.4233470453526710f,
  0.4233904741437960f, 0.4234339019619924f, 0.4234773288071604f, 0.4235207546792001f,
  0.4235641795780120f, 0.4236076035034961f, 0.4236510264555525f, 0.4236944484340818f,
  0.4237378694389838f, 0.4237812894701591f, 0.4238247085275076f, 0.4238681266109297f,
  0.4239115437203256f, 0.4239549598555954f, 0.4239983750166396f, 0.4240417892033582f,
  0.4240852024156516f, 0.4241286146534199f, 0.4241720259165634f, 0.4242154362049824f,
  0.4242588455185770f, 0.4243022538572475f, 0.4243456612208943f, 0.4243890676094175f,
  0.4244324730227174f, 0.4244758774606943f, 0.4245192809232484f, 0.4245626834102799f,
  0.4246060849216891f, 0.4246494854573764f, 0.4246928850172419f, 0.4247362836011860f,
  0.4247796812091088f, 0.4248230778409108f, 0.4248664734964921f, 0.4249098681757530f,
  0.4249532618785939f, 0.4249966546049150f, 0.4250400463546166f, 0.4250834371275989f,
  0.4251268269237624f, 0.4251702157430072f, 0.4252136035852336f, 0.4252569904503420f,
  0.4253003763382326f, 0.4253437612488059f, 0.4253871451819619f, 0.4254305281376011f,
  0.4254739101156239f, 0.4255172911159303f, 0.4255606711384209f, 0.4256040501829959f,
  0.4256474282495556f, 0.4256908053380004f, 0.4257341814482305f, 0.4257775565801463f,
  0.4258209307336482f, 0.4258643039086364f, 0.4259076761050113f, 0.4259510473226732f,
  0.4259944175615224f, 0.4260377868214594f, 0.4260811551023843f, 0.4261245224041976f,
  0.4261678887267996f, 0.4262112540700907f, 0.4262546184339712f, 0.4262979818183414f,
  0.4263413442231018f, 0.4263847056481527f, 0.4264280660933943f, 0.4264714255587271f,
  0.4265147840440515f, 0.4265581415492679f, 0.4266014980742764f, 0.4266448536189776f,
  0.4266882081832719f, 0.4267315617670595f, 0.4267749143702409f, 0.4268182659927164f,
  0.4268616166343865f, 0.4269049662951515f, 0.4269483149749117f, 0.4269916626735677f,
  0.4270350093910197f, 0.4270783551271682f, 0.4271216998819135f, 0.4271650436551561f,
  0.4272083864467963f, 0.4272517282567346f, 0.4272950690848714f, 0.4273384089311069f,
  0.4273817477953418f, 0.4274250856774763f, 0.4274684225774109f, 0.4275117584950461f,
  0.4275550934302821f, 0.4275984273830195f, 0.4276417603531586f, 0.4276850923405999f,
  0.4277284233452438f, 0.4277717533669907f, 0.4278150824057412f, 0.4278584104613955f,
  0.4279017375338541f, 0.4279450636230175f, 0.4279883887287861f, 0.4280317128510604f,
  0.4280750359897407f, 0.4281183581447276f, 0.4281616793159215f, 0.4282049995032228f,
  0.4282483187065320f, 0.4282916369257495f, 0.4283349541607758f, 0.4283782704115114f,
  0.4284215856778567f, 0.4284648999597122f, 0.4285082132569783f, 0.4285515255695556f,
  0.4285948368973444f, 0.4286381472402453f, 0.4286814565981588f, 0.4287247649709852f,
  0.4287680723586251f, 0.4288113787609790f, 0.4288546841779474f, 0.4288979886094307f,
  0.4289412920553295f, 0.4289845945155442f, 0.4290278959899753f, 0.4290711964785233f,
  0.4291144959810888f, 0.4291577944975721f, 0.4292010920278739f, 0.4292443885718945f,
  0.4292876841295347f, 0.4293309787006946f, 0.4293742722852751f, 0.4294175648831766f,
  0.4294608564942995f, 0.4295041471185445f, 0.4295474367558119f, 0.4295907254060023f,
  0.4296340130690164f, 0.4296772997447545f, 0.4297205854331173f, 0.4297638701340051f,
  0.4298071538473187f, 0.4298504365729585f, 0.4298937183108251f, 0.4299369990608189f,
  0.4299802788228406f, 0.4300235575967908f, 0.4300668353825698f, 0.4301101121800783f,
  0.4301533879892169f, 0.4301966628098860f, 0.4302399366419863f, 0.4302832094854183f,
  0.4303264813400826f, 0.4303697522058798f, 0.4304130220827103f, 0.4304562909704748f,
  0.4304995588690738f, 0.4305428257784079f, 0.4305860916983778f, 0.4306293566288839f,
  0.4306726205698269f, 0.4307158835211072f, 0.4307591454826256f, 0.4308024064542825f,
  0.4308456664359787f, 0.4308889254276146f, 0.4309321834290910f, 0.4309754404403082f,
  0.4310186964611670f, 0.4310619514915680f, 0.4311052055314118f, 0.4311484585805989f,
  0.4311917106390300f, 0.4312349617066057f, 0.4312782117832266f, 0.4313214608687932f,
  0.4313647089632063f, 0.4314079560663666f, 0.4314512021781743f, 0.4314944472985304f,
  0.4315376914273355f, 0.4315809345644900f, 0.4316241767098948f, 0.4316674178634503f,
  0.4317106580250573f, 0.4317538971946163f, 0.4317971353720280f, 0.4318403725571932f,
  0.4318836087500122f, 0.4319268439503860f, 0.4319700781582150f, 0.4320133113733999f,
  0.4320565435958415f, 0.4320997748254403f, 0.4321430050620970f, 0.4321862343057122f,
  0.4322294625561867f, 0.4322726898134211f, 0.4323159160773160f, 0.4323591413477721f,
  0.4324023656246901f, 0.4324455889079707f, 0.4324888111975146f, 0.4325320324932223f,
  0.4325752527949947f, 0.4326184721027323f, 0.4326616904163359f, 0.4327049077357061f,
  0.4327481240607437f, 0.4327913393913493f, 0.4328345537274236f, 0.4328777670688674f,
  0.4329209794155813f, 0.4329641907674660f, 0.4330074011244222f, 0.4330506104863506f,
  0.4330938188531520f, 0.4331370262247270f, 0.4331802326009763f, 0.4332234379818007f,
  0.4332666423671009f, 0.4333098457567777f, 0.4333530481507316f, 0.4333962495488635f,
  0.4334394499510741f, 0.4334826493572640f, 0.4335258477673341f, 0.4335690451811851f,
  0.4336122415987176f, 0.4336554370198325f, 0.4336986314444304f, 0.4337418248724123f,
  0.4337850173036785f, 0.4338282087381302f, 0.4338713991756679f, 0.4339145886161924f,
  0.4339577770596044f, 0.4340009645058048f, 0.4340441509546942f, 0.4340873364061735f,
  0.4341305208601433f, 0.4341737043165045f, 0.4342168867751579f, 0.4342600682360041f,
  0.4343032486989440f, 0.4343464281638783f, 0.4343896066307079f, 0.4344327840993334f,
  0.4344759605696557f, 0.4345191360415755f, 0.4345623105149937f, 0.4346054839898111f,
  0.4346486564659283f, 0.4346918279432463f, 0.4347349984216657f, 0.4347781679010875f,
  0.4348213363814123f, 0.4348645038625411f, 0.4349076703443745f, 0.4349508358268135f,
  0.4349940003097588f, 0.4350371637931111f, 0.4350803262767715f, 0.4351234877606406f,
  0.4351666482446193f, 0.4352098077286083f, 0.4352529662125086f, 0.4352961236962209f,
  0.4353392801796461f, 0.4353824356626849f, 0.4354255901452384f, 0.4354687436272071f,
  0.4355118961084920f, 0.4355550475889940f, 0.4355981980686138f, 0.4356413475472524f,
  0.4356844960248105f, 0.4357276435011890f, 0.4357707899762888f, 0.4358139354500106f,
  0.4358570799222555f, 0.4359002233929241f, 0.4359433658619175f, 0.4359865073291364f,
  0.4360296477944816f, 0.4360727872578541f, 0.4361159257191548f, 0.4361590631782845f,
  0.4362021996351440f, 0.4362453350896343f, 0.4362884695416562f, 0.4363316029911106f,
  0.4363747354378984f, 0.4364178668819205f, 0.4364609973230777f, 0.4365041267612710f,
  0.4365472551964012f, 0.4365903826283692f, 0.4366335090570760f, 0.4366766344824224f,
  0.4367197589043094f, 0.4367628823226377f, 0.4368060047373084f, 0.4368491261482223f,
  0.4368922465552804f, 0.4369353659583835f, 0.4369784843574326f, 0.4370216017523286f,
  0.4370647181429724f, 0.4371078335292649f, 0.4371509479111071f, 0.4371940612883998f,
  0.4372371736610441f, 0.4372802850289408f, 0.4373233953919908f, 0.4373665047500952f,
  0.4374096131031548f, 0.4374527204510706f, 0.4374958267937435f, 0.4375389321310745f,
  0.4375820364629644f, 0.4376251397893144f, 0.4376682421100252f, 0.4377113434249979f,
  0.4377544437341334f, 0.4377975430373327f, 0.4378406413344968f, 0.4378837386255265f,
  0.4379268349103229f, 0.4379699301887869f, 0.4380130244608195f, 0.4380561177263217f,
  0.4380992099851945f, 0.4381423012373387f, 0.4381853914826555f, 0.4382284807210458f,
  0.4382715689524105f, 0.4383146561766506f, 0.4383577423936672f, 0.4384008276033612f,
  0.4384439118056337f, 0.4384869950003856f, 0.4385300771875179f, 0.4385731583669316f,
  0.4386162385385277f, 0.4386593177022071f, 0.4387023958578711f, 0.4387454730054204f,
  0.4387885491447563f, 0.4388316242757796f, 0.4388746983983913f, 0.4389177715124926f,
  0.4389608436179843f, 0.4390039147147676f, 0.4390469848027435f, 0.4390900538818129f,
  0.4391331219518769f, 0.4391761890128366f, 0.4392192550645930f, 0.4392623201070471f,
  0.4393053841401000f, 0.4393484471636526f, 0.4393915091776061f, 0.4394345701818615f,
  0.4394776301763198f, 0.4395206891608821f, 0.4395637471354494f, 0.4396068040999229f,
  0.4396498600542035f, 0.4396929149981922f, 0.4397359689317903f, 0.4397790218548987f,
  0.4398220737674185f, 0.4398651246692508f, 0.4399081745602966f, 0.4399512234404571f,
  0.4399942713096333f, 0.4400373181677261f, 0.4400803640146369f, 0.4401234088502666f,
  0.4401664526745164f, 0.4402094954872872f, 0.4402525372884802f, 0.4402955780779965f,
  0.4403386178557372f, 0.4403816566216034f, 0.4404246943754962f, 0.4404677311173167f,
  0.4405107668469659f, 0.4405538015643450f, 0.4405968352693552f, 0.4406398679618974f,
  0.4406828996418730f, 0.4407259303091827f, 0.4407689599637280f, 0.4408119886054099f,
  0.4408550162341294f, 0.4408980428497878f, 0.4409410684522861f, 0.4409840930415256f,
  0.4410271166174072f, 0.4410701391798322f, 0.4411131607287017f, 0.4411561812639168f,
  0.4411992007853787f, 0.4412422192929885f, 0.4412852367866473f, 0.4413282532662563f,
  0.4413712687317167f, 0.4414142831829296f, 0.4414572966197962f, 0.4415003090422175f,
  0.4415433204500949f, 0.4415863308433293f, 0.4416293402218222f, 0.4416723485854744f,
  0.4417153559341873f, 0.4417583622678621f, 0.4418013675863998f, 0.4418443718897017f,
  0.4418873751776689f, 0.4419303774502025f, 0.4419733787072040f, 0.4420163789485743f,
  0.4420593781742148f, 0.4421023763840264f, 0.4421453735779105f, 0.4421883697557684f,
  0.4422313649175010f, 0.4422743590630097f, 0.4423173521921956f, 0.4423603443049600f,
  0.4424033354012041f, 0.4424463254808290f, 0.4424893145437360f, 0.4425323025898263f,
  0.4425752896190012f, 0.4426182756311617f, 0.4426612606262093f, 0.4427042446040449f,
  0.4427472275645700f, 0.4427902095076858f, 0.4428331904332933f, 0.4428761703412940f,
  0.4429191492315890f, 0.4429621271040795f, 0.4430051039586668f, 0.4430480797952522f,
  0.4430910546137369f, 0.4431340284140221f, 0.4431770011960091f, 0.4432199729595991f,
  0.4432629437046933f, 0.4433059134311932f, 0.4433488821389998f, 0.4433918498280144f,
  0.4434348164981385f, 0.4434777821492730f, 0.4435207467813195f, 0.4435637103941791f,
  0.4436066729877530f, 0.4436496345619426f, 0.4436925951166492f, 0.4437355546517740f,
  0.4437785131672182f, 0.4438214706628833f, 0.4438644271386705f, 0.4439073825944810f,
  0.4439503370302162f, 0.4439932904457772f, 0.4440362428410656f, 0.4440791942159825f,
  0.4441221445704292f, 0.4441650939043071f, 0.4442080422175174f, 0.4442509895099615f,
  0.4442939357815406f, 0.4443368810321561f, 0.4443798252617093f, 0.4444227684701015f,
  0.4444657106572341f, 0.4445086518230082f, 0.4445515919673253f, 0.4445945310900868f,
  0.4446374691911938f, 0.4446804062705478f, 0.4447233423280501f, 0.4447662773636020f,
  0.4448092113771049f, 0.4448521443684600f, 0.4448950763375689f, 0.4449380072843326f,
  0.4449809372086527f, 0.4450238661104306f, 0.4450667939895674f, 0.4451097208459647f,
  0.4451526466795236f, 0.4451955714901457f, 0.4452384952777322f, 0.4452814180421846f,
  0.4453243397834042f, 0.4453672605012923f, 0.4454101801957503f, 0.4454530988666797f,
  0.4454960165139817f, 0.4455389331375578f, 0.4455818487373094f, 0.4456247633131377f,
  0.4456676768649443f, 0.4457105893926304f, 0.4457535008960976f, 0.4457964113752470f,
  0.4458393208299803f, 0.4458822292601987f, 0.4459251366658037f, 0.4459680430466967f,
  0.4460109484027789f, 0.4460538527339521f, 0.4460967560401173f, 0.4461396583211762f,
  0.4461825595770301f, 0.4462254598075803f, 0.4462683590127284f, 0.4463112571923758f,
  0.4463541543464238f, 0.4463970504747740f, 0.4464399455773276f, 0.4464828396539863f,
  0.4465257327046513f, 0.4465686247292242f, 0.4466115157276063f, 0.4466544056996991f,
  0.4466972946454041f, 0.4467401825646226f, 0.4467830694572562f, 0.4468259553232062f,
  0.4468688401623742f, 0.4469117239746616f, 0.4469546067599697f, 0.4469974885182003f,
  0.4470403692492545f, 0.4470832489530340f, 0.4471261276294401f, 0.4471690052783744f,
  0.4472118818997383f, 0.4472547574934333f, 0.4472976320593609f, 0.4473405055974225f,
  0.4473833781075196f, 0.4474262495895537f, 0.4474691200434263f, 0.4475119894690390f,
  0.4475548578662930f, 0.4475977252350899f, 0.4476405915753314f, 0.4476834568869188f,
  0.4477263211697536f, 0.4477691844237374f, 0.4478120466487716f, 0.4478549078447577f,
  0.4478977680115973f, 0.4479406271491919f, 0.4479834852574429f, 0.4480263423362519f,
  0.4480691983855204f, 0.4481120534051499f, 0.4481549073950420f, 0.4481977603550982f,
  0.4482406122852199f, 0.4482834631853088f, 0.4483263130552663f, 0.4483691618949940f,
  0.4484120097043934f, 0.4484548564833661f, 0.4484977022318136f, 0.4485405469496375f,
  0.4485833906367392f, 0.4486262332930204f, 0.4486690749183825f, 0.4487119155127272f,
  0.4487547550759560f, 0.4487975936079704f, 0.4488404311086721f, 0.4488832675779625f,
  0.4489261030157433f, 0.4489689374219160f, 0.4490117707963821f, 0.4490546031390432f,
  0.4490974344498010f, 0.4491402647285570f, 0.4491830939752128f, 0.4492259221896699f,
  0.4492687493718299f, 0.4493115755215945f, 0.4493544006388651f, 0.4493972247235435f,
  0.4494400477755311f, 0.4494828697947297f, 0.4495256907810407f, 0.4495685107343658f,
  0.4496113296546066f, 0.4496541475416647f, 0.4496969643954417f, 0.4497397802158391f,
  0.4497825950027587f, 0.4498254087561021f, 0.4498682214757707f, 0.4499110331616663f,
  0.4499538438136905f, 0.4499966534317449f, 0.4500394620157312f, 0.4500822695655509f,
  0.4501250760811057f, 0.4501678815622973f, 0.4502106860090272f, 0.4502534894211971f,
  0.4502962917987086f, 0.4503390931414635f, 0.4503818934493632f, 0.4504246927223095f,
  0.4504674909602041f, 0.4505102881629485f, 0.4505530843304445f, 0.4505958794625936f,
  0.4506386735592977f, 0.4506814666204581f, 0.4507242586459768f, 0.4507670496357553f,
  0.4508098395896953f, 0.4508526285076985f, 0.4508954163896665f, 0.4509382032355011f,
  0.4509809890451039f, 0.4510237738183765f, 0.4510665575552207f, 0.4511093402555382f,
  0.4511521219192306f, 0.4511949025461996f, 0.4512376821363470f, 0.4512804606895744f,
  0.4513232382057835f, 0.4513660146848760f, 0.4514087901267537f, 0.4514515645313181f,
  0.4514943378984711f, 0.4515371102281143f, 0.4515798815201495f, 0.4516226517744783f,
  0.4516654209910025f, 0.4517081891696238f, 0.4517509563102439f, 0.4517937224127646f,
  0.4518364874770875f, 0.4518792515031144f, 0.4519220144907471f, 0.4519647764398871f,
  0.4520075373504365f, 0.4520502972222967f, 0.4520930560553696f, 0.4521358138495569f,
  0.4521785706047604f, 0.4522213263208818f, 0.4522640809978228f, 0.4523068346354852f,
  0.4523495872337709f, 0.4523923387925814f, 0.4524350893118186f, 0.4524778387913843f,
  0.4525205872311801f, 0.4525633346311079f, 0.4526060809910695f, 0.4526488263109666f,
  0.4526915705907009f, 0.4527343138301744f, 0.4527770560292886f, 0.4528197971879455f,
  0.4528625373060468f, 0.4529052763834942f, 0.4529480144201897f, 0.4529907514160348f,
  0.4530334873709316f, 0.4530762222847817f, 0.4531189561574870f, 0.4531616889889492f,
  0.4532044207790702f, 0.4532471515277517f, 0.4532898812348956f, 0.4533326099004036f,
  0.4533753375241777f, 0.4534180641061196f, 0.4534607896461311f, 0.4535035141441139f,
  0.4535462375999701f, 0.4535889600136014f, 0.4536316813849095f, 0.4536744017137964f,
  0.4537171210001639f, 0.4537598392439137f, 0.4538025564449478f, 0.4538452726031680f,
  0.4538879877184761f, 0.4539307017907739f, 0.4539734148199633f, 0.4540161268059462f,
  0.4540588377486244f, 0.4541015476478998f, 0.4541442565036741f, 0.4541869643158493f,
  0.4542296710843273f, 0.4542723768090098f, 0.4543150814897988f, 0.4543577851265961f,
  0.4544004877193036f, 0.4544431892678232f, 0.4544858897720566f, 0.4545285892319060f,
  0.4545712876472729f, 0.4546139850180596f, 0.4546566813441675f, 0.4546993766254989f,
  0.4547420708619554f, 0.4547847640534392f, 0.4548274561998519f, 0.4548701473010955f,
  0.4549128373570719f, 0.4549555263676831f, 0.4549982143328308f, 0.4550409012524171f,
  0.4550835871263438f, 0.4551262719545128f, 0.4551689557368261f, 0.4552116384731856f,
  0.4552543201634931f, 0.4552970008076506f, 0.4553396804055601f, 0.4553823589571233f,
  0.4554250364622424f, 0.4554677129208192f, 0.4555103883327555f, 0.4555530626979535f,
  0.4555957360163150f, 0.4556384082877418f, 0.4556810795121362f, 0.4557237496893998f,
  0.4557664188194347f, 0.4558090869021428f, 0.4558517539374261f, 0.4558944199251865f,
  0.4559370848653260f, 0.4559797487577466f, 0.4560224116023501f, 0.4560650733990386f,
  0.4561077341477141f, 0.4561503938482784f, 0.4561930525006337f, 0.4562357101046817f,
  0.4562783666603247f, 0.4563210221674643f, 0.4563636766260027f, 0.4564063300358420f,
  0.4564489823968839f, 0.4564916337090306f, 0.4565342839721840f, 0.4565769331862461f,
  0.4566195813511189f, 0.4566622284667045f, 0.4567048745329047f, 0.4567475195496216f,
  0.4567901635167572f, 0.4568328064342135f, 0.4568754483018926f, 0.4569180891196964f,
  0.4569607288875270f, 0.4570033676052863f, 0.4570460052728764f, 0.4570886418901992f,
  0.4571312774571570f, 0.4571739119736515f, 0.4572165454395850f, 0.4572591778548594f,
  0.4573018092193766f, 0.4573444395330389f, 0.4573870687957483f, 0.4574296970074066f,
  0.4574723241679161f, 0.4575149502771786f, 0.4575575753350964f, 0.4576001993415715f,
  0.4576428222965058f, 0.4576854441998015f, 0.4577280650513605f, 0.4577706848510851f,
  0.4578133035988772f, 0.4578559212946389f, 0.4578985379382722f, 0.4579411535296792f,
  0.4579837680687621f, 0.4580263815554229f, 0.4580689939895636f, 0.4581116053710863f,
  0.4581542156998931f, 0.4581968249758862f, 0.4582394331989674f, 0.4582820403690391f,
  0.4583246464860032f, 0.4583672515497619f, 0.4584098555602172f, 0.4584524585172713f,
  0.4584950604208263f, 0.4585376612707842f, 0.4585802610670471f, 0.4586228598095172f,
  0.4586654574980966f, 0.4587080541326873f, 0.4587506497131916f, 0.4587932442395115f,
  0.4588358377115491f, 0.4588784301292066f, 0.4589210214923861f, 0.4589636118009897f,
  0.4590062010549196f, 0.4590487892540778f, 0.4590913763983666f, 0.4591339624876880f,
  0.4591765475219441f, 0.4592191315010373f, 0.4592617144248694f, 0.4593042962933429f,
  0.4593468771063596f, 0.4593894568638219f, 0.4594320355656319f, 0.4594746132116917f,
  0.4595171898019035f, 0.4595597653361694f, 0.4596023398143917f, 0.4596449132364725f,
  0.4596874856023139f, 0.4597300569118182f, 0.4597726271648874f, 0.4598151963614238f,
  0.4598577645013295f, 0.4599003315845068f, 0.4599428976108578f, 0.4599854625802847f,
  0.4600280264926897f, 0.4600705893479749f, 0.4601131511460426f, 0.4601557118867950f,
  0.4601982715701343f, 0.4602408301959627f, 0.4602833877641822f, 0.4603259442746953f,
  0.4603684997274040f, 0.4604110541222107f, 0.4604536074590174f, 0.4604961597377265f,
  0.4605387109582400f, 0.4605812611204604f, 0.4606238102242897f, 0.4606663582696302f,
  0.4607089052563841f, 0.4607514511844537f, 0.4607939960537412f, 0.4608365398641487f,
  0.4608790826155787f, 0.4609216243079333f, 0.4609641649411146f, 0.4610067045150251f,
  0.4610492430295669f, 0.4610917804846423f, 0.4611343168801535f, 0.4611768522160028f,
  0.4612193864920924f, 0.4612619197083246f, 0.4613044518646017f, 0.4613469829608259f,
  0.4613895129968995f, 0.4614320419727247f, 0.4614745698882038f, 0.4615170967432393f,
  0.4615596225377331f, 0.4616021472715877f, 0.4616446709447053f, 0.4616871935569882f,
  0.4617297151083388f, 0.4617722355986592f, 0.4618147550278519f, 0.4618572733958189f,
  0.4618997907024628f, 0.4619423069476857f, 0.4619848221313899f, 0.4620273362534779f,
  0.4620698493138518f, 0.4621123613124140f, 0.4621548722490668f, 0.4621973821237124f,
  0.4622398909362533f, 0.4622823986865918f, 0.4623249053746301f, 0.4623674110002705f,
  0.4624099155634154f, 0.4624524190639672f, 0.4624949215018281f, 0.4625374228769006f,
  0.4625799231890868f, 0.4626224224382892f, 0.4626649206244101f, 0.4627074177473518f,
  0.4627499138070167f, 0.4627924088033071f, 0.4628349027361255f, 0.4628773956053740f,
  0.4629198874109551f, 0.4629623781527712f, 0.4630048678307245f, 0.4630473564447176f,
  0.4630898439946525f, 0.4631323304804320f, 0.4631748159019581f, 0.4632173002591334f,
  0.4632597835518602f, 0.4633022657800409f, 0.4633447469435777f, 0.4633872270423733f,
  0.4634297060763298f, 0.4634721840453498f, 0.4635146609493356f, 0.4635571367881895f,
  0.4635996115618140f, 0.4636420852701115f, 0.4636845579129843f, 0.4637270294903349f,
  0.4637695000020657f, 0.4638119694480790f, 0.4638544378282773f, 0.4638969051425630f,
  0.4639393713908385f, 0.4639818365730063f, 0.4640243006889686f, 0.4640667637386280f,
  0.4641092257218870f, 0.4641516866386477f, 0.4641941464888129f, 0.4642366052722847f,
  0.4642790629889658f, 0.4643215196387585f, 0.4643639752215652f, 0.4644064297372885f,
  0.4644488831858307f, 0.4644913355670943f, 0.4645337868809817f, 0.4645762371273954f,
  0.4646186863062378f, 0.4646611344174114f, 0.4647035814608187f, 0.4647460274363621f,
  0.4647884723439440f, 0.4648309161834670f, 0.4648733589548334f, 0.4649158006579459f,
  0.4649582412927067f, 0.4650006808590185f, 0.4650431193567836f, 0.4650855567859046f,
  0.4651279931462840f, 0.4651704284378242f, 0.4652128626604277f, 0.4652552958139970f,
  0.4652977278984346f, 0.4653401589136430f, 0.4653825888595247f, 0.4654250177359820f,
  0.4654674455429178f, 0.4655098722802343f, 0.4655522979478341f, 0.4655947225456197f,
  0.4656371460734937f, 0.4656795685313584f, 0.4657219899191165f, 0.4657644102366704f,
  0.4658068294839227f, 0.4658492476607759f, 0.4658916647671325f, 0.4659340808028951f,
  0.4659764957679662f, 0.4660189096622482f, 0.4660613224856439f, 0.4661037342380556f,
  0.4661461449193859f, 0.4661885545295374f, 0.4662309630684127f, 0.4662733705359142f,
  0.4663157769319444f, 0.4663581822564061f, 0.4664005865092017f, 0.4664429896902337f,
  0.4664853917994049f, 0.4665277928366175f, 0.4665701928017745f, 0.4666125916947780f,
  0.4666549895155309f, 0.4666973862639357f, 0.4667397819398949f, 0.4667821765433112f,
  0.4668245700740870f, 0.4668669625321250f, 0.4669093539173278f, 0.4669517442295980f,
  0.4669941334688381f, 0.4670365216349507f, 0.4670789087278384f, 0.4671212947474039f,
  0.4671636796935498f, 0.4672060635661786f, 0.4672484463651928f, 0.4672908280904953f,
  0.4673332087419884f, 0.4673755883195750f, 0.4674179668231575f, 0.4674603442526386f,
  0.4675027206079209f, 0.4675450958889071f, 0.4675874700954997f, 0.4676298432276014f,
  0.4676722152851148f, 0.4677145862679425f, 0.4677569561759872f, 0.4677993250091516f,
  0.4678416927673382f, 0.4678840594504496f, 0.4679264250583886f, 0.4679687895910578f,
  0.4680111530483598f, 0.4680535154301974f, 0.4680958767364730f, 0.4681382369670894f,
  0.4681805961219493f, 0.4682229542009553f, 0.4682653112040100f, 0.4683076671310162f,
  0.4683500219818765f, 0.4683923757564936f, 0.4684347284547702f, 0.4684770800766088f,
  0.4685194306219123f, 0.4685617800905833f, 0.4686041284825244f, 0.4686464757976384f,
  0.4686888220358279f, 0.4687311671969956f, 0.4687735112810444f, 0.4688158542878767f,
  0.4688581962173954f, 0.4689005370695030f, 0.4689428768441024f, 0.4689852155410962f,
  0.4690275531603871f, 0.4690698897018780f, 0.4691122251654713f, 0.4691545595510700f,
  0.4691968928585766f, 0.4692392250878940f, 0.4692815562389248f, 0.4693238863115717f,
  0.4693662153057375f, 0.4694085432213250f, 0.4694508700582368f, 0.4694931958163757f,
  0.4695355204956445f, 0.4695778440959458f, 0.4696201666171824f, 0.4696624880592570f,
  0.4697048084220725f, 0.4697471277055315f, 0.4697894459095369f, 0.4698317630339912f,
  0.4698740790787974f, 0.4699163940438582f, 0.4699587079290763f, 0.4700010207343545f,
  0.4700433324595956f, 0.4700856431047024f, 0.4701279526695775f, 0.4701702611541239f,
  0.4702125685582442f, 0.4702548748818412f, 0.4702971801248178f, 0.4703394842870767f,
  0.4703817873685207f, 0.4704240893690526f, 0.4704663902885751f, 0.4705086901269912f,
  0.4705509888842035f, 0.4705932865601149f, 0.4706355831546282f, 0.4706778786676462f,
  0.4707201730990717f, 0.4707624664488074f, 0.4708047587167562f, 0.4708470499028210f,
  0.4708893400069045f, 0.4709316290289097f, 0.4709739169687391f, 0.4710162038262958f,
  0.4710584896014825f, 0.4711007742942021f, 0.4711430579043574f, 0.4711853404318512f,
  0.4712276218765864f, 0.4712699022384658f, 0.4713121815173922f, 0.4713544597132686f,
  0.4713967368259976f, 0.4714390128554823f, 0.4714812878016254f, 0.4715235616643298f,
  0.4715658344434984f, 0.4716081061390340f, 0.4716503767508395f, 0.4716926462788176f,
  0.4717349147228714f, 0.4717771820829038f, 0.4718194483588174f, 0.4718617135505153f,
  0.4719039776579002f, 0.4719462406808752f, 0.4719885026193429f, 0.4720307634732064f,
  0.4720730232423687f, 0.4721152819267324f, 0.4721575395262005f, 0.4721997960406759f,
  0.4722420514700615f, 0.4722843058142602f, 0.4723265590731749f, 0.4723688112467087f,
  0.4724110623347640f, 0.4724533123372442f, 0.4724955612540521f, 0.4725378090850905f,
  0.4725800558302623f, 0.4726223014894705f, 0.4726645460626180f, 0.4727067895496079f,
  0.4727490319503428f, 0.4727912732647258f, 0.4728335134926598f, 0.4728757526340479f,
  0.4729179906887928f, 0.4729602276567975f, 0.4730024635379650f, 0.4730446983321982f,
  0.4730869320394001f, 0.4731291646594736f, 0.4731713961923216f, 0.4732136266378473f,
  0.4732558559959533f, 0.4732980842665429f, 0.4733403114495187f, 0.4733825375447839f,
  0.4734247625522415f, 0.4734669864717944f, 0.4735092093033456f, 0.4735514310467980f,
  0.4735936517020545f, 0.4736358712690184f, 0.4736780897475923f, 0.4737203071376795f,
  0.4737625234391828f, 0.4738047386520053f, 0.4738469527760499f, 0.4738891658112196f,
  0.4739313777574174f, 0.4739735886145464f, 0.4740157983825095f, 0.4740580070612097f,
  0.4741002146505500f, 0.4741424211504335f, 0.4741846265607632f, 0.4742268308814420f,
  0.4742690341123730f, 0.4743112362534592f, 0.4743534373046036f, 0.4743956372657093f,
  0.4744378361366793f, 0.4744800339174166f, 0.4745222306078242f, 0.4745644262078051f,
  0.4746066207172626f, 0.4746488141360994f, 0.4746910064642187f, 0.4747331977015237f,
  0.4747753878479171f, 0.4748175769033022f, 0.4748597648675820f, 0.4749019517406595f,
  0.4749441375224379f, 0.4749863222128201f, 0.4750285058117091f, 0.4750706883190082f,
  0.4751128697346203f, 0.4751550500584486f, 0.4751972292903960f, 0.4752394074303656f,
  0.4752815844782607f, 0.4753237604339842f, 0.4753659352974391f, 0.4754081090685287f,
  0.4754502817471559f, 0.4754924533332239f, 0.4755346238266357f, 0.4755767932272945f,
  0.4756189615351033f, 0.4756611287499653f, 0.4757032948717835f, 0.4757454599004611f,
  0.4757876238359011f, 0.4758297866780067f, 0.4758719484266810f, 0.4759141090818271f,
  0.4759562686433481f, 0.4759984271111471f, 0.4760405844851273f, 0.4760827407651917f,
  0.4761248959512436f, 0.4761670500431860f, 0.4762092030409221f, 0.4762513549443549f,
  0.4762935057533877f, 0.4763356554679236f, 0.4763778040878657f, 0.4764199516131172f,
  0.4764620980435812f, 0.4765042433791609f, 0.4765463876197593f, 0.4765885307652798f,
  0.4766306728156253f, 0.4766728137706992f, 0.4767149536304045f, 0.4767570923946444f,
  0.4767992300633221f, 0.4768413666363408f, 0.4768835021136035f, 0.4769256364950136f,
  0.4769677697804742f, 0.4770099019698884f, 0.4770520330631595f, 0.4770941630601905f,
  0.4771362919608848f, 0.4771784197651455f, 0.4772205464728758f, 0.4772626720839789f,
  0.4773047965983579f, 0.4773469200159162f, 0.4773890423365568f, 0.4774311635601831f,
  0.4774732836866981f, 0.4775154027160051f, 0.4775575206480074f, 0.4775996374826081f,
  0.4776417532197105f, 0.4776838678592177f, 0.4777259814010331f, 0.4777680938450597f,
  0.4778102051912010f, 0.4778523154393600f, 0.4778944245894400f, 0.4779365326413444f,
  0.4779786395949762f, 0.4780207454502386f, 0.4780628502070352f, 0.4781049538652689f,
  0.4781470564248431f, 0.4781891578856610f, 0.4782312582476258f, 0.4782733575106409f,
  0.4783154556746095f, 0.4783575527394349f, 0.4783996487050202f, 0.4784417435712688f,
  0.4784838373380840f, 0.4785259300053690f, 0.4785680215730270f, 0.4786101120409614f,
  0.4786522014090756f, 0.4786942896772726f, 0.4787363768454557f, 0.4787784629135284f,
  0.4788205478813939f, 0.4788626317489555f, 0.4789047145161164f, 0.4789467961827800f,
  0.4789888767488495f, 0.4790309562142283f, 0.4790730345788197f, 0.4791151118425269f,
  0.4791571880052533f, 0.4791992630669022f, 0.4792413370273769f, 0.4792834098865808f,
  0.4793254816444171f, 0.4793675523007891f, 0.4794096218556002f, 0.4794516903087538f,
  0.4794937576601530f, 0.4795358239097013f, 0.4795778890573021f, 0.4796199531028585f,
  0.4796620160462742f, 0.4797040778874522f, 0.4797461386262960f, 0.4797881982627088f,
  0.4798302567965942f, 0.4798723142278554f, 0.4799143705563956f, 0.4799564257821185f,
  0.4799984799049273f, 0.4800405329247253f, 0.4800825848414159f, 0.4801246356549024f,
  0.4801666853650884f, 0.4802087339718770f, 0.4802507814751718f, 0.4802928278748760f,
  0.4803348731708930f, 0.4803769173631263f, 0.4804189604514793f, 0.4804610024358553f,
  0.4805030433161575f, 0.4805450830922897f, 0.4805871217641550f, 0.4806291593316568f,
  0.4806711957946986f, 0.4807132311531839f, 0.4807552654070160f, 0.4807972985560981f,
  0.4808393306003340f, 0.4808813615396269f, 0.4809233913738800f, 0.4809654201029972f,
  0.4810074477268816f, 0.4810494742454366f, 0.4810914996585658f, 0.4811335239661726f,
  0.4811755471681604f, 0.4812175692644325f, 0.4812595902548925f, 0.4813016101394438f,
  0.4813436289179897f, 0.4813856465904339f, 0.4814276631566797f, 0.4814696786166305f,
  0.4815116929701899f, 0.4815537062172612f, 0.4815957183577480f, 0.4816377293915535f,
  0.4816797393185815f, 0.4817217481387353f, 0.4817637558519183f, 0.4818057624580340f,
  0.4818477679569860f, 0.4818897723486777f, 0.4819317756330125f, 0.4819737778098940f,
  0.4820157788792256f, 0.4820577788409107f, 0.4820997776948530f, 0.4821417754409559f,
  0.4821837720791227f, 0.4822257676092572f, 0.4822677620312628f, 0.4823097553450429f,
  0.4823517475505010f, 0.4823937386475407f, 0.4824357286360655f, 0.4824777175159788f,
  0.4825197052871844f, 0.4825616919495854f, 0.4826036775030857f, 0.4826456619475885f,
  0.4826876452829975f, 0.4827296275092162f, 0.4827716086261480f, 0.4828135886336967f,
  0.4828555675317657f, 0.4828975453202584f, 0.4829395219990785f, 0.4829814975681295f,
  0.4830234720273150f, 0.4830654453765383f, 0.4831074176157032f, 0.4831493887447133f,
  0.4831913587634719f, 0.4832333276718827f, 0.4832752954698493f, 0.4833172621572751f,
  0.4833592277340638f, 0.4834011922001190f, 0.4834431555553442f, 0.4834851177996428f,
  0.4835270789329187f, 0.4835690389550753f, 0.4836109978660161f, 0.4836529556656449f,
  0.4836949123538651f, 0.4837368679305804f, 0.4837788223956942f, 0.4838207757491103f,
  0.4838627279907323f, 0.4839046791204635f, 0.4839466291382079f, 0.4839885780438689f,
  0.4840305258373500f, 0.4840724725185550f, 0.4841144180873875f, 0.4841563625437509f,
  0.4841983058875490f, 0.4842402481186854f, 0.4842821892370637f, 0.4843241292425875f,
  0.4843660681351604f, 0.4844080059146862f, 0.4844499425810683f, 0.4844918781342104f,
  0.4845338125740162f, 0.4845757459003893f, 0.4846176781132332f, 0.4846596092124518f,
  0.4847015391979487f, 0.4847434680696273f, 0.4847853958273915f, 0.4848273224711449f,
  0.4848692480007911f, 0.4849111724162338f, 0.4849530957173766f, 0.4849950179041232f,
  0.4850369389763773f, 0.4850788589340426f, 0.4851207777770227f, 0.4851626955052212f,
  0.4852046121185418f, 0.4852465276168884f, 0.4852884420001645f, 0.4853303552682736f,
  0.4853722674211198f, 0.4854141784586065f, 0.4854560883806374f, 0.4854979971871163f,
  0.4855399048779470f, 0.4855818114530329f, 0.4856237169122778f, 0.4856656212555855f,
  0.4857075244828598f, 0.4857494265940041f, 0.4857913275889223f, 0.4858332274675182f,
  0.4858751262296953f, 0.4859170238753575f, 0.4859589204044084f, 0.4860008158167518f,
  0.4860427101122913f, 0.4860846032909309f, 0.4861264953525741f, 0.4861683862971247f,
  0.4862102761244864f, 0.4862521648345630f, 0.4862940524272583f, 0.4863359389024758f,
  0.4863778242601194f, 0.4864197085000930f, 0.4864615916223001f, 0.4865034736266446f,
  0.4865453545130303f, 0.4865872342813607f, 0.4866291129315399f, 0.4866709904634715f,
  0.4867128668770593f, 0.4867547421722069f, 0.4867966163488183f, 0.4868384894067972f,
  0.4868803613460473f, 0.4869222321664726f, 0.4869641018679767f, 0.4870059704504634f,
  0.4870478379138364f, 0.4870897042579997f, 0.4871315694828570f, 0.4871734335883121f,
  0.4872152965742688f, 0.4872571584406308f, 0.4872990191873020f, 0.4873408788141863f,
  0.4873827373211874f, 0.4874245947082091f, 0.4874664509751551f, 0.4875083061219295f,
  0.4875501601484360f, 0.4875920130545782f, 0.4876338648402603f, 0.4876757155053859f,
  0.4877175650498588f, 0.4877594134735830f, 0.4878012607764622f, 0.4878431069584003f,
  0.4878849520193010f, 0.4879267959590684f, 0.4879686387776062f, 0.4880104804748182f,
  0.4880523210506083f, 0.4880941605048804f, 0.4881359988375382f, 0.4881778360484857f,
  0.4882196721376268f, 0.4882615071048653f, 0.4883033409501049f, 0.4883451736732497f,
  0.4883870052742035f, 0.4884288357528702f, 0.4884706651091536f, 0.4885124933429577f,
  0.4885543204541862f, 0.4885961464427431f, 0.4886379713085323f, 0.4886797950514578f,
  0.4887216176714231f, 0.4887634391683324f, 0.4888052595420897f, 0.4888470787925986f,
  0.4888888969197632f, 0.4889307139234873f, 0.4889725298036749f, 0.4890143445602298f,
  0.4890561581930560f, 0.4890979707020575f, 0.4891397820871379f, 0.4891815923482015f,
  0.4892234014851520f, 0.4892652094978934f, 0.4893070163863295f, 0.4893488221503643f,
  0.4893906267899019f, 0.4894324303048460f, 0.4894742326951007f, 0.4895160339605699f,
  0.4895578341011574f, 0.4895996331167674f, 0.4896414310073037f, 0.4896832277726702f,
  0.4897250234127709f, 0.4897668179275098f, 0.4898086113167909f, 0.4898504035805180f,
  0.4898921947185952f, 0.4899339847309264f, 0.4899757736174156f, 0.4900175613779667f,
  0.4900593480124839f, 0.4901011335208709f, 0.4901429179030317f, 0.4901847011588705f,
  0.4902264832882912f, 0.4902682642911976f, 0.4903100441674939f, 0.4903518229170841f,
  0.4903936005398721f, 0.4904353770357618f, 0.4904771524046574f, 0.4905189266464628f,
  0.4905606997610820f, 0.4906024717484191f, 0.4906442426083780f, 0.4906860123408628f,
  0.4907277809457774f, 0.4907695484230259f, 0.4908113147725124f, 0.4908530799941407f,
  0.4908948440878151f, 0.4909366070534394f, 0.4909783688909177f, 0.4910201296001542f,
  0.4910618891810526f, 0.4911036476335173f, 0.4911454049574520f, 0.4911871611527610f,
  0.4912289162193483f, 0.4912706701571178f, 0.4913124229659737f, 0.4913541746458200f,
  0.4913959251965608f, 0.4914376746181001f, 0.4914794229103421f, 0.4915211700731907f,
  0.4915629161065499f, 0.4916046610103240f, 0.4916464047844170f, 0.4916881474287328f,
  0.4917298889431758f, 0.4917716293276498f, 0.4918133685820590f, 0.4918551067063074f,
  0.4918968437002993f, 0.4919385795639386f, 0.4919803142971294f, 0.4920220478997758f,
  0.4920637803717820f, 0.4921055117130519f, 0.4921472419234899f, 0.4921889710029999f,
  0.4922306989514861f, 0.4922724257688524f, 0.4923141514550032f, 0.4923558760098425f,
  0.4923975994332744f, 0.4924393217252030f, 0.4924810428855326f, 0.4925227629141671f,
  0.4925644818110106f, 0.4926061995759675f, 0.4926479162089417f, 0.4926896317098374f,
  0.4927313460785588f, 0.4927730593150101f, 0.4928147714190952f, 0.4928564823907185f,
  0.4928981922297840f, 0.4929399009361960f, 0.4929816085098584f, 0.4930233149506756f,
  0.4930650202585517f, 0.4931067244333907f, 0.4931484274750971f, 0.4931901293835748f,
  0.4932318301587279f, 0.4932735298004609f, 0.4933152283086777f, 0.4933569256832827f,
  0.4933986219241798f, 0.4934403170312734f, 0.4934820110044677f, 0.4935237038436667f,
  0.4935653955487748f, 0.4936070861196961f, 0.4936487755563347f, 0.4936904638585949f,
  0.4937321510263810f, 0.4937738370595971f, 0.4938155219581473f, 0.4938572057219361f,
  0.4938988883508675f, 0.4939405698448456f, 0.4939822502037750f, 0.4940239294275595f,
  0.4940656075161037f, 0.4941072844693114f, 0.4941489602870873f, 0.4941906349693353f,
  0.4942323085159597f, 0.4942739809268648f, 0.4943156522019549f, 0.4943573223411341f,
  0.4943989913443066f, 0.4944406592113769f, 0.4944823259422491f, 0.4945239915368272f,
  0.4945656559950160f, 0.4946073193167193f, 0.4946489815018415f, 0.4946906425502869f,
  0.4947323024619599f, 0.4947739612367645f, 0.4948156188746050f, 0.4948572753753858f,
  0.4948989307390113f, 0.4949405849653853f, 0.4949822380544127f, 0.4950238900059973f,
  0.4950655408200436f, 0.4951071904964559f, 0.4951488390351383f, 0.4951904864359954f,
  0.4952321326989312f, 0.4952737778238502f, 0.4953154218106567f, 0.4953570646592548f,
  0.4953987063695490f, 0.4954403469414436f, 0.4954819863748429f, 0.4955236246696510f,
  0.4955652618257725f, 0.4956068978431117f, 0.4956485327215727f, 0.4956901664610600f,
  0.4957317990614780f, 0.4957734305227308f, 0.4958150608447229f, 0.4958566900273586f,
  0.4958983180705423f, 0.4959399449741781f, 0.4959815707381707f, 0.4960231953624242f,
  0.4960648188468429f, 0.4961064411913313f, 0.4961480623957938f, 0.4961896824601347f,
  0.4962313013842582f, 0.4962729191680689f, 0.4963145358114711f, 0.4963561513143690f,
  0.4963977656766672f, 0.4964393788982699f, 0.4964809909790815f, 0.4965226019190065f,
  0.4965642117179493f, 0.4966058203758141f, 0.4966474278925053f, 0.4966890342679274f,
  0.4967306395019848f, 0.4967722435945817f, 0.4968138465456228f, 0.4968554483550123f,
  0.4968970490226545f, 0.4969386485484540f, 0.4969802469323153f, 0.4970218441741426f,
  0.4970634402738403f, 0.4971050352313129f, 0.4971466290464648f, 0.4971882217192004f,
  0.4972298132494242f, 0.4972714036370406f, 0.4973129928819540f, 0.4973545809840687f,
  0.4973961679432893f, 0.4974377537595203f, 0.4974793384326658f, 0.4975209219626307f,
  0.4975625043493191f, 0.4976040855926356f, 0.4976456656924846f, 0.4976872446487706f,
  0.4977288224613980f, 0.4977703991302713f, 0.4978119746552949f, 0.4978535490363733f,
  0.4978951222734109f, 0.4979366943663123f, 0.4979782653149818f, 0.4980198351193241f,
  0.4980614037792434f, 0.4981029712946444f, 0.4981445376654315f, 0.4981861028915091f,
  0.4982276669727819f, 0.4982692299091541f, 0.4983107917005304f, 0.4983523523468153f,
  0.4983939118479132f, 0.4984354702037287f, 0.4984770274141661f, 0.4985185834791301f,
  0.4985601383985251f, 0.4986016921722557f, 0.4986432448002264f, 0.4986847962823416f,
  0.4987263466185059f, 0.4987678958086239f, 0.4988094438526000f, 0.4988509907503387f,
  0.4988925365017446f, 0.4989340811067223f, 0.4989756245651762f, 0.4990171668770108f,
  0.4990587080421309f, 0.4991002480604408f, 0.4991417869318451f, 0.4991833246562483f,
  0.4992248612335551f, 0.4992663966636699f, 0.4993079309464972f, 0.4993494640819419f,
  0.4993909960699082f, 0.4994325269103007f, 0.4994740566030242f, 0.4995155851479831f,
  0.4995571125450819f, 0.4995986387942252f, 0.4996401638953178f, 0.4996816878482641f,
  0.4997232106529685f, 0.4997647323093360f, 0.4998062528172709f, 0.4998477721766779f,
  0.4998892903874613f, 0.4999308074495262f, 0.4999723233627768f, 0.5000138381271177f,
  0.5000553517424539f, 0.5000968642086896f, 0.5001383755257295f, 0.5001798856934784f,
  0.5002213947118407f, 0.5002629025807210f, 0.5003044093000240f, 0.5003459148696543f,
  0.5003874192895166f, 0.5004289225595153f, 0.5004704246795554f, 0.5005119256495413f,
  0.5005534254693774f, 0.5005949241389689f, 0.5006364216582200f, 0.5006779180270354f,
  0.5007194132453199f, 0.5007609073129780f, 0.5008024002299144f, 0.5008438919960337f,
  0.5008853826112407f, 0.5009268720754401f, 0.5009683603885362f, 0.5010098475504340f,
  0.5010513335610380f, 0.5010928184202530f, 0.5011343021279834f, 0.5011757846841343f,
  0.5012172660886099f, 0.5012587463413153f, 0.5013002254421549f, 0.5013417033910336f,
  0.5013831801878559f, 0.5014246558325264f, 0.5014661303249501f, 0.5015076036650316f,
  0.5015490758526754f, 0.5015905468877864f, 0.5016320167702693f, 0.5016734855000285f,
  0.5017149530769691f, 0.5017564195009957f, 0.5017978847720130f, 0.5018393488899255f,
  0.5018808118546383f, 0.5019222736660559f, 0.5019637343240829f, 0.5020051938286243f,
  0.5020466521795847f, 0.5020881093768688f, 0.5021295654203813f, 0.5021710203100271f,
  0.5022124740457108f, 0.5022539266273371f, 0.5022953780548109f, 0.5023368283280369f,
  0.5023782774469199f, 0.5024197254113644f, 0.5024611722212754f, 0.5025026178765576f,
  0.5025440623771157f, 0.5025855057228545f, 0.5026269479136789f, 0.5026683889494934f,
  0.5027098288302030f, 0.5027512675557124f, 0.5027927051259263f, 0.5028341415407496f,
  0.5028755768000870f, 0.5029170109038432f, 0.5029584438519231f, 0.5029998756442317f,
  0.5030413062806735f, 0.5030827357611531f, 0.5031241640855758f, 0.5031655912538462f,
  0.5032070172658690f, 0.5032484421215491f, 0.5032898658207913f, 0.5033312883635004f,
  0.5033727097495810f, 0.5034141299789383f, 0.5034555490514770f, 0.5034969669671018f,
  0.5035383837257176f, 0.5035797993272292f, 0.5036212137715413f, 0.5036626270585590f,
  0.5037040391881871f, 0.5037454501603302f, 0.5037868599748933f, 0.5038282686317813f,
  0.5038696761308989f, 0.5039110824721511f, 0.5039524876554425f, 0.5039938916806783f,
  0.5040352945477632f, 0.5040766962566019f, 0.5041180968070994f, 0.5041594961991607f,
  0.5042008944326904f, 0.5042422915075936f, 0.5042836874237749f, 0.5043250821811396f,
  0.5043664757795920f, 0.5044078682190376f, 0.5044492594993809f, 0.5044906496205267f,
  0.5045320385823803f, 0.5045734263848461f, 0.5046148130278295f, 0.5046561985112349f,
  0.5046975828349676f, 0.5047389659989323f, 0.5047803480030338f, 0.5048217288471774f,
  0.5048631085312676f, 0.5049044870552094f, 0.5049458644189079f, 0.5049872406222679f,
  0.5050286156651942f, 0.5050699895475919f, 0.5051113622693658f, 0.5051527338304210f,
  0.5051941042306622f, 0.5052354734699946f, 0.5052768415483230f, 0.5053182084655522f,
  0.5053595742215873f, 0.5054009388163333f, 0.5054423022496950f, 0.5054836645215773f,
  0.5055250256318854f, 0.5055663855805241f, 0.5056077443673983f, 0.5056491019924131f,
  0.5056904584554734f, 0.5057318137564842f, 0.5057731678953503f, 0.5058145208719769f,
  0.5058558726862689f, 0.5058972233381310f, 0.5059385728274687f, 0.5059799211541867f,
  0.5060212683181898f, 0.5060626143193833f, 0.5061039591576720f, 0.5061453028329611f,
  0.5061866453451552f, 0.5062279866941598f, 0.5062693268798796f, 0.5063106659022195f,
  0.5063520037610848f, 0.5063933404563803f, 0.5064346759880112f, 0.5064760103558822f,
  0.5065173435598985f, 0.5065586755999653f, 0.5066000064759872f, 0.5066413361878697f,
  0.5066826647355176f, 0.5067239921188357f, 0.5067653183377294f, 0.5068066433921036f,
  0.5068479672818633f, 0.5068892900069135f, 0.5069306115671595f, 0.5069719319625060f,
  0.5070132511928582f, 0.5070545692581212f, 0.5070958861582000f, 0.5071372018929997f,
  0.5071785164624252f, 0.5072198298663818f, 0.5072611421047744f, 0.5073024531775080f,
  0.5073437630844879f, 0.5073850718256191f, 0.5074263794008066f, 0.5074676858099555f,
  0.5075089910529709f, 0.5075502951297578f, 0.5075915980402214f, 0.5076328997842667f,
  0.5076742003617989f, 0.5077154997727229f, 0.5077567980169441f, 0.5077980950943674f,
  0.5078393910048978f, 0.5078806857484406f, 0.5079219793249008f, 0.5079632717341837f,
  0.5080045629761940f, 0.5080458530508372f, 0.5080871419580183f, 0.5081284296976424f,
  0.5081697162696146f, 0.5082110016738401f, 0.5082522859102240f, 0.5082935689786714f,
  0.5083348508790874f, 0.5083761316113773f, 0.5084174111754459f, 0.5084586895711988f,
  0.5084999667985409f, 0.5085412428573772f, 0.5085825177476131f, 0.5086237914691537f,
  0.5086650640219041f, 0.5087063354057695f, 0.5087476056206550f, 0.5087888746664658f,
  0.5088301425431070f, 0.5088714092504839f, 0.5089126747885017f, 0.5089539391570653f,
  0.5089952023560801f, 0.5090364643854514f, 0.5090777252450840f, 0.5091189849348834f,
  0.5091602434547546f, 0.5092015008046030f, 0.5092427569843336f, 0.5092840119938518f,
  0.5093252658330625f, 0.5093665185018712f, 0.5094077700001828f, 0.5094490203279028f,
  0.5094902694849364f, 0.5095315174711884f, 0.5095727642865645f, 0.5096140099309697f,
  0.5096552544043094f, 0.5096964977064884f, 0.5097377398374123f, 0.5097789807969864f,
  0.5098202205851154f, 0.5098614592017051f, 0.5099026966466605f, 0.5099439329198869f,
  0.5099851680212895f, 0.5100264019507735f, 0.5100676347082443f, 0.5101088662936069f,
  0.5101500967067668f, 0.5101913259476291f, 0.5102325540160990f, 0.5102737809120821f,
  0.5103150066354832f, 0.5103562311862079f, 0.5103974545641614f, 0.5104386767692489f,
  0.5104798978013758f, 0.5105211176604472f, 0.5105623363463684f, 0.5106035538590449f,
  0.5106447701983816f, 0.5106859853642842f, 0.5107271993566578f, 0.5107684121754077f,
  0.5108096238204390f, 0.5108508342916575f, 0.5108920435889680f, 0.5109332517122760f,
  0.5109744586614868f, 0.5110156644365058f, 0.5110568690372381f, 0.5110980724635892f,
  0.5111392747154644f, 0.5111804757927689f, 0.5112216756954081f, 0.5112628744232873f,
  0.5113040719763120f, 0.5113452683543872f, 0.5113864635574185f, 0.5114276575853111f,
  0.5114688504379704f, 0.5115100421153017f, 0.5115512326172105f, 0.5115924219436019f,
  0.5116336100943812f, 0.5116747970694542f, 0.5117159828687259f, 0.5117571674921015f,
  0.5117983509394869f, 0.5118395332107870f, 0.5118807143059074f, 0.5119218942247532f,
  0.5119630729672302f, 0.5120042505332434f, 0.5120454269226983f, 0.5120866021355003f,
  0.5121277761715547f, 0.5121689490307669f, 0.5122101207130425f, 0.5122512912182867f,
  0.5122924605464050f, 0.5123336286973025f, 0.5123747956708850f, 0.5124159614670576f,
  0.5124571260857257f, 0.5124982895267950f, 0.5125394517901707f, 0.5125806128757583f,
  0.5126217727834630f, 0.5126629315131904f, 0.5127040890648460f, 0.5127452454383350f,
  0.5127864006335630f, 0.5128275546504354f, 0.5128687074888575f, 0.5129098591487349f,
  0.5129510096299730f, 0.5129921589324771f, 0.5130333070561527f, 0.5130744540009055f,
  0.5131155997666406f, 0.5131567443532634f, 0.5131978877606799f, 0.5132390299887950f,
  0.5132801710375143f, 0.5133213109067434f, 0.5133624495963877f, 0.5134035871063525f,
  0.5134447234365435f, 0.5134858585868660f, 0.5135269925572257f, 0.5135681253475277f,
  0.5136092569576778f, 0.5136503873875815f, 0.5136915166371441f, 0.5137326447062710f,
  0.5137737715948680f, 0.5138148973028405f, 0.5138560218300938f, 0.5138971451765336f,
  0.5139382673420654f, 0.5139793883265945f, 0.5140205081300266f, 0.5140616267522672f,
  0.5141027441932218f, 0.5141438604527957f, 0.5141849755308947f, 0.5142260894274242f,
  0.5142672021422897f, 0.5143083136753969f, 0.5143494240266511f, 0.5143905331959580f,
  0.5144316411832228f, 0.5144727479883515f, 0.5145138536112495f, 0.5145549580518221f,
  0.5145960613099750f, 0.5146371633856139f, 0.5146782642786442f, 0.5147193639889713f,
  0.5147604625165012f, 0.5148015598611390f, 0.5148426560227903f, 0.5148837510013611f,
  0.5149248447967565f, 0.5149659374088822f, 0.5150070288376439f, 0.5150481190829470f,
  0.5150892081446973f, 0.5151302960228000f, 0.5151713827171611f, 0.5152124682276860f,
  0.5152535525542802f, 0.5152946356968494f, 0.5153357176552993f, 0.5153767984295352f,
  0.5154178780194629f, 0.5154589564249881f, 0.5155000336460163f, 0.5155411096824528f,
  0.5155821845342038f, 0.5156232582011745f, 0.5156643306832704f, 0.5157054019803976f,
  0.5157464720924614f, 0.5157875410193674f, 0.5158286087610214f, 0.5158696753173290f,
  0.5159107406881956f, 0.5159518048735270f, 0.5159928678732290f, 0.5160339296872070f,
  0.5160749903153666f, 0.5161160497576137f, 0.5161571080138537f, 0.5161981650839925f,
  0.5162392209679355f, 0.5162802756655885f, 0.5163213291768572f, 0.5163623815016470f,
  0.5164034326398640f, 0.5164444825914135f, 0.5164855313562012f, 0.5165265789341330f,
  0.5165676253251144f, 0.5166086705290511f, 0.5166497145458487f, 0.5166907573754131f,
  0.5167317990176499f, 0.5167728394724647f, 0.5168138787397631f, 0.5168549168194512f,
  0.5168959537114343f, 0.5169369894156182f, 0.5169780239319086f, 0.5170190572602114f,
  0.5170600894004319f, 0.5171011203524762f, 0.5171421501162500f, 0.5171831786916586f,
  0.5172242060786083f, 0.5172652322770044f, 0.5173062572867527f, 0.5173472811077590f,
  0.5173883037399291f, 0.5174293251831685f, 0.5174703454373831f, 0.5175113645024787f,
  0.5175523823783609f, 0.5175933990649354f, 0.5176344145621082f, 0.5176754288697849f,
  0.5177164419878711f, 0.5177574539162727f, 0.5177984646548955f, 0.5178394742036453f,
  0.5178804825624277f, 0.5179214897311485f, 0.5179624957097136f, 0.5180035004980287f,
  0.5180445040959993f, 0.5180855065035317f, 0.5181265077205313f, 0.5181675077469039f,
  0.5182085065825555f, 0.5182495042273917f, 0.5182905006813183f, 0.5183314959442412f,
  0.5183724900160661f, 0.5184134828966990f, 0.5184544745860452f, 0.5184954650840111f,
  0.5185364543905022f, 0.5185774425054243f, 0.5186184294286832f, 0.5186594151601849f,
  0.5187003996998351f, 0.5187413830475395f, 0.5187823652032041f, 0.5188233461667346f,
  0.5188643259380369f, 0.5189053045170169f, 0.5189462819035804f, 0.5189872580976330f,
  0.5190282330990809f, 0.5190692069078296f, 0.5191101795237852f, 0.5191511509468535f,
  0.5191921211769402f, 0.5192330902139515f, 0.5192740580577927f, 0.5193150247083702f,
  0.5193559901655896f, 0.5193969544293568f, 0.5194379174995776f, 0.5194788793761580f,
  0.5195198400590038f, 0.5195607995480208f, 0.5196017578431150f, 0.5196427149441923f,
  0.5196836708511584f, 0.5197246255639195f, 0.5197655790823812f, 0.5198065314064495f,
  0.5198474825360302f, 0.5198884324710293f, 0.5199293812113528f, 0.5199703287569063f,
  0.5200112751075960f, 0.5200522202633278f, 0.5200931642240072f, 0.5201341069895407f,
  0.5201750485598338f, 0.5202159889347926f, 0.5202569281143228f, 0.5202978660983307f,
  0.5203388028867220f, 0.5203797384794024f, 0.5204206728762784f, 0.5204616060772556f,
  0.5205025380822398f, 0.5205434688911371f, 0.5205843985038535f, 0.5206253269202948f,
  0.5206662541403672f, 0.5207071801639763f, 0.5207481049910284f, 0.5207890286214292f,
  0.5208299510550847f, 0.5208708722919010f, 0.5209117923317841f, 0.5209527111746396f,
  0.5209936288203739f, 0.5210345452688927f, 0.5210754605201021f, 0.5211163745739080f,
  0.5211572874302166f, 0.5211981990889336f, 0.5212391095499651f, 0.5212800188132172f,
  0.5213209268785957f, 0.5213618337460065f, 0.5214027394153561f, 0.5214436438865500f,
  0.5214845471594943f, 0.5215254492340953f, 0.5215663501102588f, 0.5216072497878906f,
  0.5216481482668971f, 0.5216890455471841f, 0.5217299416286577f, 0.5217708365112238f,
  0.5218117301947885f, 0.5218526226792580f, 0.5218935139645380f, 0.5219344040505348f,
  0.5219752929371544f, 0.5220161806243027f, 0.5220570671118857f, 0.5220979523998098f,
  0.5221388364879808f, 0.5221797193763046f, 0.5222206010646875f, 0.5222614815530355f,
  0.5223023608412547f, 0.5223432389292509f, 0.5223841158169306f, 0.5224249915041995f,
  0.5224658659909638f, 0.5225067392771297f, 0.5225476113626030f, 0.5225884822472899f,
  0.5226293519310966f, 0.5226702204139291f, 0.5227110876956935f, 0.5227519537762957f,
  0.5227928186556421f, 0.5228336823336387f, 0.5228745448101914f, 0.5229154060852066f,
  0.5229562661585901f, 0.5229971250302483f, 0.5230379827000871f, 0.5230788391680127f,
  0.5231196944339312f, 0.5231605484977486f, 0.5232014013593713f, 0.5232422530187052f,
  0.5232831034756564f, 0.5233239527301312f, 0.5233648007820356f, 0.5234056476312758f,
  0.5234464932777578f, 0.5234873377213879f, 0.5235281809620722f, 0.5235690229997169f,
  0.5236098638342279f, 0.5236507034655117f, 0.5236915418934741f, 0.5237323791180216f,
  0.5237732151390602f, 0.5238140499564961f, 0.5238548835702351f, 0.5238957159801840f,
  0.5239365471862486f, 0.5239773771883350f, 0.5240182059863496f, 0.5240590335801985f,
  0.5240998599697878f, 0.5241406851550238f, 0.5241815091358125f, 0.5242223319120604f,
  0.5242631534836734f, 0.5243039738505578f, 0.5243447930126198f, 0.5243856109697655f,
  0.5244264277219014f, 0.5244672432689335f, 0.5245080576107679f, 0.5245488707473109f,
  0.5245896826784689f, 0.5246304934041479f, 0.5246713029242540f, 0.5247121112386939f,
  0.5247529183473734f, 0.5247937242501988f, 0.5248345289470763f, 0.5248753324379123f,
  0.5249161347226130f, 0.5249569358010845f, 0.5249977356732332f, 0.5250385343389652f,
  0.5250793317981868f, 0.5251201280508043f, 0.5251609230967240f, 0.5252017169358520f,
  0.5252425095680947f, 0.5252833009933582f, 0.5253240912115490f, 0.5253648802225730f,
  0.5254056680263369f, 0.5254464546227468f, 0.5254872400117087f, 0.5255280241931293f,
  0.5255688071669147f, 0.5256095889329711f, 0.5256503694912048f, 0.5256911488415223f,
  0.5257319269838298f, 0.5257727039180333f, 0.5258134796440395f, 0.5258542541617546f,
  0.5258950274710847f, 0.5259357995719363f, 0.5259765704642156f, 0.5260173401478291f,
  0.5260581086226828f, 0.5260988758886832f, 0.5261396419457368f, 0.5261804067937496f,
  0.5262211704326281f, 0.5262619328622785f, 0.5263026940826073f, 0.5263434540935207f,
  0.5263842128949251f, 0.5264249704867269f, 0.5264657268688322f, 0.5265064820411476f,
  0.5265472360035794f, 0.5265879887560339f, 0.5266287402984173f, 0.5266694906306363f,
  0.5267102397525970f, 0.5267509876642058f, 0.5267917343653691f, 0.5268324798559934f,
  0.5268732241359846f, 0.5269139672052496f, 0.5269547090636947f, 0.5269954497112260f,
  0.5270361891477501f, 0.5270769273731732f, 0.5271176643874019f, 0.5271584001903424f,
  0.5271991347819013f, 0.5272398681619849f, 0.5272806003304994f, 0.5273213312873515f,
  0.5273620610324475f, 0.5274027895656938f, 0.5274435168869966f, 0.5274842429962626f,
  0.5275249678933982f, 0.5275656915783096f, 0.5276064140509034f, 0.5276471353110860f,
  0.5276878553587637f, 0.5277285741938431f, 0.5277692918162306f, 0.5278100082258325f,
  0.5278507234225552f, 0.5278914374063055f, 0.5279321501769896f, 0.5279728617345137f,
  0.5280135720787846f, 0.5280542812097088f, 0.5280949891271924f, 0.5281356958311422f,
  0.5281764013214644f, 0.5282171055980657f, 0.5282578086608521f, 0.5282985105097308f,
  0.5283392111446077f, 0.5283799105653895f, 0.5284206087719825f, 0.5284613057642933f,
  0.5285020015422285f, 0.5285426961056943f, 0.5285833894545975f, 0.5286240815888443f,
  0.5286647725083413f, 0.5287054622129952f, 0.5287461507027122f, 0.5287868379773990f,
  0.5288275240369619f, 0.5288682088813076f, 0.5289088925103426f, 0.5289495749239731f,
  0.5289902561221060f, 0.5290309361046478f, 0.5290716148715047f, 0.5291122924225835f,
  0.5291529687577906f, 0.5291936438770327f, 0.5292343177802160f, 0.5292749904672474f,
  0.5293156619380333f, 0.5293563321924800f, 0.5293970012304944f, 0.5294376690519829f,
  0.5294783356568520f, 0.5295190010450083f, 0.5295596652163583f, 0.5296003281708087f,
  0.5296409899082659f, 0.5296816504286366f, 0.5297223097318272f, 0.5297629678177443f,
  0.5298036246862946f, 0.5298442803373846f, 0.5298849347709210f, 0.5299255879868100f,
  0.5299662399849586f, 0.5300068907652732f, 0.5300475403276603f, 0.5300881886720268f,
  0.5301288357982790f, 0.5301694817063235f, 0.5302101263960669f, 0.5302507698674160f,
  0.5302914121202773f, 0.5303320531545573f, 0.5303726929701628f, 0.5304133315670003f,
  0.5304539689449763f, 0.5304946051039977f, 0.5305352400439709f, 0.5305758737648026f,
  0.5306165062663993f, 0.5306571375486678f, 0.5306977676115148f, 0.5307383964548467f,
  0.5307790240785701f, 0.5308196504825921f, 0.5308602756668187f, 0.5309008996311571f,
  0.5309415223755136f, 0.5309821438997950f, 0.5310227642039079f, 0.5310633832877590f,
  0.5311040011512550f, 0.5311446177943023f, 0.5311852332168080f, 0.5312258474186785f,
  0.5312664603998205f, 0.5313070721601405f, 0.5313476826995456f, 0.5313882920179421f,
  0.5314289001152368f, 0.5314695069913364f, 0.5315101126461477f, 0.5315507170795771f,
  0.5315913202915317f, 0.5316319222819178f, 0.5316725230506424f, 0.5317131225976119f,
  0.5317537209227333f, 0.5317943180259131f, 0.5318349139070582f, 0.5318755085660751f,
  0.5319161020028706f, 0.5319566942173516f, 0.5319972852094245f, 0.5320378749789962f,
  0.5320784635259735f, 0.5321190508502629f, 0.5321596369517715f, 0.5322002218304056f,
  0.5322408054860722f, 0.5322813879186780f, 0.5323219691281298f, 0.5323625491143342f,
  0.5324031278771979f, 0.5324437054166280f, 0.5324842817325309f, 0.5325248568248135f,
  0.5325654306933826f, 0.5326060033381449f, 0.5326465747590071f, 0.5326871449558762f,
  0.5327277139286588f, 0.5327682816772616f, 0.5328088482015916f, 0.5328494135015553f,
  0.5328899775770598f, 0.5329305404280116f, 0.5329711020543176f, 0.5330116624558847f,
  0.5330522216326196f, 0.5330927795844290f, 0.5331333363112198f, 0.5331738918128990f,
  0.5332144460893730f, 0.5332549991405487f, 0.5332955509663333f, 0.5333361015666331f,
  0.5333766509413553f, 0.5334171990904066f, 0.5334577460136938f, 0.5334982917111236f,
  0.5335388361826031f, 0.5335793794280389f, 0.5336199214473378f, 0.5336604622404070f,
  0.5337010018071530f, 0.5337415401474827f, 0.5337820772613029f, 0.5338226131485206f,
  0.5338631478090426f, 0.5339036812427757f, 0.5339442134496268f, 0.5339847444295027f,
  0.5340252741823104f, 0.5340658027079566f, 0.5341063300063483f, 0.5341468560773923f,
  0.5341873809209954f, 0.5342279045370647f, 0.5342684269255068f, 0.5343089480862288f,
  0.5343494680191375f, 0.5343899867241397f, 0.5344305042011425f, 0.5344710204500527f,
  0.5345115354707771f, 0.5345520492632228f, 0.5345925618272963f, 0.5346330731629050f,
  0.5346735832699555f, 0.5347140921483547f, 0.5347545997980098f, 0.5347951062188274f,
  0.5348356114107147f, 0.5348761153735783f, 0.5349166181073253f, 0.5349571196118627f,
  0.5349976198870972f, 0.5350381189329360f, 0.5350786167492858f, 0.5351191133360537f,
  0.5351596086931466f, 0.5352001028204715f, 0.5352405957179353f, 0.5352810873854447f,
  0.5353215778229071f, 0.5353620670302291f, 0.5354025550073178f, 0.5354430417540803f,
  0.5354835272704234f, 0.5355240115562541f, 0.5355644946114791f, 0.5356049764360059f,
  0.5356454570297411f, 0.5356859363925917f, 0.5357264145244649f, 0.5357668914252675f,
  0.5358073670949064f, 0.5358478415332889f, 0.5358883147403218f, 0.5359287867159120f,
  0.5359692574599667f, 0.5360097269723928f, 0.5360501952530973f, 0.5360906623019871f,
  0.5361311281189695f, 0.5361715927039512f, 0.5362120560568394f, 0.5362525181775409f,
  0.5362929790659632f, 0.5363334387220128f, 0.5363738971455969f, 0.5364143543366227f,
  0.5364548102949971f, 0.5364952650206269f, 0.5365357185134196f, 0.5365761707732820f,
  0.5366166218001212f, 0.5366570715938440f, 0.5366975201543577f, 0.5367379674815694f,
  0.5367784135753859f, 0.5368188584357145f, 0.5368593020624622f, 0.5368997444555359f,
  0.5369401856148429f, 0.5369806255402901f, 0.5370210642317848f, 0.5370615016892337f,
  0.5371019379125441f, 0.5371423729016233f, 0.5371828066563779f, 0.5372232391767153f,
  0.5372636704625425f, 0.5373041005137668f, 0.5373445293302948f, 0.5373849569120341f,
  0.5374253832588916f, 0.5374658083707743f, 0.5375062322475894f, 0.5375466548892441f,
  0.5375870762956454f, 0.5376274964667005f, 0.5376679154023165f, 0.5377083331024004f,
  0.5377487495668594f, 0.5377891647956006f, 0.5378295787885312f, 0.5378699915455581f,
  0.5379104030665889f, 0.5379508133515304f, 0.5379912224002897f, 0.5380316302127740f,
  0.5380720367888906f, 0.5381124421285466f, 0.5381528462316488f, 0.5381932490981048f,
  0.5382336507278217f, 0.5382740511207064f, 0.5383144502766662f, 0.5383548481956084f,
  0.5383952448774399f, 0.5384356403220681f, 0.5384760345294002f, 0.5385164274993431f,
  0.5385568192318041f, 0.5385972097266906f, 0.5386375989839095f, 0.5386779870033681f,
  0.5387183737849736f, 0.5387587593286332f, 0.5387991436342541f, 0.5388395267017434f,
  0.5388799085310084f, 0.5389202891219563f, 0.5389606684744943f, 0.5390010465885297f,
  0.5390414234639694f, 0.5390817991007211f, 0.5391221734986915f, 0.5391625466577882f,
  0.5392029185779182f, 0.5392432892589889f, 0.5392836587009074f, 0.5393240269035812f,
  0.5393643938669170f, 0.5394047595908226f, 0.5394451240752050f, 0.5394854873199713f,
  0.5395258493250289f, 0.5395662100902852f, 0.5396065696156472f, 0.5396469279010222f,
  0.5396872849463176f, 0.5397276407514406f, 0.5397679953162985f, 0.5398083486407983f,
  0.5398487007248476f, 0.5398890515683535f, 0.5399294011712233f, 0.5399697495333644f,
  0.5400100966546840f, 0.5400504425350893f, 0.5400907871744878f, 0.5401311305727865f,
  0.5401714727298930f, 0.5402118136457141f, 0.5402521533201577f, 0.5402924917531309f,
  0.5403328289445407f, 0.5403731648942949f, 0.5404134996023005f, 0.5404538330684647f,
  0.5404941652926952f, 0.5405344962748990f, 0.5405748260149836f, 0.5406151545128561f,
  0.5406554817684242f, 0.5406958077815949f, 0.5407361325522756f, 0.5407764560803737f,
  0.5408167783657967f, 0.5408570994084516f, 0.5408974192082459f, 0.5409377377650869f,
  0.5409780550788821f, 0.5410183711495387f, 0.5410586859769642f, 0.5410989995610658f,
  0.5411393119017508f, 0.5411796229989269f, 0.5412199328525013f, 0.5412602414623812f,
  0.5413005488284741f, 0.5413408549506874f, 0.5413811598289285f, 0.5414214634631047f,
  0.5414617658531234f, 0.5415020669988921f, 0.5415423669003182f, 0.5415826655573087f,
  0.5416229629697715f, 0.5416632591376138f, 0.5417035540607429f, 0.5417438477390664f,
  0.5417841401724915f, 0.5418244313609257f, 0.5418647213042765f, 0.5419050100024514f,
  0.5419452974553575f, 0.5419855836629023f, 0.5420258686249935f, 0.5420661523415382f,
  0.5421064348124439f, 0.5421467160376182f, 0.5421869960169685f, 0.5422272747504020f,
  0.5422675522378265f, 0.5423078284791492f, 0.5423481034742776f, 0.5423883772231192f,
  0.5424286497255812f, 0.5424689209815715f, 0.5425091909909973f, 0.5425494597537660f,
  0.5425897272697853f, 0.5426299935389624f, 0.5426702585612048f, 0.5427105223364203f,
  0.5427507848645159f, 0.5427910461453994f, 0.5428313061789782f, 0.5428715649651599f,
  0.5429118225038517f, 0.5429520787949613f, 0.5429923338383963f, 0.5430325876340639f,
  0.5430728401818717f, 0.5431130914817275f, 0.5431533415335383f, 0.5431935903372119f,
  0.5432338378926559f, 0.5432740841997777f, 0.5433143292584848f, 0.5433545730686845f,
  0.5433948156302848f, 0.5434350569431928f, 0.5434752970073163f, 0.5435155358225627f,
  0.5435557733888395f, 0.5435960097060544f, 0.5436362447741148f, 0.5436764785929283f,
  0.5437167111624024f, 0.5437569424824447f, 0.5437971725529627f, 0.5438374013738639f,
  0.5438776289450560f, 0.5439178552664464f, 0.5439580803379429f, 0.5439983041594528f,
  0.5440385267308838f, 0.5440787480521436f, 0.5441189681231395f, 0.5441591869437792f,
  0.5441994045139703f, 0.5442396208336204f, 0.5442798359026371f, 0.5443200497209278f,
  0.5443602622884004f, 0.5444004736049622f, 0.5444406836705209f, 0.5444808924849842f,
  0.5445211000482596f, 0.5445613063602547f, 0.5446015114208772f, 0.5446417152300346f,
  0.5446819177876345f, 0.5447221190935847f, 0.5447623191477926f, 0.5448025179501661f,
  0.5448427155006124f, 0.5448829117990395f, 0.5449231068453549f, 0.5449633006394662f,
  0.5450034931812812f, 0.5450436844707073f, 0.5450838745076523f, 0.5451240632920237f,
  0.5451642508237293f, 0.5452044371026767f, 0.5452446221287736f, 0.5452848059019276f,
  0.5453249884220465f, 0.5453651696890376f, 0.5454053497028090f, 0.5454455284632680f,
  0.5454857059703225f, 0.5455258822238802f, 0.5455660572238487f, 0.5456062309701355f,
  0.5456464034626486f, 0.5456865747012954f, 0.5457267446859839f, 0.5457669134166215f,
  0.5458070808931161f, 0.5458472471153754f, 0.5458874120833068f, 0.5459275757968183f,
  0.5459677382558176f, 0.5460078994602122f, 0.5460480594099100f, 0.5460882181048187f,
  0.5461283755448459f, 0.5461685317298995f, 0.5462086866598871f, 0.5462488403347164f,
  0.5462889927542952f, 0.5463291439185312f, 0.5463692938273320f, 0.5464094424806057f,
  0.5464495898782596f, 0.5464897360202019f, 0.5465298809063400f, 0.5465700245365818f,
  0.5466101669108349f, 0.5466503080290072f, 0.5466904478910065f, 0.5467305864967403f,
  0.5467707238461168f, 0.5468108599390433f, 0.5468509947754280f, 0.5468911283551783f,
  0.5469312606782022f, 0.5469713917444073f, 0.5470115215537015f, 0.5470516501059927f,
  0.5470917774011885f, 0.5471319034391967f, 0.5471720282199252f, 0.5472121517432817f,
  0.5472522740091741f, 0.5472923950175100f, 0.5473325147681976f, 0.5473726332611443f,
  0.5474127504962579f, 0.5474528664734466f, 0.5474929811926179f, 0.5475330946536796f,
  0.5475732068565398f, 0.5476133178011061f, 0.5476534274872864f, 0.5476935359149884f,
  0.5477336430841201f, 0.5477737489945893f, 0.5478138536463038f, 0.5478539570391715f,
  0.5478940591731002f, 0.5479341600479977f, 0.5479742596637719f, 0.5480143580203306f,
  0.5480544551175819f, 0.5480945509554332f, 0.5481346455337929f, 0.5481747388525684f,
  0.5482148309116678f, 0.5482549217109990f, 0.5482950112504698f, 0.5483350995299880f,
  0.5483751865494616f, 0.5484152723087985f, 0.5484553568079065f, 0.5484954400466935f,
  0.5485355220250674f, 0.5485756027429362f, 0.5486156822002075f, 0.5486557603967895f,
  0.5486958373325901f, 0.5487359130075170f, 0.5487759874214782f, 0.5488160605743817f,
  0.5488561324661353f, 0.5488962030966469f, 0.5489362724658245f, 0.5489763405735761f,
  0.5490164074198095f, 0.5490564730044325f, 0.5490965373273533f, 0.5491366003884798f,
  0.5491766621877197f, 0.5492167227249812f, 0.5492567820001721f, 0.5492968400132003f,
  0.5493368967639740f, 0.5493769522524009f, 0.5494170064783891f, 0.5494570594418464f,
  0.5494971111426810f, 0.5495371615808006f, 0.5495772107561132f, 0.5496172586685271f,
  0.5496573053179499f, 0.5496973507042897f, 0.5497373948274544f, 0.5497774376873522f,
  0.5498174792838909f, 0.5498575196169785f, 0.5498975586865231f, 0.5499375964924326f,
  0.5499776330346149f, 0.5500176683129783f, 0.5500577023274305f, 0.5500977350778796f,
  0.5501377665642336f, 0.5501777967864006f, 0.5502178257442885f, 0.5502578534378053f,
  0.5502978798668592f, 0.5503379050313580f, 0.5503779289312100f, 0.5504179515663228f,
  0.5504579729366048f, 0.5504979930419639f, 0.5505380118823081f, 0.5505780294575456f,
  0.5506180457675843f, 0.5506580608123322f, 0.5506980745916975f, 0.5507380871055881f,
  0.5507780983539122f, 0.5508181083365777f, 0.5508581170534929f, 0.5508981245045655f,
  0.5509381306897039f, 0.5509781356088160f, 0.5510181392618099f, 0.5510581416485937f,
  0.5510981427690754f, 0.5511381426231632f, 0.5511781412107651f, 0.5512181385317891f,
  0.5512581345861436f, 0.5512981293737365f, 0.5513381228944756f, 0.5513781151482695f,
  0.5514181061350261f, 0.5514580958546533f, 0.5514980843070595f, 0.5515380714921526f,
  0.5515780574098410f, 0.5516180420600324f, 0.5516580254426352f, 0.5516980075575576f,
  0.5517379884047073f, 0.5517779679839929f, 0.5518179462953224f, 0.5518579233386038f,
  0.5518978991137452f, 0.5519378736206549f, 0.5519778468592411f, 0.5520178188294117f,
  0.5520577895310750f, 0.5520977589641392f, 0.5521377271285122f, 0.5521776940241023f,
  0.5522176596508179f, 0.5522576240085669f, 0.5522975870972574f, 0.5523375489167978f,
  0.5523775094670961f, 0.5524174687480604f, 0.5524574267595991f, 0.5524973835016204f,
  0.5525373389740322f, 0.5525772931767429f, 0.5526172461096606f, 0.5526571977726935f,
  0.5526971481657498f, 0.5527370972887378f, 0.5527770451415656f, 0.5528169917241412f,
  0.5528569370363733f, 0.5528968810781697f, 0.5529368238494388f, 0.5529767653500886f,
  0.5530167055800275f, 0.5530566445391638f, 0.5530965822274054f, 0.5531365186446610f,
  0.5531764537908384f, 0.5532163876658460f, 0.5532563202695920f, 0.5532962516019847f,
  0.5533361816629323f, 0.5533761104523430f, 0.5534160379701252f, 0.5534559642161869f,
  0.5534958891904366f, 0.5535358128927824f, 0.5535757353231326f, 0.5536156564813955f,
  0.5536555763674793f, 0.5536954949812922f, 0.5537354123227427f, 0.5537753283917388f,
  0.5538152431881891f, 0.5538551567120016f, 0.5538950689630846f, 0.5539349799413464f,
  0.5539748896466955f, 0.5540147980790401f, 0.5540547052382881f, 0.5540946111243483f,
  0.5541345157371289f, 0.5541744190765380f, 0.5542143211424840f, 0.5542542219348753f,
  0.5542941214536201f, 0.5543340196986267f, 0.5543739166698036f, 0.5544138123670589f,
  0.5544537067903009f, 0.5544935999394383f, 0.5545334918143789f, 0.5545733824150315f,
  0.5546132717413040f, 0.5546531597931051f, 0.5546930465703430f, 0.5547329320729260f,
  0.5547728163007625f, 0.5548126992537609f, 0.5548525809318293f, 0.5548924613348764f,
  0.5549323404628104f, 0.5549722183155396f, 0.5550120948929723f, 0.5550519701950172f,
  0.5550918442215824f, 0.5551317169725762f, 0.5551715884479073f, 0.5552114586474838f,
  0.5552513275712140f, 0.5552911952190066f, 0.5553310615907698f, 0.5553709266864121f,
  0.5554107905058416f, 0.5554506530489671f, 0.5554905143156967f, 0.5555303743059390f,
  0.5555702330196022f, 0.5556100904565949f, 0.5556499466168254f, 0.5556898015002021f,
  0.5557296551066334f, 0.5557695074360279f, 0.5558093584882937f, 0.5558492082633396f,
  0.5558890567610738f, 0.5559289039814047f, 0.5559687499242409f, 0.5560085945894908f,
  0.5560484379770627f, 0.5560882800868651f, 0.5561281209188065f, 0.5561679604727953f,
  0.5562077987487399f, 0.5562476357465489f, 0.5562874714661308f, 0.5563273059073938f,
  0.5563671390702464f, 0.5564069709545973f, 0.5564468015603549f, 0.5564866308874274f,
  0.5565264589357236f, 0.5565662857051520f, 0.5566061111956206f, 0.5566459354070386f,
  0.5566857583393139f, 0.5567255799923553f, 0.5567654003660710f, 0.5568052194603698f,
  0.5568450372751601f, 0.5568848538103502f, 0.5569246690658490f, 0.5569644830415649f,
  0.5570042957374060f, 0.5570441071532812f, 0.5570839172890991f, 0.5571237261447679f,
  0.5571635337201962f, 0.5572033400152928f, 0.5572431450299660f, 0.5572829487641241f,
  0.5573227512176762f, 0.5573625523905303f, 0.5574023522825953f, 0.5574421508937795f,
  0.5574819482239916f, 0.5575217442731401f, 0.5575615390411334f, 0.5576013325278804f,
  0.5576411247332894f, 0.5576809156572688f, 0.5577207052997277f, 0.5577604936605742f,
  0.5578002807397171f, 0.5578400665370647f, 0.5578798510525259f, 0.5579196342860092f,
  0.5579594162374230f, 0.5579991969066760f, 0.5580389762936768f, 0.5580787543983340f,
  0.5581185312205561f, 0.5581583067602518f, 0.5581980810173297f, 0.5582378539916982f,
  0.5582776256832663f, 0.5583173960919423f, 0.5583571652176348f, 0.5583969330602525f,
  0.5584366996197041f, 0.5584764648958981f, 0.5585162288887430f, 0.5585559915981477f,
  0.5585957530240208f, 0.5586355131662706f, 0.5586752720248062f, 0.5587150295995359f,
  0.5587547858903683f, 0.5587945408972124f, 0.5588342946199765f, 0.5588740470585695f,
  0.5589137982128998f, 0.5589535480828761f, 0.5589932966684074f, 0.5590330439694018f,
  0.5590727899857685f, 0.5591125347174158f, 0.5591522781642526f, 0.5591920203261873f,
  0.5592317612031289f, 0.5592715007949859f, 0.5593112391016669f, 0.5593509761230807f,
  0.5593907118591361f, 0.5594304463097415f, 0.5594701794748058f, 0.5595099113542378f,
  0.5595496419479459f, 0.5595893712558389f, 0.5596290992778256f, 0.5596688260138146f,
  0.5597085514637147f, 0.5597482756274347f, 0.5597879985048831f, 0.5598277200959687f,
  0.5598674404006002f, 0.5599071594186865f, 0.5599468771501361f, 0.5599865935948578f,
  0.5600263087527604f, 0.5600660226237526f, 0.5601057352077430f, 0.5601454465046406f,
  0.5601851565143541f, 0.5602248652367920f, 0.5602645726718632f, 0.5603042788194766f,
  0.5603439836795409f, 0.5603836872519645f, 0.5604233895366567f, 0.5604630905335259f,
  0.5605027902424811f, 0.5605424886634308f, 0.5605821857962842f, 0.5606218816409496f,
  0.5606615761973360f, 0.5607012694653523f, 0.5607409614449070f, 0.5607806521359091f,
  0.5608203415382674f, 0.5608600296518907f, 0.5608997164766878f, 0.5609394020125672f,
  0.5609790862594382f, 0.5610187692172093f, 0.5610584508857892f, 0.5610981312650870f,
  0.5611378103550114f, 0.5611774881554712f, 0.5612171646663753f, 0.5612568398876325f,
  0.5612965138191516f, 0.5613361864608413f, 0.5613758578126106f, 0.5614155278743683f,
  0.5614551966460233f, 0.5614948641274843f, 0.5615345303186603f, 0.5615741952194601f,
  0.5616138588297924f, 0.5616535211495662f, 0.5616931821786906f, 0.5617328419170738f,
  0.5617725003646253f, 0.5618121575212538f, 0.5618518133868680f, 0.5618914679613769f,
  0.5619311212446895f, 0.5619707732367143f, 0.5620104239373604f, 0.5620500733465369f,
  0.5620897214641525f, 0.5621293682901158f, 0.5621690138243363f, 0.5622086580667224f,
  0.5622483010171831f, 0.5622879426756275f, 0.5623275830419644f, 0.5623672221161027f,
  0.5624068598979511f, 0.5624464963874188f, 0.5624861315844147f, 0.5625257654888476f,
  0.5625653981006266f, 0.5626050294196603f, 0.5626446594458580f, 0.5626842881791283f,
  0.5627239156193804f, 0.5627635417665231f, 0.5628031666204654f, 0.5628427901811162f,
  0.5628824124483844f, 0.5629220334221791f, 0.5629616531024092f, 0.5630012714889836f,
  0.5630408885818113f, 0.5630805043808012f, 0.5631201188858623f, 0.5631597320969036f,
  0.5631993440138341f, 0.5632389546365627f, 0.5632785639649984f, 0.5633181719990502f,
  0.5633577787386270f, 0.5633973841836379f, 0.5634369883339919f, 0.5634765911895978f,
  0.5635161927503648f, 0.5635557930162018f, 0.5635953919870179f, 0.5636349896627220f,
  0.5636745860432231f, 0.5637141811284303f, 0.5637537749182524f, 0.5637933674125988f,
  0.5638329586113782f, 0.5638725485144996f, 0.5639121371218723f, 0.5639517244334050f,
  0.5639913104490070f, 0.5640308951685873f, 0.5640704785920547f, 0.5641100607193186f,
  0.5641496415502877f, 0.5641892210848712f, 0.5642287993229782f, 0.5642683762645176f,
  0.5643079519093986f, 0.5643475262575304f, 0.5643870993088217f, 0.5644266710631816f,
  0.5644662415205195f, 0.5645058106807441f, 0.5645453785437647f, 0.5645849451094903f,
  0.5646245103778301f, 0.5646640743486929f, 0.5647036370219880f, 0.5647431983976245f,
  0.5647827584755115f, 0.5648223172555579f, 0.5648618747376729f, 0.5649014309217657f,
  0.5649409858077452f, 0.5649805393955208f, 0.5650200916850013f, 0.5650596426760961f,
  0.5650991923687140f, 0.5651387407627644f, 0.5651782878581563f, 0.5652178336547986f,
  0.5652573781526008f, 0.5652969213514719f, 0.5653364632513209f, 0.5653760038520572f,
  0.5654155431535897f, 0.5654550811558277f, 0.5654946178586800f, 0.5655341532620562f,
  0.5655736873658653f, 0.5656132201700164f, 0.5656527516744185f, 0.5656922818789811f,
  0.5657318107836131f, 0.5657713383882239f, 0.5658108646927225f, 0.5658503896970180f,
  0.5658899134010196f, 0.5659294358046366f, 0.5659689569077782f, 0.5660084767103534f,
  0.5660479952122714f, 0.5660875124134417f, 0.5661270283137733f, 0.5661665429131751f,
  0.5662060562115567f, 0.5662455682088272f, 0.5662850789048957f, 0.5663245882996716f,
  0.5663640963930638f, 0.5664036031849817f, 0.5664431086753347f, 0.5664826128640318f,
  0.5665221157509821f, 0.5665616173360950f, 0.5666011176192798f, 0.5666406166004456f,
  0.5666801142795016f, 0.5667196106563572f, 0.5667591057309215f, 0.5667985995031039f,
  0.5668380919728133f, 0.5668775831399593f, 0.5669170730044510f, 0.5669565615661977f,
  0.5669960488251087f, 0.5670355347810931f, 0.5670750194340602f, 0.5671145027839195f,
  0.5671539848305801f, 0.5671934655739512f, 0.5672329450139422f, 0.5672724231504622f,
  0.5673118999834208f, 0.5673513755127270f, 0.5673908497382901f, 0.5674303226600196f,
  0.5674697942778245f, 0.5675092645916144f, 0.5675487336012985f, 0.5675882013067860f,
  0.5676276677079862f, 0.5676671328048086f, 0.5677065965971623f, 0.5677460590849567f,
  0.5677855202681011f, 0.5678249801465050f, 0.5678644387200774f, 0.5679038959887278f,
  0.5679433519523656f, 0.5679828066109001f, 0.5680222599642404f, 0.5680617120122960f,
  0.5681011627549765f, 0.5681406121921908f, 0.5681800603238486f, 0.5682195071498590f,
  0.5682589526701316f, 0.5682983968845754f, 0.5683378397931002f, 0.5683772813956151f,
  0.5684167216920293f, 0.5684561606822526f, 0.5684955983661940f, 0.5685350347437632f,
  0.5685744698148691f, 0.5686139035794217f, 0.5686533360373299f, 0.5686927671885031f,
  0.5687321970328511f, 0.5687716255702829f, 0.5688110528007080f, 0.5688504787240358f,
  0.5688899033401759f, 0.5689293266490374f, 0.5689687486505298f, 0.5690081693445626f,
  0.5690475887310451f, 0.5690870068098868f, 0.5691264235809971f, 0.5691658390442854f,
  0.5692052531996612f, 0.5692446660470338f, 0.5692840775863127f, 0.5693234878174075f,
  0.5693628967402272f, 0.5694023043546818f, 0.5694417106606803f, 0.5694811156581322f,
  0.5695205193469471f, 0.5695599217270345f, 0.5695993227983038f, 0.5696387225606643f,
  0.5696781210140256f, 0.5697175181582972f, 0.5697569139933885f, 0.5697963085192089f,
  0.5698357017356680f, 0.5698750936426752f, 0.5699144842401401f, 0.5699538735279721f,
  0.5699932615060807f, 0.5700326481743752f, 0.5700720335327654f, 0.5701114175811606f,
  0.5701508003194703f, 0.5701901817476042f, 0.5702295618654716f, 0.5702689406729819f,
  0.5703083181700449f, 0.5703476943565701f, 0.5703870692324667f, 0.5704264427976445f,
  0.5704658150520130f, 0.5705051859954816f, 0.5705445556279599f, 0.5705839239493574f,
  0.5706232909595838f, 0.5706626566585484f, 0.5707020210461607f, 0.5707413841223306f,
  0.5707807458869673f, 0.5708201063399805f, 0.5708594654812796f, 0.5708988233107745f,
  0.5709381798283745f, 0.5709775350339890f, 0.5710168889275279f, 0.5710562415089007f,
  0.5710955927780167f, 0.5711349427347858f, 0.5711742913791175f, 0.5712136387109211f,
  0.5712529847301067f, 0.5712923294365834f, 0.5713316728302610f, 0.5713710149110490f,
  0.5714103556788572f, 0.5714496951335951f, 0.5714890332751721f, 0.5715283701034981f,
  0.5715677056184826f, 0.5716070398200350f, 0.5716463727080652f, 0.5716857042824828f,
  0.5717250345431972f, 0.5717643634901181f, 0.5718036911231553f, 0.5718430174422182f,
  0.5718823424472166f, 0.5719216661380601f, 0.5719609885146582f, 0.5720003095769206f,
  0.5720396293247570f, 0.5720789477580771f, 0.5721182648767905f, 0.5721575806808067f,
  0.5721968951700356f, 0.5722362083443867f, 0.5722755202037696f, 0.5723148307480942f,
  0.5723541399772699f, 0.5723934478912066f, 0.5724327544898138f, 0.5724720597730013f,
  0.5725113637406788f, 0.5725506663927556f, 0.5725899677291421f, 0.5726292677497473f,
  0.5726685664544813f, 0.5727078638432535f, 0.5727471599159739f, 0.5727864546725520f,
  0.5728257481128975f, 0.5728650402369203f, 0.5729043310445299f, 0.5729436205356361f,
  0.5729829087101486f, 0.5730221955679771f, 0.5730614811090314f, 0.5731007653332211f,
  0.5731400482404559f, 0.5731793298306459f, 0.5732186101037002f, 0.5732578890595292f,
  0.5732971666980422f, 0.5733364430191490f, 0.5733757180227596f, 0.5734149917087834f,
  0.5734542640771304f, 0.5734935351277103f, 0.5735328048604327f, 0.5735720732752077f,
  0.5736113403719446f, 0.5736506061505535f, 0.5736898706109441f, 0.5737291337530263f,
  0.5737683955767096f, 0.5738076560819039f, 0.5738469152685189f, 0.5738861731364646f,
  0.5739254296856507f, 0.5739646849159870f, 0.5740039388273831f, 0.5740431914197490f,
  0.5740824426929945f, 0.5741216926470293f, 0.5741609412817632f, 0.5742001885971062f,
  0.5742394345929679f, 0.5742786792692581f, 0.5743179226258869f, 0.5743571646627638f,
  0.5743964053797987f, 0.5744356447769016f, 0.5744748828539822f, 0.5745141196109503f,
  0.5745533550477158f, 0.5745925891641885f, 0.5746318219602783f, 0.5746710534358949f,
  0.5747102835909483f, 0.5747495124253484f, 0.5747887399390049f, 0.5748279661318276f,
  0.5748671910037267f, 0.5749064145546118f, 0.5749456367843926f, 0.5749848576929794f,
  0.5750240772802817f, 0.5750632955462095f, 0.5751025124906728f, 0.5751417281135814f,
  0.5751809424148452f, 0.5752201553943739f, 0.5752593670520777f, 0.5752985773878663f,
  0.5753377864016495f, 0.5753769940933374f, 0.5754162004628400f, 0.5754554055100669f,
  0.5754946092349281f, 0.5755338116373337f, 0.5755730127171935f, 0.5756122124744173f,
  0.5756514109089151f, 0.5756906080205970f, 0.5757298038093726f, 0.5757689982751520f,
  0.5758081914178453f, 0.5758473832373622f, 0.5758865737336126f, 0.5759257629065067f,
  0.5759649507559542f, 0.5760041372818652f, 0.5760433224841496f, 0.5760825063627173f,
  0.5761216889174784f, 0.5761608701483427f, 0.5762000500552202f, 0.5762392286380210f,
  0.5762784058966549f, 0.5763175818310320f, 0.5763567564410622f, 0.5763959297266554f,
  0.5764351016877218f, 0.5764742723241713f, 0.5765134416359138f, 0.5765526096228593f,
  0.5765917762849178f, 0.5766309416219995f, 0.5766701056340140f, 0.5767092683208717f,
  0.5767484296824824f, 0.5767875897187561f, 0.5768267484296030f, 0.5768659058149329f,
  0.5769050618746560f, 0.5769442166086821f, 0.5769833700169213f, 0.5770225220992838f,
  0.5770616728556794f, 0.5771008222860184f, 0.5771399703902106f, 0.5771791171681662f,
  0.5772182626197949f, 0.5772574067450073f, 0.5772965495437129f, 0.5773356910158221f,
  0.5773748311612449f, 0.5774139699798913f, 0.5774531074716713f, 0.5774922436364951f,
  0.5775313784742727f, 0.5775705119849143f, 0.5776096441683297f, 0.5776487750244291f,
  0.5776879045531228f, 0.5777270327543205f, 0.5777661596279325f, 0.5778052851738690f,
  0.5778444093920400f, 0.5778835322823553f, 0.5779226538447254f, 0.5779617740790602f,
  0.5780008929852699f, 0.5780400105632646f, 0.5780791268129543f, 0.5781182417342491f,
  0.5781573553270594f, 0.5781964675912949f, 0.5782355785268661f, 0.5782746881336829f,
  0.5783137964116556f, 0.5783529033606941f, 0.5783920089807086f, 0.5784311132716095f,
  0.5784702162333066f, 0.5785093178657102f, 0.5785484181687305f, 0.5785875171422775f,
  0.5786266147862615f, 0.5786657111005925f, 0.5787048060851808f, 0.5787438997399365f,
  0.5787829920647697f, 0.5788220830595907f, 0.5788611727243096f, 0.5789002610588366f,
  0.5789393480630818f, 0.5789784337369556f, 0.5790175180803679f, 0.5790566010932290f,
  0.5790956827754491f, 0.5791347631269385f, 0.5791738421476071f, 0.5792129198373654f,
  0.5792519961961236f, 0.5792910712237916f, 0.5793301449202798f, 0.5793692172854985f,
  0.5794082883193579f, 0.5794473580217679f, 0.5794864263926393f, 0.5795254934318818f,
  0.5795645591394057f, 0.5796036235151215f, 0.5796426865589392f, 0.5796817482707691f,
  0.5797208086505214f, 0.5797598676981066f, 0.5797989254134346f, 0.5798379817964157f,
  0.5798770368469603f, 0.5799160905649786f, 0.5799551429503809f, 0.5799941940030772f,
  0.5800332437229782f, 0.5800722921099938f, 0.5801113391640343f, 0.5801503848850103f,
  0.5801894292728317f, 0.5802284723274088f, 0.5802675140486522f, 0.5803065544364719f,
  0.5803455934907784f, 0.5803846312114816f, 0.5804236675984923f, 0.5804627026517205f,
  0.5805017363710765f, 0.5805407687564708f, 0.5805797998078134f, 0.5806188295250149f,
  0.5806578579079853f, 0.5806968849566353f, 0.5807359106708749f, 0.5807749350506145f,
  0.5808139580957645f, 0.5808529798062353f, 0.5808920001819369f, 0.5809310192227800f,
  0.5809700369286748f, 0.5810090532995317f, 0.5810480683352608f, 0.5810870820357726f,
  0.5811260944009776f, 0.5811651054307859f, 0.5812041151251081f, 0.5812431234838543f,
  0.5812821305069351f, 0.5813211361942606f, 0.5813601405457415f, 0.5813991435612879f,
  0.5814381452408102f, 0.5814771455842189f, 0.5815161445914244f, 0.5815551422623368f,
  0.5815941385968669f, 0.5816331335949249f, 0.5816721272564210f, 0.5817111195812658f,
  0.5817501105693696f, 0.5817891002206430f, 0.5818280885349961f, 0.5818670755123396f,
  0.5819060611525838f, 0.5819450454556390f, 0.5819840284214158f, 0.5820230100498245f,
  0.5820619903407755f, 0.5821009692941793f, 0.5821399469099463f, 0.5821789231879870f,
  0.5822178981282117f, 0.5822568717305310f, 0.5822958439948551f, 0.5823348149210947f,
  0.5823737845091601f, 0.5824127527589619f, 0.5824517196704103f, 0.5824906852434160f,
  0.5825296494778893f, 0.5825686123737407f, 0.5826075739308807f, 0.5826465341492197f,
  0.5826854930286685f, 0.5827244505691370f, 0.5827634067705361f, 0.5828023616327761f,
  0.5828413151557676f, 0.5828802673394210f, 0.5829192181836469f, 0.5829581676883556f,
  0.5829971158534578f, 0.5830360626788638f, 0.5830750081644843f, 0.5831139523102297f,
  0.5831528951160104f, 0.5831918365817372f, 0.5832307767073205f, 0.5832697154926706f,
  0.5833086529376983f, 0.5833475890423140f, 0.5833865238064282f, 0.5834254572299514f,
  0.5834643893127943f, 0.5835033200548674f, 0.5835422494560810f, 0.5835811775163460f,
  0.5836201042355728f, 0.5836590296136717f, 0.5836979536505535f, 0.5837368763461289f,
  0.5837757977003082f, 0.5838147177130019f, 0.5838536363841209f, 0.5838925537135755f,
  0.5839314697012762f, 0.5839703843471339f, 0.5840092976510589f, 0.5840482096129620f,
  0.5840871202327534f, 0.5841260295103442f, 0.5841649374456446f, 0.5842038440385653f,
  0.5842427492890170f, 0.5842816531969102f, 0.5843205557621554f, 0.5843594569846633f,
  0.5843983568643446f, 0.5844372554011099f, 0.5844761525948696f, 0.5845150484455346f,
  0.5845539429530153f, 0.5845928361172223f, 0.5846317279380665f, 0.5846706184154584f,
  0.5847095075493085f, 0.5847483953395275f, 0.5847872817860261f, 0.5848261668887149f,
  0.5848650506475045f, 0.5849039330623056f, 0.5849428141330290f, 0.5849816938595849f,
  0.5850205722418845f, 0.5850594492798381f, 0.5850983249733566f, 0.5851371993223504f,
  0.5851760723267304f, 0.5852149439864072f, 0.5852538143012913f, 0.5852926832712937f,
  0.5853315508963249f, 0.5853704171762955f, 0.5854092821111164f, 0.5854481457006981f,
  0.5854870079449515f, 0.5855258688437870f, 0.5855647283971156f, 0.5856035866048478f,
  0.5856424434668944f, 0.5856812989831661f, 0.5857201531535736f, 0.5857590059780277f,
  0.5857978574564389f, 0.5858367075887181f, 0.5858755563747760f, 0.5859144038145232f,
  0.5859532499078706f, 0.5859920946547289f, 0.5860309380550087f, 0.5860697801086210f,
  0.5861086208154764f, 0.5861474601754856f, 0.5861862981885593f, 0.5862251348546084f,
  0.5862639701735436f, 0.5863028041452756f, 0.5863416367697153f, 0.5863804680467734f,
  0.5864192979763606f, 0.5864581265583876f, 0.5864969537927655f, 0.5865357796794047f,
  0.5865746042182162f, 0.5866134274091107f, 0.5866522492519991f, 0.5866910697467921f,
  0.5867298888934004f, 0.5867687066917351f, 0.5868075231417066f, 0.5868463382432260f,
  0.5868851519962039f, 0.5869239644005513f, 0.5869627754561788f, 0.5870015851629975f,
  0.5870403935209180f, 0.5870792005298512f, 0.5871180061897078f, 0.5871568105003988f,
  0.5871956134618349f, 0.5872344150739269f, 0.5872732153365859f, 0.5873120142497226f,
  0.5873508118132477f, 0.5873896080270721f, 0.5874284028911068f, 0.5874671964052625f,
  0.5875059885694500f, 0.5875447793835804f, 0.5875835688475645f, 0.5876223569613128f,
  0.5876611437247367f, 0.5876999291377467f, 0.5877387132002538f, 0.5877774959121690f,
  0.5878162772734029f, 0.5878550572838667f, 0.5878938359434709f, 0.5879326132521268f,
  0.5879713892097450f, 0.5880101638162365f, 0.5880489370715123f, 0.5880877089754831f,
  0.5881264795280600f, 0.5881652487291535f, 0.5882040165786752f, 0.5882427830765354f,
  0.5882815482226452f, 0.5883203120169158f, 0.5883590744592577f, 0.5883978355495820f,
  0.5884365952877998f, 0.5884753536738219f, 0.5885141107075591f, 0.5885528663889223f,
  0.5885916207178229f, 0.5886303736941714f, 0.5886691253178788f, 0.5887078755888563f,
  0.5887466245070145f, 0.5887853720722648f, 0.5888241182845176f, 0.5888628631436844f,
  0.5889016066496758f, 0.5889403488024030f, 0.5889790896017768f, 0.5890178290477084f,
  0.5890565671401085f, 0.5890953038788882f, 0.5891340392639586f, 0.5891727732952305f,
  0.5892115059726150f, 0.5892502372960231f, 0.5892889672653657f, 0.5893276958805539f,
  0.5893664231414988f, 0.5894051490481111f, 0.5894438736003020f, 0.5894825967979826f,
  0.5895213186410639f, 0.5895600391294568f, 0.5895987582630722f, 0.5896374760418215f,
  0.5896761924656154f, 0.5897149075343650f, 0.5897536212479815f, 0.5897923336063757f,
  0.5898310446094589f, 0.5898697542571418f, 0.5899084625493358f, 0.5899471694859519f,
  0.5899858750669009f, 0.5900245792920941f, 0.5900632821614424f, 0.5901019836748570f,
  0.5901406838322488f, 0.5901793826335292f, 0.5902180800786089f, 0.5902567761673990f,
  0.5902954708998108f, 0.5903341642757554f, 0.5903728562951436f, 0.5904115469578868f,
  0.5904502362638958f, 0.5904889242130820f, 0.5905276108053561f, 0.5905662960406296f,
  0.5906049799188134f, 0.5906436624398187f, 0.5906823436035565f, 0.5907210234099380f,
  0.5907597018588742f, 0.5907983789502763f, 0.5908370546840556f, 0.5908757290601230f,
  0.5909144020783895f, 0.5909530737387665f, 0.5909917440411652f, 0.5910304129854963f,
  0.5910690805716714f, 0.5911077467996014f, 0.5911464116691976f, 0.5911850751803710f,
  0.5912237373330329f, 0.5912623981270944f, 0.5913010575624664f, 0.5913397156390604f,
  0.5913783723567876f, 0.5914170277155588f, 0.5914556817152856f, 0.5914943343558789f,
  0.5915329856372500f, 0.5915716355593099f, 0.5916102841219701f, 0.5916489313251416f,
  0.5916875771687354f, 0.5917262216526631f, 0.5917648647768357f, 0.5918035065411642f,
  0.5918421469455601f, 0.5918807859899345f, 0.5919194236741987f, 0.5919580599982637f,
  0.5919966949620410f, 0.5920353285654415f, 0.5920739608083766f, 0.5921125916907576f,
  0.5921512212124955f, 0.5921898493735018f, 0.5922284761736875f, 0.5922671016129639f,
  0.5923057256912424f, 0.5923443484084341f, 0.5923829697644503f, 0.5924215897592021f,
  0.5924602083926008f, 0.5924988256645579f, 0.5925374415749846f, 0.5925760561237918f,
  0.5926146693108911f, 0.5926532811361938f, 0.5926918915996110f, 0.5927305007010539f,
  0.5927691084404341f, 0.5928077148176626f, 0.5928463198326507f, 0.5928849234853099f,
  0.5929235257755513f, 0.5929621267032863f, 0.5930007262684260f, 0.5930393244708820f,
  0.5930779213105655f, 0.5931165167873876f, 0.5931551109012598f, 0.5931937036520935f,
  0.5932322950397998f, 0.5932708850642902f, 0.5933094737254758f, 0.5933480610232682f,
  0.5933866469575785f, 0.5934252315283181f, 0.5934638147353984f, 0.5935023965787307f,
  0.5935409770582264f, 0.5935795561737967f, 0.5936181339253531f, 0.5936567103128068f,
  0.5936952853360692f, 0.5937338589950518f, 0.5937724312896657f, 0.5938110022198225f,
  0.5938495717854336f, 0.5938881399864101f, 0.5939267068226636f, 0.5939652722941053f,
  0.5940038364006468f, 0.5940423991421991f, 0.5940809605186741f, 0.5941195205299828f,
  0.5941580791760368f, 0.5941966364567474f, 0.5942351923720260f, 0.5942737469217840f,
  0.5943123001059328f, 0.5943508519243839f, 0.5943894023770486f, 0.5944279514638382f,
  0.5944664991846644f, 0.5945050455394385f, 0.5945435905280718f, 0.5945821341504760f,
  0.5946206764065622f, 0.5946592172962422f, 0.5946977568194269f, 0.5947362949760283f,
  0.5947748317659576f, 0.5948133671891260f, 0.5948519012454455f, 0.5948904339348271f,
  0.5949289652571825f, 0.5949674952124229f, 0.5950060238004601f, 0.5950445510212052f,
  0.5950830768745700f, 0.5951216013604658f, 0.5951601244788040f, 0.5951986462294961f,
  0.5952371666124538f, 0.5952756856275885f, 0.5953142032748115f, 0.5953527195540343f,
  0.5953912344651687f, 0.5954297480081259f, 0.5954682601828174f, 0.5955067709891549f,
  0.5955452804270498f, 0.5955837884964136f, 0.5956222951971577f, 0.5956608005291938f,
  0.5956993044924334f, 0.5957378070867878f, 0.5957763083121688f, 0.5958148081684879f,
  0.5958533066556563f, 0.5958918037735859f, 0.5959302995221881f, 0.5959687939013745f,
  0.5960072869110565f, 0.5960457785511458f, 0.5960842688215539f, 0.5961227577221923f,
  0.5961612452529725f, 0.5961997314138062f, 0.5962382162046049f, 0.5962766996252803f,
  0.5963151816757437f, 0.5963536623559069f, 0.5963921416656813f, 0.5964306196049786f,
  0.5964690961737104f, 0.5965075713717880f, 0.5965460451991234f, 0.5965845176556279f,
  0.5966229887412133f, 0.5966614584557910f, 0.5966999267992728f, 0.5967383937715700f,
  0.5967768593725944f, 0.5968153236022578f, 0.5968537864604715f, 0.5968922479471471f,
  0.5969307080621965f, 0.5969691668055311f, 0.5970076241770625f, 0.5970460801767026f,
  0.5970845348043627f, 0.5971229880599547f, 0.5971614399433899f, 0.5971998904545803f,
  0.5972383395934374f, 0.5972767873598729f, 0.5973152337537982f, 0.5973536787751254f,
  0.5973921224237657f, 0.5974305646996310f, 0.5974690056026328f, 0.5975074451326831f,
  0.5975458832896932f, 0.5975843200735750f, 0.5976227554842402f, 0.5976611895216002f,
  0.5976996221855668f, 0.5977380534760519f, 0.5977764833929670f, 0.5978149119362237f,
  0.5978533391057339f, 0.5978917649014092f, 0.5979301893231612f, 0.5979686123709018f,
  0.5980070340445427f, 0.5980454543439955f, 0.5980838732691718f, 0.5981222908199835f,
  0.5981607069963423f, 0.5981991217981598f, 0.5982375352253479f, 0.5982759472778183f,
  0.5983143579554826f, 0.5983527672582526f, 0.5983911751860401f, 0.5984295817387568f,
  0.5984679869163143f, 0.5985063907186245f, 0.5985447931455993f, 0.5985831941971501f,
  0.5986215938731889f, 0.5986599921736274f, 0.5986983890983774f, 0.5987367846473505f,
  0.5987751788204587f, 0.5988135716176137f, 0.5988519630387271f, 0.5988903530837110f,
  0.5989287417524769f, 0.5989671290449367f, 0.5990055149610021f, 0.5990438995005850f,
  0.5990822826635973f, 0.5991206644499505f, 0.5991590448595566f, 0.5991974238923274f,
  0.5992358015481746f, 0.5992741778270101f, 0.5993125527287457f, 0.5993509262532933f,
  0.5993892984005645f, 0.5994276691704713f, 0.5994660385629256f, 0.5995044065778389f,
  0.5995427732151234f, 0.5995811384746907f, 0.5996195023564527f, 0.5996578648603212f,
  0.5996962259862083f, 0.5997345857340255f, 0.5997729441036848f, 0.5998113010950982f,
  0.5998496567081772f, 0.5998880109428339f, 0.5999263637989803f, 0.5999647152765281f,
  0.6000030653753891f, 0.6000414140954752f, 0.6000797614366984f, 0.6001181073989704f,
  0.6001564519822032f, 0.6001947951863088f, 0.6002331370111990f, 0.6002714774567854f,
  0.6003098165229804f, 0.6003481542096956f, 0.6003864905168429f, 0.6004248254443343f,
  0.6004631589920816f, 0.6005014911599968f, 0.6005398219479918f, 0.6005781513559786f,
  0.6006164793838690f, 0.6006548060315748f, 0.6006931312990083f, 0.6007314551860811f,
  0.6007697776927052f, 0.6008080988187926f, 0.6008464185642554f, 0.6008847369290052f,
  0.6009230539129541f, 0.6009613695160141f, 0.6009996837380972f, 0.6010379965791153f,
  0.6010763080389802f, 0.6011146181176039f, 0.6011529268148987f, 0.6011912341307761f,
  0.6012295400651485f, 0.6012678446179276f, 0.6013061477890255f, 0.6013444495783541f,
  0.6013827499858254f, 0.6014210490113514f, 0.6014593466548441f, 0.6014976429162155f,
  0.6015359377953777f, 0.6015742312922424f, 0.6016125234067219f, 0.6016508141387281f,
  0.6016891034881731f, 0.6017273914549687f, 0.6017656780390270f, 0.6018039632402602f,
  0.6018422470585800f, 0.6018805294938988f, 0.6019188105461284f, 0.6019570902151807f,
  0.6019953685009680f, 0.6020336454034023f, 0.6020719209223956f, 0.6021101950578599f,
  0.6021484678097072f, 0.6021867391778497f, 0.6022250091621993f, 0.6022632777626683f,
  0.6023015449791685f, 0.6023398108116121f, 0.6023780752599112f, 0.6024163383239777f,
  0.6024546000037238f, 0.6024928602990615f, 0.6025311192099030f, 0.6025693767361603f,
  0.6026076328777454f, 0.6026458876345707f, 0.6026841410065480f, 0.6027223929935895f,
  0.6027606435956072f, 0.6027988928125133f, 0.6028371406442200f, 0.6028753870906391f,
  0.6029136321516830f, 0.6029518758272638f, 0.6029901181172935f, 0.6030283590216843f,
  0.6030665985403482f, 0.6031048366731975f, 0.6031430734201441f, 0.6031813087811004f,
  0.6032195427559784f, 0.6032577753446902f, 0.6032960065471481f, 0.6033342363632641f,
  0.6033724647929504f, 0.6034106918361191f, 0.6034489174926825f, 0.6034871417625526f,
  0.6035253646456415f, 0.6035635861418617f, 0.6036018062511251f, 0.6036400249733439f,
  0.6036782423084304f, 0.6037164582562966f, 0.6037546728168548f, 0.6037928859900171f,
  0.6038310977756959f, 0.6038693081738031f, 0.6039075171842511f, 0.6039457248069520f,
  0.6039839310418180f, 0.6040221358887614f, 0.6040603393476942f, 0.6040985414185289f,
  0.6041367421011775f, 0.6041749413955523f, 0.6042131393015655f, 0.6042513358191294f,
  0.6042895309481560f, 0.6043277246885578f, 0.6043659170402469f, 0.6044041080031355f,
  0.6044422975771359f, 0.6044804857621604f, 0.6045186725581211f, 0.6045568579649303f,
  0.6045950419825004f, 0.6046332246107434f, 0.6046714058495718f, 0.6047095856988977f,
  0.6047477641586334f, 0.6047859412286912f, 0.6048241169089833f, 0.6048622911994221f,
  0.6049004640999198f, 0.6049386356103886f, 0.6049768057307411f, 0.6050149744608893f,
  0.6050531418007454f, 0.6050913077502219f, 0.6051294723092311f, 0.6051676354776852f,
  0.6052057972554965f, 0.6052439576425774f, 0.6052821166388402f, 0.6053202742441971f,
  0.6053584304585605f, 0.6053965852818427f, 0.6054347387139561f, 0.6054728907548129f,
  0.6055110414043255f, 0.6055491906624062f, 0.6055873385289673f, 0.6056254850039213f,
  0.6056636300871804f, 0.6057017737786570f, 0.6057399160782633f, 0.6057780569859119f,
  0.6058161965015150f, 0.6058543346249849f, 0.6058924713562341f, 0.6059306066951750f,
  0.6059687406417197f, 0.6060068731957808f, 0.6060450043572708f, 0.6060831341261018f,
  0.6061212625021861f, 0.6061593894854365f, 0.6061975150757650f, 0.6062356392730842f,
  0.6062737620773064f, 0.6063118834883441f, 0.6063500035061096f, 0.6063881221305152f,
  0.6064262393614736f, 0.6064643551988970f, 0.6065024696426976f, 0.6065405826927883f,
  0.6065786943490813f, 0.6066168046114889f, 0.6066549134799237f, 0.6066930209542981f,
  0.6067311270345246f, 0.6067692317205152f, 0.6068073350121829f, 0.6068454369094398f,
  0.6068835374121985f, 0.6069216365203713f, 0.6069597342338710f, 0.6069978305526095f,
  0.6070359254764996f, 0.6070740190054539f, 0.6071121111393846f, 0.6071502018782041f,
  0.6071882912218252f, 0.6072263791701601f, 0.6072644657231213f, 0.6073025508806215f,
  0.6073406346425729f, 0.6073787170088881f, 0.6074167979794796f, 0.6074548775542600f,
  0.6074929557331415f, 0.6075310325160369f, 0.6075691079028587f, 0.6076071818935191f,
  0.6076452544879308f, 0.6076833256860064f, 0.6077213954876584f, 0.6077594638927991f,
  0.6077975309013411f, 0.6078355965131971f, 0.6078736607282795f, 0.6079117235465008f,
  0.6079497849677736f, 0.6079878449920105f, 0.6080259036191239f, 0.6080639608490264f,
  0.6081020166816304f, 0.6081400711168488f, 0.6081781241545938f, 0.6082161757947782f,
  0.6082542260373145f, 0.6082922748821150f, 0.6083303223290927f, 0.6083683683781599f,
  0.6084064130292293f, 0.6084444562822132f, 0.6084824981370246f, 0.6085205385935758f,
  0.6085585776517795f, 0.6085966153115481f, 0.6086346515727945f, 0.6086726864354309f,
  0.6087107198993703f, 0.6087487519645252f, 0.6087867826308080f, 0.6088248118981314f,
  0.6088628397664082f, 0.6089008662355507f, 0.6089388913054717f, 0.6089769149760840f,
  0.6090149372472998f, 0.6090529581190320f, 0.6090909775911932f, 0.6091289956636960f,
  0.6091670123364532f, 0.6092050276093771f, 0.6092430414823806f, 0.6092810539553764f,
  0.6093190650282768f, 0.6093570747009948f, 0.6093950829734429f, 0.6094330898455339f,
  0.6094710953171802f, 0.6095090993882948f, 0.6095471020587901f, 0.6095851033285788f,
  0.6096231031975737f, 0.6096611016656874f, 0.6096990987328327f, 0.6097370943989221f,
  0.6097750886638684f, 0.6098130815275843f, 0.6098510729899823f, 0.6098890630509753f,
  0.6099270517104761f, 0.6099650389683972f, 0.6100030248246513f, 0.6100410092791513f,
  0.6100789923318097f, 0.6101169739825393f, 0.6101549542312529f, 0.6101929330778630f,
  0.6102309105222826f, 0.6102688865644244f, 0.6103068612042009f, 0.6103448344415250f,
  0.6103828062763095f, 0.6104207767084670f, 0.6104587457379103f, 0.6104967133645521f,
  0.6105346795883053f, 0.6105726444090825f, 0.6106106078267965f, 0.6106485698413602f,
  0.6106865304526863f, 0.6107244896606874f, 0.6107624474652763f, 0.6108004038663660f,
  0.6108383588638692f, 0.6108763124576985f, 0.6109142646477669f, 0.6109522154339870f,
  0.6109901648162717f, 0.6110281127945338f, 0.6110660593686862f, 0.6111040045386416f,
  0.6111419483043126f, 0.6111798906656122f, 0.6112178316224534f, 0.6112557711747486f,
  0.6112937093224109f, 0.6113316460653532f, 0.6113695814034880f, 0.6114075153367283f,
  0.6114454478649870f, 0.6114833789881770f, 0.6115213087062108f, 0.6115592370190015f,
  0.6115971639264619f, 0.6116350894285048f, 0.6116730135250431f, 0.6117109362159897f,
  0.6117488575012574f, 0.6117867773807589f, 0.6118246958544074f, 0.6118626129221154f,
  0.6119005285837961f, 0.6119384428393621f, 0.6119763556887264f, 0.6120142671318018f,
  0.6120521771685015f, 0.6120900857987380f, 0.6121279930224244f, 0.6121658988394734f,
  0.6122038032497980f, 0.6122417062533112f, 0.6122796078499256f, 0.6123175080395545f,
  0.6123554068221106f, 0.6123933041975069f, 0.6124312001656561f, 0.6124690947264714f,
  0.6125069878798656f, 0.6125448796257514f, 0.6125827699640420f, 0.6126206588946504f,
  0.6126585464174893f, 0.6126964325324717f, 0.6127343172395107f, 0.6127722005385190f,
  0.6128100824294097f, 0.6128479629120958f, 0.6128858419864900f, 0.6129237196525055f,
  0.6129615959100552f, 0.6129994707590519f, 0.6130373441994089f, 0.6130752162310388f,
  0.6131130868538549f, 0.6131509560677699f, 0.6131888238726970f, 0.6132266902685490f,
  0.6132645552552390f, 0.6133024188326800f, 0.6133402810007850f, 0.6133781417594668f,
  0.6134160011086387f, 0.6134538590482134f, 0.6134917155781041f, 0.6135295706982238f,
  0.6135674244084853f, 0.6136052767088019f, 0.6136431275990866f, 0.6136809770792521f,
  0.6137188251492117f, 0.6137566718088785f, 0.6137945170581653f, 0.6138323608969852f,
  0.6138702033252513f, 0.6139080443428767f, 0.6139458839497742f, 0.6139837221458572f,
  0.6140215589310384f, 0.6140593943052310f, 0.6140972282683481f, 0.6141350608203028f,
  0.6141728919610080f, 0.6142107216903768f, 0.6142485500083223f, 0.6142863769147577f,
  0.6143242024095960f, 0.6143620264927501f, 0.6143998491641333f, 0.6144376704236586f,
  0.6144754902712390f, 0.6145133087067879f, 0.6145511257302181f, 0.6145889413414427f,
  0.6146267555403750f, 0.6146645683269280f, 0.6147023797010147f, 0.6147401896625484f,
  0.6147779982114421f, 0.6148158053476089f, 0.6148536110709620f, 0.6148914153814146f,
  0.6149292182788796f, 0.6149670197632702f, 0.6150048198344997f, 0.6150426184924811f,
  0.6150804157371276f, 0.6151182115683521f, 0.6151560059860681f, 0.6151937989901887f,
  0.6152315905806268f, 0.6152693807572958f, 0.6153071695201088f, 0.6153449568689788f,
  0.6153827428038192f, 0.6154205273245431f, 0.6154583104310637f, 0.6154960921232940f,
  0.6155338724011473f, 0.6155716512645369f, 0.6156094287133758f, 0.6156472047475773f,
  0.6156849793670546f, 0.6157227525717208f, 0.6157605243614891f, 0.6157982947362728f,
  0.6158360636959851f, 0.6158738312405390f, 0.6159115973698480f, 0.6159493620838252f,
  0.6159871253823838f, 0.6160248872654371f, 0.6160626477328982f, 0.6161004067846805f,
  0.6161381644206969f, 0.6161759206408610f, 0.6162136754450859f, 0.6162514288332848f,
  0.6162891808053710f, 0.6163269313612577f, 0.6163646805008582f, 0.6164024282240858f,
  0.6164401745308536f, 0.6164779194210750f, 0.6165156628946632f, 0.6165534049515314f,
  0.6165911455915931f, 0.6166288848147614f, 0.6166666226209496f, 0.6167043590100710f,
  0.6167420939820388f, 0.6167798275367664f, 0.6168175596741671f, 0.6168552903941541f,
  0.6168930196966407f, 0.6169307475815403f, 0.6169684740487662f, 0.6170061990982315f,
  0.6170439227298498f, 0.6170816449435341f, 0.6171193657391981f, 0.6171570851167547f,
  0.6171948030761176f, 0.6172325196171999f, 0.6172702347399149f, 0.6173079484441761f,
  0.6173456607298968f, 0.6173833715969903f, 0.6174210810453699f, 0.6174587890749490f,
  0.6174964956856409f, 0.6175342008773589f, 0.6175719046500165f, 0.6176096070035272f,
  0.6176473079378039f, 0.6176850074527603f, 0.6177227055483098f, 0.6177604022243656f,
  0.6177980974808410f, 0.6178357913176498f, 0.6178734837347049f, 0.6179111747319198f,
  0.6179488643092081f, 0.6179865524664832f, 0.6180242392036582f, 0.6180619245206467f,
  0.6180996084173620f, 0.6181372908937177f, 0.6181749719496269f, 0.6182126515850033f,
  0.6182503297997602f, 0.6182880065938109f, 0.6183256819670691f, 0.6183633559194480f,
  0.6184010284508611f, 0.6184386995612217f, 0.6184763692504435f, 0.6185140375184397f,
  0.6185517043651237f, 0.6185893697904093f, 0.6186270337942097f, 0.6186646963764383f,
  0.6187023575370085f, 0.6187400172758341f, 0.6187776755928283f, 0.6188153324879044f,
  0.6188529879609763f, 0.6188906420119572f, 0.6189282946407605f, 0.6189659458472999f,
  0.6190035956314887f, 0.6190412439932405f, 0.6190788909324686f, 0.6191165364490868f,
  0.6191541805430084f, 0.6191918232141468f, 0.6192294644624157f, 0.6192671042877285f,
  0.6193047426899987f, 0.6193423796691399f, 0.6193800152250655f, 0.6194176493576891f,
  0.6194552820669240f, 0.6194929133526840f, 0.6195305432148825f, 0.6195681716534331f,
  0.6196057986682493f, 0.6196434242592447f, 0.6196810484263326f, 0.6197186711694267f,
  0.6197562924884407f, 0.6197939123832878f, 0.6198315308538819f, 0.6198691479001364f,
  0.6199067635219647f, 0.6199443777192806f, 0.6199819904919976f, 0.6200196018400294f,
  0.6200572117632892f, 0.6200948202616908f, 0.6201324273351478f, 0.6201700329835739f,
  0.6202076372068824f, 0.6202452400049870f, 0.6202828413778014f, 0.6203204413252392f,
  0.6203580398472137f, 0.6203956369436389f, 0.6204332326144282f, 0.6204708268594951f,
  0.6205084196787534f, 0.6205460110721166f, 0.6205836010394983f, 0.6206211895808122f,
  0.6206587766959721f, 0.6206963623848913f, 0.6207339466474835f, 0.6207715294836625f,
  0.6208091108933419f, 0.6208466908764351f, 0.6208842694328560f, 0.6209218465625181f,
  0.6209594222653352f, 0.6209969965412209f, 0.6210345693900887f, 0.6210721408118525f,
  0.6211097108064256f, 0.6211472793737222f, 0.6211848465136556f, 0.6212224122261394f,
  0.6212599765110876f, 0.6212975393684137f, 0.6213351007980313f, 0.6213726607998542f,
  0.6214102193737961f, 0.6214477765197707f, 0.6214853322376915f, 0.6215228865274725f,
  0.6215604393890273f, 0.6215979908222693f, 0.6216355408271127f, 0.6216730894034709f,
  0.6217106365512578f, 0.6217481822703869f, 0.6217857265607720f, 0.6218232694223269f,
  0.6218608108549654f, 0.6218983508586010f, 0.6219358894331476f, 0.6219734265785190f,
  0.6220109622946286f, 0.6220484965813905f, 0.6220860294387184f, 0.6221235608665259f,
  0.6221610908647268f, 0.6221986194332351f, 0.6222361465719641f, 0.6222736722808280f,
  0.6223111965597403f, 0.6223487194086149f, 0.6223862408273655f, 0.6224237608159059f,
  0.6224612793741500f, 0.6224987965020113f, 0.6225363121994040f, 0.6225738264662415f,
  0.6226113393024377f, 0.6226488507079065f, 0.6226863606825618f, 0.6227238692263172f,
  0.6227613763390863f, 0.6227988820207835f, 0.6228363862713221f, 0.6228738890906161f,
  0.6229113904785795f, 0.6229488904351258f, 0.6229863889601690f, 0.6230238860536228f,
  0.6230613817154013f, 0.6230988759454181f, 0.6231363687435871f, 0.6231738601098222f,
  0.6232113500440373f, 0.6232488385461459f, 0.6232863256160623f, 0.6233238112537002f,
  0.6233612954589733f, 0.6233987782317957f, 0.6234362595720810f, 0.6234737394797434f,
  0.6235112179546964f, 0.6235486949968543f, 0.6235861706061306f, 0.6236236447824395f,
  0.6236611175256945f, 0.6236985888358099f, 0.6237360587126994f, 0.6237735271562768f,
  0.6238109941664561f, 0.6238484597431513f, 0.6238859238862762f, 0.6239233865957446f,
  0.6239608478714707f, 0.6239983077133682f, 0.6240357661213509f, 0.6240732230953331f,
  0.6241106786352285f, 0.6241481327409509f, 0.6241855854124145f, 0.6242230366495332f,
  0.6242604864522207f, 0.6242979348203911f, 0.6243353817539584f, 0.6243728272528366f,
  0.6244102713169393f, 0.6244477139461808f, 0.6244851551404751f, 0.6245225948997358f,
  0.6245600332238772f, 0.6245974701128132f, 0.6246349055664577f, 0.6246723395847246f,
  0.6247097721675281f, 0.6247472033147821f, 0.6247846330264003f, 0.6248220613022971f,
  0.6248594881423863f, 0.6248969135465819f, 0.6249343375147981f, 0.6249717600469485f,
  0.6250091811429476f, 0.6250466008027088f, 0.6250840190261466f, 0.6251214358131749f,
  0.6251588511637076f, 0.6251962650776589f, 0.6252336775549427f, 0.6252710885954731f,
  0.6253084981991640f, 0.6253459063659296f, 0.6253833130956837f, 0.6254207183883407f,
  0.6254581222438144f, 0.6254955246620187f, 0.6255329256428680f, 0.6255703251862762f,
  0.6256077232921574f, 0.6256451199604256f, 0.6256825151909948f, 0.6257199089837793f,
  0.6257573013386929f, 0.6257946922556498f, 0.6258320817345641f, 0.6258694697753499f,
  0.6259068563779211f, 0.6259442415421921f, 0.6259816252680768f, 0.6260190075554892f,
  0.6260563884043435f, 0.6260937678145539f, 0.6261311457860345f, 0.6261685223186990f,
  0.6262058974124621f, 0.6262432710672377f, 0.6262806432829398f, 0.6263180140594824f,
  0.6263553833967800f, 0.6263927512947465f, 0.6264301177532959f, 0.6264674827723428f,
  0.6265048463518008f, 0.6265422084915844f, 0.6265795691916076f, 0.6266169284517845f,
  0.6266542862720295f, 0.6266916426522563f, 0.6267289975923795f, 0.6267663510923132f,
  0.6268037031519712f, 0.6268410537712681f, 0.6268784029501179f, 0.6269157506884346f,
  0.6269530969861327f, 0.6269904418431261f, 0.6270277852593292f, 0.6270651272346561f,
  0.6271024677690209f, 0.6271398068623381f, 0.6271771445145213f, 0.6272144807254854f,
  0.6272518154951441f, 0.6272891488234119f, 0.6273264807102027f, 0.6273638111554311f,
  0.6274011401590111f, 0.6274384677208569f, 0.6274757938408827f, 0.6275131185190029f,
  0.6275504417551315f, 0.6275877635491830f, 0.6276250839010714f, 0.6276624028107112f,
  0.6276997202780162f, 0.6277370363029011f, 0.6277743508852800f, 0.6278116640250669f,
  0.6278489757221765f, 0.6278862859765229f, 0.6279235947880202f, 0.6279609021565826f,
  0.6279982080821247f, 0.6280355125645607f, 0.6280728156038046f, 0.6281101171997711f,
  0.6281474173523740f, 0.6281847160615279f, 0.6282220133271471f, 0.6282593091491459f,
  0.6282966035274384f, 0.6283338964619390f, 0.6283711879525621f, 0.6284084779992219f,
  0.6284457666018327f, 0.6284830537603089f, 0.6285203394745648f, 0.6285576237445145f,
  0.6285949065700726f, 0.6286321879511534f, 0.6286694678876711f, 0.6287067463795400f,
  0.6287440234266747f, 0.6287812990289894f, 0.6288185731863982f, 0.6288558458988158f,
  0.6288931171661565f, 0.6289303869883344f, 0.6289676553652640f, 0.6290049222968598f,
  0.6290421877830360f, 0.6290794518237068f, 0.6291167144187870f, 0.6291539755681907f,
  0.6291912352718323f, 0.6292284935296263f, 0.6292657503414869f, 0.6293030057073286f,
  0.6293402596270656f, 0.6293775121006127f, 0.6294147631278839f, 0.6294520127087937f,
  0.6294892608432566f, 0.6295265075311871f, 0.6295637527724993f, 0.6296009965671078f,
  0.6296382389149270f, 0.6296754798158714f, 0.6297127192698552f, 0.6297499572767929f,
  0.6297871938365992f, 0.6298244289491881f, 0.6298616626144744f, 0.6298988948323724f,
  0.6299361256027965f, 0.6299733549256612f, 0.6300105828008810f, 0.6300478092283701f,
  0.6300850342080432f, 0.6301222577398148f, 0.6301594798235992f, 0.6301967004593110f,
  0.6302339196468644f, 0.6302711373861742f, 0.6303083536771548f, 0.6303455685197205f,
  0.6303827819137859f, 0.6304199938592656f, 0.6304572043560739f, 0.6304944134041254f,
  0.6305316210033346f, 0.6305688271536160f, 0.6306060318548840f, 0.6306432351070531f,
  0.6306804369100379f, 0.6307176372637530f, 0.6307548361681128f, 0.6307920336230318f,
  0.6308292296284245f, 0.6308664241842056f, 0.6309036172902894f, 0.6309408089465905f,
  0.6309779991530235f, 0.6310151879095031f, 0.6310523752159435f, 0.6310895610722593f,
  0.6311267454783653f, 0.6311639284341759f, 0.6312011099396057f, 0.6312382899945690f,
  0.6312754685989808f, 0.6313126457527554f, 0.6313498214558073f, 0.6313869957080512f,
  0.6314241685094019f, 0.6314613398597734f, 0.6314985097590808f, 0.6315356782072385f,
  0.6315728452041611f, 0.6316100107497632f, 0.6316471748439594f, 0.6316843374866642f,
  0.6317214986777923f, 0.6317586584172583f, 0.6317958167049769f, 0.6318329735408625f,
  0.6318701289248299f, 0.6319072828567935f, 0.6319444353366683f, 0.6319815863643685f,
  0.6320187359398091f, 0.6320558840629044f, 0.6320930307335692f, 0.6321301759517182f,
  0.6321673197172659f, 0.6322044620301271f, 0.6322416028902162f, 0.6322787422974483f,
  0.6323158802517376f, 0.6323530167529989f, 0.6323901518011470f, 0.6324272853960965f,
  0.6324644175377618f, 0.6325015482260580f, 0.6325386774608995f, 0.6325758052422011f,
  0.6326129315698774f, 0.6326500564438432f, 0.6326871798640131f, 0.6327243018303018f,
  0.6327614223426240f, 0.6327985414008944f, 0.6328356590050277f, 0.6328727751549386f,
  0.6329098898505418f, 0.6329470030917521f, 0.6329841148784840f, 0.6330212252106525f,
  0.6330583340881721f, 0.6330954415109576f, 0.6331325474789239f, 0.6331696519919856f,
  0.6332067550500573f, 0.6332438566530538f, 0.6332809568008899f, 0.6333180554934804f,
  0.6333551527307399f, 0.6333922485125835f, 0.6334293428389255f, 0.6334664357096809f,
  0.6335035271247643f, 0.6335406170840907f, 0.6335777055875748f, 0.6336147926351312f,
  0.6336518782266749f, 0.6336889623621206f, 0.6337260450413829f, 0.6337631262643769f,
  0.6338002060310173f, 0.6338372843412187f, 0.6338743611948960f, 0.6339114365919641f,
  0.6339485105323378f, 0.6339855830159317f, 0.6340226540426608f, 0.6340597236124399f,
  0.6340967917251837f, 0.6341338583808072f, 0.6341709235792251f, 0.6342079873203522f,
  0.6342450496041033f, 0.6342821104303934f, 0.6343191697991373f, 0.6343562277102496f,
  0.6343932841636455f, 0.6344303391592396f, 0.6344673926969469f, 0.6345044447766820f,
  0.6345414953983600f, 0.6345785445618958f, 0.6346155922672040f, 0.6346526385141997f,
  0.6346896833027977f, 0.6347267266329129f, 0.6347637685044600f, 0.6348008089173541f,
  0.6348378478715101f, 0.6348748853668427f, 0.6349119214032668f, 0.6349489559806974f,
  0.6349859890990495f, 0.6350230207582377f, 0.6350600509581772f, 0.6350970796987827f,
  0.6351341069799692f, 0.6351711328016516f, 0.6352081571637449f, 0.6352451800661638f,
  0.6352822015088234f, 0.6353192214916387f, 0.6353562400145244f, 0.6353932570773956f,
  0.6354302726801672f, 0.6354672868227541f, 0.6355042995050711f, 0.6355413107270336f,
  0.6355783204885561f, 0.6356153287895537f, 0.6356523356299415f, 0.6356893410096344f,
  0.6357263449285472f, 0.6357633473865949f, 0.6358003483836926f, 0.6358373479197552f,
  0.6358743459946977f, 0.6359113426084351f, 0.6359483377608823f, 0.6359853314519543f,
  0.6360223236815663f, 0.6360593144496330f, 0.6360963037560696f, 0.6361332916007909f,
  0.6361702779837122f, 0.6362072629047483f, 0.6362442463638140f, 0.6362812283608248f,
  0.6363182088956955f, 0.6363551879683409f, 0.6363921655786764f, 0.6364291417266168f,
  0.6364661164120772f, 0.6365030896349725f, 0.6365400613952180f, 0.6365770316927285f,
  0.6366140005274191f, 0.6366509678992051f, 0.6366879338080011f, 0.6367248982537226f,
  0.6367618612362842f, 0.6367988227556014f, 0.6368357828115890f, 0.6368727414041621f,
  0.6369096985332359f, 0.6369466541987253f, 0.6369836084005455f, 0.6370205611386115f,
  0.6370575124128386f, 0.6370944622231416f, 0.6371314105694357f, 0.6371683574516359f,
  0.6372053028696576f, 0.6372422468234156f, 0.6372791893128251f, 0.6373161303378013f,
  0.6373530698982591f, 0.6373900079941138f, 0.6374269446252805f, 0.6374638797916743f,
  0.6375008134932102f, 0.6375377457298035f, 0.6375746765013693f, 0.6376116058078226f,
  0.6376485336490788f, 0.6376854600250528f, 0.6377223849356598f, 0.6377593083808150f,
  0.6377962303604335f, 0.6378331508744306f, 0.6378700699227211f, 0.6379069875052207f,
  0.6379439036218441f, 0.6379808182725066f, 0.6380177314571235f, 0.6380546431756099f,
  0.6380915534278809f, 0.6381284622138518f, 0.6381653695334376f, 0.6382022753865538f,
  0.6382391797731153f, 0.6382760826930375f, 0.6383129841462355f, 0.6383498841326245f,
  0.6383867826521196f, 0.6384236797046362f, 0.6384605752900895f, 0.6384974694083946f,
  0.6385343620594668f, 0.6385712532432213f, 0.6386081429595732f, 0.6386450312084380f,
  0.6386819179897307f, 0.6387188033033667f, 0.6387556871492611f, 0.6387925695273292f,
  0.6388294504374863f, 0.6388663298796475f, 0.6389032078537283f, 0.6389400843596438f,
  0.6389769593973091f, 0.6390138329666397f, 0.6390507050675509f, 0.6390875756999578f,
  0.6391244448637757f, 0.6391613125589199f, 0.6391981787853058f, 0.6392350435428485f,
  0.6392719068314635f, 0.6393087686510659f, 0.6393456290015710f, 0.6393824878828941f,
  0.6394193452949507f, 0.6394562012376559f, 0.6394930557109250f, 0.6395299087146733f,
  0.6395667602488163f, 0.6396036103132692f, 0.6396404589079473f, 0.6396773060327660f,
  0.6397141516876406f, 0.6397509958724862f, 0.6397878385872184f, 0.6398246798317526f,
  0.6398615196060039f, 0.6398983579098878f, 0.6399351947433197f, 0.6399720301062148f,
  0.6400088639984884f, 0.6400456964200562f, 0.6400825273708332f, 0.6401193568507347f,
  0.6401561848596765f, 0.6401930113975738f, 0.6402298364643417f, 0.6402666600598959f,
  0.6403034821841517f, 0.6403403028370244f, 0.6403771220184294f, 0.6404139397282822f,
  0.6404507559664981f, 0.6404875707329925f, 0.6405243840276809f, 0.6405611958504787f,
  0.6405980062013010f, 0.6406348150800636f, 0.6406716224866817f, 0.6407084284210710f,
  0.6407452328831464f, 0.6407820358728239f, 0.6408188373900185f, 0.6408556374346458f,
  0.6408924360066214f, 0.6409292331058604f, 0.6409660287322785f, 0.6410028228857909f,
  0.6410396155663134f, 0.6410764067737612f, 0.6411131965080498f, 0.6411499847690946f,
  0.6411867715568113f, 0.6412235568711150f, 0.6412603407119215f, 0.6412971230791461f,
  0.6413339039727044f, 0.6413706833925117f, 0.6414074613384836f, 0.6414442378105356f,
  0.6414810128085832f, 0.6415177863325418f, 0.6415545583823269f, 0.6415913289578541f,
  0.6416280980590388f, 0.6416648656857966f, 0.6417016318380431f, 0.6417383965156934f,
  0.6417751597186635f, 0.6418119214468687f, 0.6418486817002245f, 0.6418854404786464f,
  0.6419221977820502f, 0.6419589536103510f, 0.6419957079634647f, 0.6420324608413067f,
  0.6420692122437925f, 0.6421059621708377f, 0.6421427106223579f, 0.6421794575982687f,
  0.6422162030984854f, 0.6422529471229237f, 0.6422896896714994f, 0.6423264307441277f,
  0.6423631703407243f, 0.6423999084612049f, 0.6424366451054849f, 0.6424733802734799f,
  0.6425101139651057f, 0.6425468461802777f, 0.6425835769189114f, 0.6426203061809226f,
  0.6426570339662269f, 0.6426937602747398f, 0.6427304851063768f, 0.6427672084610536f,
  0.6428039303386860f, 0.6428406507391894f, 0.6428773696624794f, 0.6429140871084719f,
  0.6429508030770822f, 0.6429875175682259f, 0.6430242305818190f, 0.6430609421177769f,
  0.6430976521760151f, 0.6431343607564496f, 0.6431710678589957f, 0.6432077734835693f,
  0.6432444776300859f, 0.6432811802984612f, 0.6433178814886108f, 0.6433545812004504f,
  0.6433912794338958f, 0.6434279761888626f, 0.6434646714652663f, 0.6435013652630228f,
  0.6435380575820477f, 0.6435747484222567f, 0.6436114377835653f, 0.6436481256658896f,
  0.6436848120691449f, 0.6437214969932470f, 0.6437581804381116f, 0.6437948624036546f,
  0.6438315428897915f, 0.6438682218964380f, 0.6439048994235099f, 0.6439415754709229f,
  0.6439782500385927f, 0.6440149231264350f, 0.6440515947343656f, 0.6440882648623002f,
  0.6441249335101545f, 0.6441616006778443f, 0.6441982663652853f, 0.6442349305723931f,
  0.6442715932990838f, 0.6443082545452730f, 0.6443449143108761f, 0.6443815725958094f,
  0.6444182293999884f, 0.6444548847233288f, 0.6444915385657465f, 0.6445281909271572f,
  0.6445648418074768f, 0.6446014912066208f, 0.6446381391245053f, 0.6446747855610458f,
  0.6447114305161583f, 0.6447480739897586f, 0.6447847159817625f, 0.6448213564920856f,
  0.6448579955206437f, 0.6448946330673528f, 0.6449312691321287f, 0.6449679037148871f,
  0.6450045368155439f, 0.6450411684340149f, 0.6450777985702159f, 0.6451144272240626f,
  0.6451510543954712f, 0.6451876800843571f, 0.6452243042906364f, 0.6452609270142249f,
  0.6452975482550384f, 0.6453341680129926f, 0.6453707862880037f, 0.6454074030799873f,
  0.6454440183888593f, 0.6454806322145356f, 0.6455172445569320f, 0.6455538554159644f,
  0.6455904647915487f, 0.6456270726836008f, 0.6456636790920365f, 0.6457002840167716f,
  0.6457368874577223f, 0.6457734894148042f, 0.6458100898879332f, 0.6458466888770252f,
  0.6458832863819963f, 0.6459198824027623f, 0.6459564769392390f, 0.6459930699913423f,
  0.6460296615589883f, 0.6460662516420927f, 0.6461028402405716f, 0.6461394273543409f,
  0.6461760129833164f, 0.6462125971274140f, 0.6462491797865498f, 0.6462857609606397f,
  0.6463223406495995f, 0.6463589188533453f, 0.6463954955717930f, 0.6464320708048585f,
  0.6464686445524578f, 0.6465052168145069f, 0.6465417875909216f, 0.6465783568816180f,
  0.6466149246865120f, 0.6466514910055197f, 0.6466880558385568f, 0.6467246191855396f,
  0.6467611810463839f, 0.6467977414210058f, 0.6468343003093209f, 0.6468708577112458f,
  0.6469074136266960f, 0.6469439680555876f, 0.6469805209978368f, 0.6470170724533595f,
  0.6470536224220717f, 0.6470901709038892f, 0.6471267178987284f, 0.6471632634065051f,
  0.6471998074271352f, 0.6472363499605350f, 0.6472728910066204f, 0.6473094305653073f,
  0.6473459686365121f, 0.6473825052201504f, 0.6474190403161385f, 0.6474555739243923f,
  0.6474921060448281f, 0.6475286366773617f, 0.6475651658219091f, 0.6476016934783867f,
  0.6476382196467103f, 0.6476747443267959f, 0.6477112675185599f, 0.6477477892219180f,
  0.6477843094367866f, 0.6478208281630814f, 0.6478573454007188f, 0.6478938611496148f,
  0.6479303754096853f, 0.6479668881808468f, 0.6480033994630151f, 0.6480399092561063f,
  0.6480764175600365f, 0.6481129243747220f, 0.6481494297000787f, 0.6481859335360228f,
  0.6482224358824704f, 0.6482589367393377f, 0.6482954361065406f, 0.6483319339839955f,
  0.6483684303716183f, 0.6484049252693254f, 0.6484414186770325f, 0.6484779105946562f,
  0.6485144010221124f, 0.6485508899593173f, 0.6485873774061871f, 0.6486238633626379f,
  0.6486603478285859f, 0.6486968308039471f, 0.6487333122886380f, 0.6487697922825744f,
  0.6488062707856725f, 0.6488427477978488f, 0.6488792233190193f, 0.6489156973491000f,
  0.6489521698880073f, 0.6489886409356574f, 0.6490251104919664f, 0.6490615785568505f,
  0.6490980451302260f, 0.6491345102120090f, 0.6491709738021155f, 0.6492074359004621f,
  0.6492438965069649f, 0.6492803556215400f, 0.6493168132441037f, 0.6493532693745723f,
  0.6493897240128618f, 0.6494261771588885f, 0.6494626288125688f, 0.6494990789738189f,
  0.6495355276425547f, 0.6495719748186929f, 0.6496084205021496f, 0.6496448646928409f,
  0.6496813073906832f, 0.6497177485955927f, 0.6497541883074857f, 0.6497906265262784f,
  0.6498270632518871f, 0.6498634984842281f, 0.6498999322232176f, 0.6499363644687720f,
  0.6499727952208075f, 0.6500092244792404f, 0.6500456522439869f, 0.6500820785149634f,
  0.6501185032920862f, 0.6501549265752715f, 0.6501913483644357f, 0.6502277686594951f,
  0.6502641874603660f, 0.6503006047669646f, 0.6503370205792073f, 0.6503734348970105f,
  0.6504098477202903f, 0.6504462590489634f, 0.6504826688829457f, 0.6505190772221537f,
  0.6505554840665039f, 0.6505918894159125f, 0.6506282932702958f, 0.6506646956295702f,
  0.6507010964936520f, 0.6507374958624577f, 0.6507738937359034f, 0.6508102901139058f,
  0.6508466849963809f, 0.6508830783832453f, 0.6509194702744153f, 0.6509558606698074f,
  0.6509922495693377f, 0.6510286369729227f, 0.6510650228804790f, 0.6511014072919227f,
  0.6511377902071703f, 0.6511741716261382f, 0.6512105515487429f, 0.6512469299749006f,
  0.6512833069045277f, 0.6513196823375409f, 0.6513560562738564f, 0.6513924287133904f,
  0.6514287996560598f, 0.6514651691017807f, 0.6515015370504695f, 0.6515379035020429f,
  0.6515742684564170f, 0.6516106319135084f, 0.6516469938732335f, 0.6516833543355089f,
  0.6517197133002509f, 0.6517560707673760f, 0.6517924267368005f, 0.6518287812084411f,
  0.6518651341822140f, 0.6519014856580359f, 0.6519378356358231f, 0.6519741841154922f,
  0.6520105310969595f, 0.6520468765801417f, 0.6520832205649552f, 0.6521195630513162f,
  0.6521559040391416f, 0.6521922435283478f, 0.6522285815188511f, 0.6522649180105681f,
  0.6523012530034155f, 0.6523375864973094f, 0.6523739184921665f, 0.6524102489879036f,
  0.6524465779844367f, 0.6524829054816828f, 0.6525192314795579f, 0.6525555559779791f,
  0.6525918789768625f, 0.6526282004761248f, 0.6526645204756826f, 0.6527008389754523f,
  0.6527371559753503f, 0.6527734714752935f, 0.6528097854751984f, 0.6528460979749813f,
  0.6528824089745588f, 0.6529187184738477f, 0.6529550264727645f, 0.6529913329712255f,
  0.6530276379691475f, 0.6530639414664472f, 0.6531002434630407f, 0.6531365439588451f,
  0.6531728429537768f, 0.6532091404477522f, 0.6532454364406881f, 0.6532817309325011f,
  0.6533180239231077f, 0.6533543154124244f, 0.6533906054003681f, 0.6534268938868553f,
  0.6534631808718024f, 0.6534994663551261f, 0.6535357503367433f, 0.6535720328165704f,
  0.6536083137945239f, 0.6536445932705206f, 0.6536808712444772f, 0.6537171477163101f,
  0.6537534226859361f, 0.6537896961532719f, 0.6538259681182340f, 0.6538622385807390f,
  0.6538985075407038f, 0.6539347749980449f, 0.6539710409526789f, 0.6540073054045226f,
  0.6540435683534926f, 0.6540798297995056f, 0.6541160897424781f, 0.6541523481823271f,
  0.6541886051189690f, 0.6542248605523207f, 0.6542611144822986f, 0.6542973669088197f,
  0.6543336178318004f, 0.6543698672511578f, 0.6544061151668082f, 0.6544423615786685f,
  0.6544786064866553f, 0.6545148498906854f, 0.6545510917906756f, 0.6545873321865424f,
  0.6546235710782027f, 0.6546598084655731f, 0.6546960443485703f, 0.6547322787271113f,
  0.6547685116011126f, 0.6548047429704910f, 0.6548409728351632f, 0.6548772011950460f,
  0.6549134280500560f, 0.6549496534001102f, 0.6549858772451252f, 0.6550220995850179f,
  0.6550583204197049f, 0.6550945397491030f, 0.6551307575731290f, 0.6551669738916998f,
  0.6552031887047318f, 0.6552394020121423f, 0.6552756138138476f, 0.6553118241097647f,
  0.6553480328998105f, 0.6553842401839016f, 0.6554204459619550f, 0.6554566502338872f,
  0.6554928529996153f, 0.6555290542590561f, 0.6555652540121261f, 0.6556014522587424f,
  0.6556376489988218f, 0.6556738442322810f, 0.6557100379590369f, 0.6557462301790064f,
  0.6557824208921061f, 0.6558186100982530f, 0.6558547977973640f, 0.6558909839893559f,
  0.6559271686741454f, 0.6559633518516494f, 0.6559995335217850f, 0.6560357136844688f,
  0.6560718923396176f, 0.6561080694871486f, 0.6561442451269783f, 0.6561804192590238f,
  0.6562165918832019f, 0.6562527629994296f, 0.6562889326076234f, 0.6563251007077007f,
  0.6563612672995780f, 0.6563974323831724f, 0.6564335959584006f, 0.6564697580251797f,
  0.6565059185834266f, 0.6565420776330578f, 0.6565782351739908f, 0.6566143912061423f,
  0.6566505457294290f, 0.6566866987437681f, 0.6567228502490763f, 0.6567590002452707f,
  0.6567951487322681f, 0.6568312957099856f, 0.6568674411783398f, 0.6569035851372480f,
  0.6569397275866271f, 0.6569758685263939f, 0.6570120079564653f, 0.6570481458767584f,
  0.6570842822871902f, 0.6571204171876776f, 0.6571565505781374f, 0.6571926824584867f,
  0.6572288128286425f, 0.6572649416885219f, 0.6573010690380415f, 0.6573371948771187f,
  0.6573733192056703f, 0.6574094420236132f, 0.6574455633308645f, 0.6574816831273411f,
  0.6575178014129601f, 0.6575539181876385f, 0.6575900334512933f, 0.6576261472038415f,
  0.6576622594452001f, 0.6576983701752860f, 0.6577344793940164f, 0.6577705871013083f,
  0.6578066932970786f, 0.6578427979812446f, 0.6578789011537229f, 0.6579150028144309f,
  0.6579511029632855f, 0.6579872016002039f, 0.6580232987251028f, 0.6580593943378996f,
  0.6580954884385112f, 0.6581315810268547f, 0.6581676721028471f, 0.6582037616664055f,
  0.6582398497174470f, 0.6582759362558885f, 0.6583120212816475f, 0.6583481047946406f,
  0.6583841867947851f, 0.6584202672819981f, 0.6584563462561966f, 0.6584924237172978f,
  0.6585284996652186f, 0.6585645740998765f, 0.6586006470211883f, 0.6586367184290709f,
  0.6586727883234419f, 0.6587088567042181f, 0.6587449235713166f, 0.6587809889246548f,
  0.6588170527641495f, 0.6588531150897180f, 0.6588891759012773f, 0.6589252351987448f,
  0.6589612929820373f, 0.6589973492510722f, 0.6590334040057665f, 0.6590694572460375f,
  0.6591055089718021f, 0.6591415591829777f, 0.6591776078794814f, 0.6592136550612303f,
  0.6592497007281415f, 0.6592857448801324f, 0.6593217875171199f, 0.6593578286390213f,
  0.6593938682457539f, 0.6594299063372348f, 0.6594659429133809f, 0.6595019779741099f,
  0.6595380115193387f, 0.6595740435489845f, 0.6596100740629645f, 0.6596461030611960f,
  0.6596821305435961f, 0.6597181565100820f, 0.6597541809605711f, 0.6597902038949806f,
  0.6598262253132274f, 0.6598622452152290f, 0.6598982636009025f, 0.6599342804701653f,
  0.6599702958229345f, 0.6600063096591274f, 0.6600423219786612f, 0.6600783327814531f,
  0.6601143420674205f, 0.6601503498364805f, 0.6601863560885505f, 0.6602223608235475f,
  0.6602583640413890f, 0.6602943657419923f, 0.6603303659252745f, 0.6603663645911529f,
  0.6604023617395450f, 0.6604383573703678f, 0.6604743514835386f, 0.6605103440789750f,
  0.6605463351565939f, 0.6605823247163127f, 0.6606183127580489f, 0.6606542992817197f,
  0.6606902842872423f, 0.6607262677745340f, 0.6607622497435124f, 0.6607982301940944f,
  0.6608342091261976f, 0.6608701865397393f, 0.6609061624346366f, 0.6609421368108070f,
  0.6609781096681681f, 0.6610140810066368f, 0.6610500508261306f, 0.6610860191265668f,
  0.6611219859078629f, 0.6611579511699361f, 0.6611939149127039f, 0.6612298771360834f,
  0.6612658378399923f, 0.6613017970243475f, 0.6613377546890669f, 0.6613737108340676f,
  0.6614096654592669f, 0.6614456185645824f, 0.6614815701499313f, 0.6615175202152310f,
  0.6615534687603989f, 0.6615894157853526f, 0.6616253612900092f, 0.6616613052742861f,
  0.6616972477381010f, 0.6617331886813711f, 0.6617691281040139f, 0.6618050660059466f,
  0.6618410023870869f, 0.6618769372473520f, 0.6619128705866594f, 0.6619488024049266f,
  0.6619847327020709f, 0.6620206614780099f, 0.6620565887326608f, 0.6620925144659413f,
  0.6621284386777687f, 0.6621643613680605f, 0.6622002825367341f, 0.6622362021837070f,
  0.6622721203088966f, 0.6623080369122204f, 0.6623439519935959f, 0.6623798655529406f,
  0.6624157775901718f, 0.6624516881052070f, 0.6624875970979640f, 0.6625235045683598f,
  0.6625594105163123f, 0.6625953149417388f, 0.6626312178445568f, 0.6626671192246838f,
  0.6627030190820374f, 0.6627389174165350f, 0.6627748142280940f, 0.6628107095166321f,
  0.6628466032820669f, 0.6628824955243156f, 0.6629183862432959f, 0.6629542754389254f,
  0.6629901631111215f, 0.6630260492598017f, 0.6630619338848838f, 0.6630978169862850f,
  0.6631336985639230f, 0.6631695786177154f, 0.6632054571475797f, 0.6632413341534333f,
  0.6632772096351941f, 0.6633130835927794f, 0.6633489560261068f, 0.6633848269350938f,
  0.6634206963196583f, 0.6634565641797174f, 0.6634924305151890f, 0.6635282953259906f,
  0.6635641586120398f, 0.6636000203732542f, 0.6636358806095513f, 0.6636717393208487f,
  0.6637075965070641f, 0.6637434521681150f, 0.6637793063039192f, 0.6638151589143941f,
  0.6638510099994573f, 0.6638868595590266f, 0.6639227075930195f, 0.6639585541013537f,
  0.6639943990839466f, 0.6640302425407162f, 0.6640660844715798f, 0.6641019248764551f,
  0.6641377637552600f, 0.6641736011079118f, 0.6642094369343283f, 0.6642452712344272f,
  0.6642811040081262f, 0.6643169352553429f, 0.6643527649759947f, 0.6643885931699997f,
  0.6644244198372752f, 0.6644602449777390f, 0.6644960685913089f, 0.6645318906779025f,
  0.6645677112374375f, 0.6646035302698315f, 0.6646393477750023f, 0.6646751637528675f,
  0.6647109782033448f, 0.6647467911263520f, 0.6647826025218068f, 0.6648184123896267f,
  0.6648542207297297f, 0.6648900275420333f, 0.6649258328264553f, 0.6649616365829133f,
  0.6649974388113253f, 0.6650332395116089f, 0.6650690386836816f, 0.6651048363274614f,
  0.6651406324428661f, 0.6651764270298133f, 0.6652122200882206f, 0.6652480116180061f,
  0.6652838016190872f, 0.6653195900913819f, 0.6653553770348078f, 0.6653911624492829f,
  0.6654269463347247f, 0.6654627286910511f, 0.6654985095181798f, 0.6655342888160287f,
  0.6655700665845155f, 0.6656058428235579f, 0.6656416175330740f, 0.6656773907129812f,
  0.6657131623631976f, 0.6657489324836408f, 0.6657847010742287f, 0.6658204681348791f,
  0.6658562336655097f, 0.6658919976660385f, 0.6659277601363831f, 0.6659635210764615f,
  0.6659992804861915f, 0.6660350383654908f, 0.6660707947142774f, 0.6661065495324691f,
  0.6661423028199835f, 0.6661780545767387f, 0.6662138048026526f, 0.6662495534976429f,
  0.6662853006616273f, 0.6663210462945240f, 0.6663567903962506f, 0.6663925329667251f,
  0.6664282740058652f, 0.6664640135135891f, 0.6664997514898143f, 0.6665354879344588f,
  0.6665712228474406f, 0.6666069562286776f, 0.6666426880780874f, 0.6666784183955881f,
  0.6667141471810977f, 0.6667498744345338f, 0.6667856001558145f, 0.6668213243448576f,
  0.6668570470015812f, 0.6668927681259030f, 0.6669284877177412f, 0.6669642057770133f,
  0.6669999223036375f, 0.6670356372975317f, 0.6670713507586138f, 0.6671070626868016f,
  0.6671427730820133f, 0.6671784819441666f, 0.6672141892731797f, 0.6672498950689703f,
  0.6672855993314564f, 0.6673213020605561f, 0.6673570032561872f, 0.6673927029182677f,
  0.6674284010467155f, 0.6674640976414488f, 0.6674997927023854f, 0.6675354862294431f,
  0.6675711782225403f, 0.6676068686815946f, 0.6676425576065242f, 0.6676782449972470f,
  0.6677139308536811f, 0.6677496151757443f, 0.6677852979633548f, 0.6678209792164305f,
  0.6678566589348893f, 0.6678923371186495f, 0.6679280137676289f, 0.6679636888817455f,
  0.6679993624609174f, 0.6680350345050627f, 0.6680707050140993f, 0.6681063739879451f,
  0.6681420414265185f, 0.6681777073297372f, 0.6682133716975195f, 0.6682490345297832f,
  0.6682846958264467f, 0.6683203555874276f, 0.6683560138126442f, 0.6683916705020146f,
  0.6684273256554568f, 0.6684629792728889f, 0.6684986313542289f, 0.6685342818993949f,
  0.6685699309083050f, 0.6686055783808773f, 0.6686412243170299f, 0.6686768687166808f,
  0.6687125115797480f, 0.6687481529061499f, 0.6687837926958043f, 0.6688194309486295f,
  0.6688550676645436f, 0.6688907028434646f, 0.6689263364853106f, 0.6689619685899998f,
  0.6689975991574503f, 0.6690332281875802f, 0.6690688556803076f, 0.6691044816355507f,
  0.6691401060532276f, 0.6691757289332564f, 0.6692113502755553f, 0.6692469700800425f,
  0.6692825883466361f, 0.6693182050752541f, 0.6693538202658148f, 0.6693894339182364f,
  0.6694250460324369f, 0.6694606566083346f, 0.6694962656458477f, 0.6695318731448942f,
  0.6695674791053925f, 0.6696030835272606f, 0.6696386864104167f, 0.6696742877547790f,
  0.6697098875602658f, 0.6697454858267953f, 0.6697810825542854f, 0.6698166777426546f,
  0.6698522713918210f, 0.6698878635017029f, 0.6699234540722183f, 0.6699590431032857f,
  0.6699946305948231f, 0.6700302165467487f, 0.6700658009589809f, 0.6701013838314378f,
  0.6701369651640376f, 0.6701725449566989f, 0.6702081232093394f, 0.6702436999218777f,
  0.6702792750942318f, 0.6703148487263202f, 0.6703504208180611f, 0.6703859913693726f,
  0.6704215603801731f, 0.6704571278503808f, 0.6704926937799141f, 0.6705282581686910f,
  0.6705638210166300f, 0.6705993823236494f, 0.6706349420896672f, 0.6706705003146021f,
  0.6707060569983722f, 0.6707416121408956f, 0.6707771657420908f, 0.6708127178018761f,
  0.6708482683201697f, 0.6708838172968901f, 0.6709193647319553f, 0.6709549106252840f,
  0.6709904549767942f, 0.6710259977864044f, 0.6710615390540329f, 0.6710970787795978f,
  0.6711326169630177f, 0.6711681536042110f, 0.6712036887030958f, 0.6712392222595904f,
  0.6712747542736135f, 0.6713102847450831f, 0.6713458136739178f, 0.6713813410600357f,
  0.6714168669033554f, 0.6714523912037952f, 0.6714879139612733f, 0.6715234351757082f,
  0.6715589548470184f, 0.6715944729751221f, 0.6716299895599377f, 0.6716655046013837f,
  0.6717010180993783f, 0.6717365300538400f, 0.6717720404646874f, 0.6718075493318385f,
  0.6718430566552119f, 0.6718785624347261f, 0.6719140666702994f, 0.6719495693618501f,
  0.6719850705092969f, 0.6720205701125580f, 0.6720560681715519f, 0.6720915646861970f,
  0.6721270596564117f, 0.6721625530821146f, 0.6721980449632239f, 0.6722335352996582f,
  0.6722690240913359f, 0.6723045113381755f, 0.6723399970400954f, 0.6723754811970141f,
  0.6724109638088499f, 0.6724464448755214f, 0.6724819243969471f, 0.6725174023730455f,
  0.6725528788037347f, 0.6725883536889338f, 0.6726238270285608f, 0.6726592988225343f,
  0.6726947690707729f, 0.6727302377731950f, 0.6727657049297191f, 0.6728011705402637f,
  0.6728366346047473f, 0.6728720971230885f, 0.6729075580952055f, 0.6729430175210173f,
  0.6729784754004421f, 0.6730139317333984f, 0.6730493865198047f, 0.6730848397595798f,
  0.6731202914526421f, 0.6731557415989099f, 0.6731911901983020f, 0.6732266372507368f,
  0.6732620827561330f, 0.6732975267144090f, 0.6733329691254835f, 0.6733684099892749f,
  0.6734038493057017f, 0.6734392870746828f, 0.6734747232961366f, 0.6735101579699814f,
  0.6735455910961361f, 0.6735810226745191f, 0.6736164527050492f, 0.6736518811876446f,
  0.6736873081222243f, 0.6737227335087067f, 0.6737581573470104f, 0.6737935796370540f,
  0.6738290003787560f, 0.6738644195720352f, 0.6738998372168101f, 0.6739352533129994f,
  0.6739706678605216f, 0.6740060808592954f, 0.6740414923092394f, 0.6740769022102722f,
  0.6741123105623124f, 0.6741477173652787f, 0.6741831226190897f, 0.6742185263236641f,
  0.6742539284789204f, 0.6742893290847775f, 0.6743247281411539f, 0.6743601256479681f,
  0.6743955216051390f, 0.6744309160125852f, 0.6744663088702253f, 0.6745017001779781f,
  0.6745370899357620f, 0.6745724781434961f, 0.6746078648010986f, 0.6746432499084886f,
  0.6746786334655845f, 0.6747140154723051f, 0.6747493959285692f, 0.6747847748342953f,
  0.6748201521894022f, 0.6748555279938087f, 0.6748909022474333f, 0.6749262749501949f,
  0.6749616461020119f, 0.6749970157028036f, 0.6750323837524882f, 0.6750677502509845f,
  0.6751031151982114f, 0.6751384785940877f, 0.6751738404385319f, 0.6752092007314628f,
  0.6752445594727993f, 0.6752799166624599f, 0.6753152723003636f, 0.6753506263864290f,
  0.6753859789205748f, 0.6754213299027200f, 0.6754566793327831f, 0.6754920272106831f,
  0.6755273735363386f, 0.6755627183096684f, 0.6755980615305914f, 0.6756334031990263f,
  0.6756687433148919f, 0.6757040818781069f, 0.6757394188885903f, 0.6757747543462607f,
  0.6758100882510369f, 0.6758454206028379f, 0.6758807514015824f, 0.6759160806471891f,
  0.6759514083395770f, 0.6759867344786648f, 0.6760220590643713f, 0.6760573820966154f,
  0.6760927035753159f, 0.6761280235003918f, 0.6761633418717615f, 0.6761986586893444f,
  0.6762339739530590f, 0.6762692876628240f, 0.6763045998185586f, 0.6763399104201816f,
  0.6763752194676116f, 0.6764105269607678f, 0.6764458328995688f, 0.6764811372839337f,
  0.6765164401137811f, 0.6765517413890301f, 0.6765870411095994f, 0.6766223392754080f,
  0.6766576358863750f, 0.6766929309424188f, 0.6767282244434587f, 0.6767635163894133f,
  0.6767988067802018f, 0.6768340956157429f, 0.6768693828959554f, 0.6769046686207586f,
  0.6769399527900711f, 0.6769752354038120f, 0.6770105164619000f, 0.6770457959642543f,
  0.6770810739107936f, 0.6771163503014369f, 0.6771516251361032f, 0.6771868984147115f,
  0.6772221701371803f, 0.6772574403034293f, 0.6772927089133768f, 0.6773279759669421f,
  0.6773632414640439f, 0.6773985054046014f, 0.6774337677885336f, 0.6774690286157592f,
  0.6775042878861974f, 0.6775395455997671f, 0.6775748017563872f, 0.6776100563559768f,
  0.6776453093984549f, 0.6776805608837404f, 0.6777158108117523f, 0.6777510591824096f,
  0.6777863059956315f, 0.6778215512513367f, 0.6778567949494444f, 0.6778920370898734f,
  0.6779272776725430f, 0.6779625166973722f, 0.6779977541642798f, 0.6780329900731850f,
  0.6780682244240066f, 0.6781034572166639f, 0.6781386884510758f, 0.6781739181271614f,
  0.6782091462448399f, 0.6782443728040299f, 0.6782795978046510f, 0.6783148212466217f,
  0.6783500431298615f, 0.6783852634542893f, 0.6784204822198240f, 0.6784556994263850f,
  0.6784909150738911f, 0.6785261291622615f, 0.6785613416914154f, 0.6785965526612716f,
  0.6786317620717495f, 0.6786669699227678f, 0.6787021762142459f, 0.6787373809461029f,
  0.6787725841182577f, 0.6788077857306296f, 0.6788429857831376f, 0.6788781842757008f,
  0.6789133812082384f, 0.6789485765806695f, 0.6789837703929132f, 0.6790189626448886f,
  0.6790541533365149f, 0.6790893424677111f, 0.6791245300383965f, 0.6791597160484901f,
  0.6791949004979112f, 0.6792300833865789f, 0.6792652647144121f, 0.6793004444813303f,
  0.6793356226872526f, 0.6793707993320980f, 0.6794059744157858f, 0.6794411479382351f,
  0.6794763198993650f, 0.6795114902990949f, 0.6795466591373438f, 0.6795818264140310f,
  0.6796169921290756f, 0.6796521562823967f, 0.6796873188739138f, 0.6797224799035457f,
  0.6797576393712120f, 0.6797927972768317f, 0.6798279536203240f, 0.6798631084016081f,
  0.6798982616206033f, 0.6799334132772288f, 0.6799685633714037f, 0.6800037119030473f,
  0.6800388588720789f, 0.6800740042784178f, 0.6801091481219830f, 0.6801442904026940f,
  0.6801794311204699f, 0.6802145702752297f, 0.6802497078668932f, 0.6802848438953792f,
  0.6803199783606072f, 0.6803551112624965f, 0.6803902426009661f, 0.6804253723759355f,
  0.6804605005873239f, 0.6804956272350505f, 0.6805307523190348f, 0.6805658758391958f,
  0.6806009977954530f, 0.6806361181877257f, 0.6806712370159330f, 0.6807063542799944f,
  0.6807414699798291f, 0.6807765841153565f, 0.6808116966864957f, 0.6808468076931662f,
  0.6808819171352872f, 0.6809170250127782f, 0.6809521313255583f, 0.6809872360735471f,
  0.6810223392566637f, 0.6810574408748274f, 0.6810925409279578f, 0.6811276394159740f,
  0.6811627363387954f, 0.6811978316963414f, 0.6812329254885314f, 0.6812680177152846f,
  0.6813031083765205f, 0.6813381974721584f, 0.6813732850021178f, 0.6814083709663178f,
  0.6814434553646779f, 0.6814785381971176f, 0.6815136194635560f, 0.6815486991639129f,
  0.6815837772981075f, 0.6816188538660589f, 0.6816539288676869f, 0.6816890023029107f,
  0.6817240741716498f, 0.6817591444738235f, 0.6817942132093513f, 0.6818292803781526f,
  0.6818643459801467f, 0.6818994100152532f, 0.6819344724833915f, 0.6819695333844809f,
  0.6820045927184408f, 0.6820396504851909f, 0.6820747066846504f, 0.6821097613167387f,
  0.6821448143813756f, 0.6821798658784802f, 0.6822149158079721f, 0.6822499641697707f,
  0.6822850109637956f, 0.6823200561899661f, 0.6823550998482015f, 0.6823901419384217f,
  0.6824251824605461f, 0.6824602214144938f, 0.6824952588001846f, 0.6825302946175380f,
  0.6825653288664733f, 0.6826003615469101f, 0.6826353926587679f, 0.6826704222019663f,
  0.6827054501764246f, 0.6827404765820624f, 0.6827755014187993f, 0.6828105246865546f,
  0.6828455463852481f, 0.6828805665147991f, 0.6829155850751272f, 0.6829506020661519f,
  0.6829856174877927f, 0.6830206313399694f, 0.6830556436226012f, 0.6830906543356078f,
  0.6831256634789087f, 0.6831606710524235f, 0.6831956770560718f, 0.6832306814897730f,
  0.6832656843534468f, 0.6833006856470126f, 0.6833356853703902f, 0.6833706835234991f,
  0.6834056801062587f, 0.6834406751185889f, 0.6834756685604090f, 0.6835106604316387f,
  0.6835456507321975f, 0.6835806394620051f, 0.6836156266209812f, 0.6836506122090451f,
  0.6836855962261166f, 0.6837205786721153f, 0.6837555595469609f, 0.6837905388505728f,
  0.6838255165828707f, 0.6838604927437744f, 0.6838954673332033f, 0.6839304403510771f,
  0.6839654117973154f, 0.6840003816718380f, 0.6840353499745643f, 0.6840703167054142f,
  0.6841052818643071f, 0.6841402454511628f, 0.6841752074659009f, 0.6842101679084411f,
  0.6842451267787031f, 0.6842800840766065f, 0.6843150398020709f, 0.6843499939550161f,
  0.6843849465353617f, 0.6844198975430275f, 0.6844548469779331f, 0.6844897948399981f,
  0.6845247411291423f, 0.6845596858452854f, 0.6845946289883470f, 0.6846295705582470f,
  0.6846645105549050f, 0.6846994489782404f, 0.6847343858281735f, 0.6847693211046236f,
  0.6848042548075106f, 0.6848391869367542f, 0.6848741174922740f, 0.6849090464739899f,
  0.6849439738818215f, 0.6849788997156886f, 0.6850138239755109f, 0.6850487466612083f,
  0.6850836677727004f, 0.6851185873099069f, 0.6851535052727478f, 0.6851884216611426f,
  0.6852233364750112f, 0.6852582497142733f, 0.6852931613788488f, 0.6853280714686573f,
  0.6853629799836187f, 0.6853978869236528f, 0.6854327922886791f, 0.6854676960786179f,
  0.6855025982933886f, 0.6855374989329110f, 0.6855723979971052f, 0.6856072954858907f,
  0.6856421913991875f, 0.6856770857369152f, 0.6857119784989939f, 0.6857468696853433f,
  0.6857817592958830f, 0.6858166473305330f, 0.6858515337892134f, 0.6858864186718435f,
  0.6859213019783436f, 0.6859561837086333f, 0.6859910638626325f, 0.6860259424402609f,
  0.6860608194414387f, 0.6860956948660855f, 0.6861305687141210f, 0.6861654409854655f,
  0.6862003116800386f, 0.6862351807977601f, 0.6862700483385501f, 0.6863049143023283f,
  0.6863397786890146f, 0.6863746414985289f, 0.6864095027307912f, 0.6864443623857213f,
  0.6864792204632389f, 0.6865140769632643f, 0.6865489318857171f, 0.6865837852305172f,
  0.6866186369975846f, 0.6866534871868394f, 0.6866883357982012f, 0.6867231828315901f,
  0.6867580282869259f, 0.6867928721641287f, 0.6868277144631182f, 0.6868625551838146f,
  0.6868973943261376f, 0.6869322318900073f, 0.6869670678753435f, 0.6870019022820664f,
  0.6870367351100957f, 0.6870715663593513f, 0.6871063960297535f, 0.6871412241212220f,
  0.6871760506336768f, 0.6872108755670380f, 0.6872456989212254f, 0.6872805206961592f,
  0.6873153408917591f, 0.6873501595079452f, 0.6873849765446377f, 0.6874197920017562f,
  0.6874546058792210f, 0.6874894181769520f, 0.6875242288948692f, 0.6875590380328925f,
  0.6875938455909422f, 0.6876286515689380f, 0.6876634559668001f, 0.6876982587844485f,
  0.6877330600218032f, 0.6877678596787842f, 0.6878026577553116f, 0.6878374542513054f,
  0.6878722491666855f, 0.6879070425013722f, 0.6879418342552854f, 0.6879766244283453f,
  0.6880114130204716f, 0.6880462000315848f, 0.6880809854616046f, 0.6881157693104513f,
  0.6881505515780448f, 0.6881853322643053f, 0.6882201113691528f, 0.6882548888925075f,
  0.6882896648342893f, 0.6883244391944185f, 0.6883592119728149f, 0.6883939831693989f,
  0.6884287527840904f, 0.6884635208168097f, 0.6884982872674765f, 0.6885330521360115f,
  0.6885678154223343f, 0.6886025771263652f, 0.6886373372480243f, 0.6886720957872319f,
  0.6887068527439077f, 0.6887416081179724f, 0.6887763619093457f, 0.6888111141179479f,
  0.6888458647436990f, 0.6888806137865194f, 0.6889153612463291f, 0.6889501071230483f,
  0.6889848514165970f, 0.6890195941268956f, 0.6890543352538642f, 0.6890890747974227f,
  0.6891238127574916f, 0.6891585491339910f, 0.6891932839268409f, 0.6892280171359617f,
  0.6892627487612735f, 0.6892974788026963f, 0.6893322072601508f, 0.6893669341335567f,
  0.6894016594228344f, 0.6894363831279040f, 0.6894711052486858f, 0.6895058257851001f,
  0.6895405447370668f, 0.6895752621045066f, 0.6896099778873394f, 0.6896446920854853f,
  0.6896794046988648f, 0.6897141157273980f, 0.6897488251710052f, 0.6897835330296066f,
  0.6898182393031225f, 0.6898529439914730f, 0.6898876470945785f, 0.6899223486123592f,
  0.6899570485447354f, 0.6899917468916273f, 0.6900264436529551f, 0.6900611388286393f,
  0.6900958324186000f, 0.6901305244227574f, 0.6901652148410319f, 0.6901999036733438f,
  0.6902345909196134f, 0.6902692765797609f, 0.6903039606537067f, 0.6903386431413709f,
  0.6903733240426740f, 0.6904080033575364f, 0.6904426810858780f, 0.6904773572276195f,
  0.6905120317826811f, 0.6905467047509831f, 0.6905813761324459f, 0.6906160459269894f,
  0.6906507141345346f, 0.6906853807550015f, 0.6907200457883104f, 0.6907547092343816f,
  0.6907893710931357f, 0.6908240313644928f, 0.6908586900483733f, 0.6908933471446977f,
  0.6909280026533863f, 0.6909626565743593f, 0.6909973089075372f, 0.6910319596528404f,
  0.6910666088101892f, 0.6911012563795040f, 0.6911359023607053f, 0.6911705467537134f,
  0.6912051895584485f, 0.6912398307748312f, 0.6912744704027819f, 0.6913091084422209f,
  0.6913437448930687f, 0.6913783797552457f, 0.6914130130286722f, 0.6914476447132688f,
  0.6914822748089559f, 0.6915169033156536f, 0.6915515302332826f, 0.6915861555617634f,
  0.6916207793010163f, 0.6916554014509617f, 0.6916900220115201f, 0.6917246409826120f,
  0.6917592583641577f, 0.6917938741560778f, 0.6918284883582928f, 0.6918631009707229f,
  0.6918977119932888f, 0.6919323214259108f, 0.6919669292685096f, 0.6920015355210053f,
  0.6920361401833187f, 0.6920707432553703f, 0.6921053447370804f, 0.6921399446283695f,
  0.6921745429291581f, 0.6922091396393668f, 0.6922437347589160f, 0.6922783282877264f,
  0.6923129202257182f, 0.6923475105728121f, 0.6923820993289285f, 0.6924166864939880f,
  0.6924512720679112f, 0.6924858560506184f, 0.6925204384420304f, 0.6925550192420675f,
  0.6925895984506504f, 0.6926241760676994f, 0.6926587520931354f, 0.6926933265268786f,
  0.6927278993688498f, 0.6927624706189695f, 0.6927970402771582f, 0.6928316083433362f,
  0.6928661748174246f, 0.6929007396993437f, 0.6929353029890141f, 0.6929698646863562f,
  0.6930044247912909f, 0.6930389833037386f, 0.6930735402236198f, 0.6931080955508552f,
  0.6931426492853654f, 0.6931772014270710f, 0.6932117519758926f, 0.6932463009317508f,
  0.6932808482945660f, 0.6933153940642592f, 0.6933499382407509f, 0.6933844808239615f,
  0.6934190218138118f, 0.6934535612102224f, 0.6934880990131139f, 0.6935226352224070f,
  0.6935571698380223f, 0.6935917028598805f, 0.6936262342879020f, 0.6936607641220077f,
  0.6936952923621182f, 0.6937298190081542f, 0.6937643440600363f, 0.6937988675176850f,
  0.6938333893810213f, 0.6938679096499656f, 0.6939024283244387f, 0.6939369454043613f,
  0.6939714608896540f, 0.6940059747802375f, 0.6940404870760325f, 0.6940749977769598f,
  0.6941095068829398f, 0.6941440143938935f, 0.6941785203097416f, 0.6942130246304046f,
  0.6942475273558033f, 0.6942820284858585f, 0.6943165280204908f, 0.6943510259596209f,
  0.6943855223031697f, 0.6944200170510579f, 0.6944545102032060f, 0.6944890017595350f,
  0.6945234917199655f, 0.6945579800844184f, 0.6945924668528141f, 0.6946269520250737f,
  0.6946614356011178f, 0.6946959175808672f, 0.6947303979642427f, 0.6947648767511651f,
  0.6947993539415550f, 0.6948338295353331f, 0.6948683035324206f, 0.6949027759327379f,
  0.6949372467362058f, 0.6949717159427454f, 0.6950061835522773f, 0.6950406495647221f,
  0.6950751139800009f, 0.6951095767980343f, 0.6951440380187432f, 0.6951784976420484f,
  0.6952129556678708f, 0.6952474120961312f, 0.6952818669267501f, 0.6953163201596487f,
  0.6953507717947477f, 0.6953852218319679f, 0.6954196702712303f, 0.6954541171124555f,
  0.6954885623555644f, 0.6955230060004780f, 0.6955574480471171f, 0.6955918884954024f,
  0.6956263273452549f, 0.6956607645965954f, 0.6956952002493448f, 0.6957296343034240f,
  0.6957640667587537f, 0.6957984976152550f, 0.6958329268728488f, 0.6958673545314557f,
  0.6959017805909968f, 0.6959362050513930f, 0.6959706279125650f, 0.6960050491744340f,
  0.6960394688369207f, 0.6960738868999460f, 0.6961083033634309f, 0.6961427182272962f,
  0.6961771314914630f, 0.6962115431558520f, 0.6962459532203842f, 0.6962803616849806f,
  0.6963147685495622f, 0.6963491738140497f, 0.6963835774783642f, 0.6964179795424267f,
  0.6964523800061578f, 0.6964867788694789f, 0.6965211761323107f, 0.6965555717945742f,
  0.6965899658561904f, 0.6966243583170803f, 0.6966587491771646f, 0.6966931384363646f,
  0.6967275260946012f, 0.6967619121517953f, 0.6967962966078678f, 0.6968306794627399f,
  0.6968650607163325f, 0.6968994403685664f, 0.6969338184193630f, 0.6969681948686430f,
  0.6970025697163275f, 0.6970369429623374f, 0.6970713146065939f, 0.6971056846490179f,
  0.6971400530895304f, 0.6971744199280525f, 0.6972087851645052f, 0.6972431487988097f,
  0.6972775108308865f, 0.6973118712606572f, 0.6973462300880426f, 0.6973805873129637f,
  0.6974149429353418f, 0.6974492969550977f, 0.6974836493721525f, 0.6975180001864273f,
  0.6975523493978432f, 0.6975866970063213f, 0.6976210430117824f, 0.6976553874141479f,
  0.6976897302133388f, 0.6977240714092759f, 0.6977584110018807f, 0.6977927489910742f,
  0.6978270853767773f, 0.6978614201589112f, 0.6978957533373971f, 0.6979300849121558f,
  0.6979644148831087f, 0.6979987432501769f, 0.6980330700132814f, 0.6980673951723433f,
  0.6981017187272838f, 0.6981360406780240f, 0.6981703610244852f, 0.6982046797665882f,
  0.6982389969042543f, 0.6982733124374048f, 0.6983076263659604f, 0.6983419386898428f,
  0.6983762494089729f, 0.6984105585232717f, 0.6984448660326605f, 0.6984791719370607f,
  0.6985134762363931f, 0.6985477789305790f, 0.6985820800195396f, 0.6986163795031960f,
  0.6986506773814695f, 0.6986849736542813f, 0.6987192683215524f, 0.6987535613832042f,
  0.6987878528391577f, 0.6988221426893343f, 0.6988564309336551f, 0.6988907175720412f,
  0.6989250026044141f, 0.6989592860306948f, 0.6989935678508045f, 0.6990278480646646f,
  0.6990621266721961f, 0.6990964036733205f, 0.6991306790679587f, 0.6991649528560321f,
  0.6991992250374621f, 0.6992334956121696f, 0.6992677645800762f, 0.6993020319411030f,
  0.6993362976951712f, 0.6993705618422021f, 0.6994048243821170f, 0.6994390853148372f,
  0.6994733446402838f, 0.6995076023583783f, 0.6995418584690417f, 0.6995761129721955f,
  0.6996103658677610f, 0.6996446171556594f, 0.6996788668358120f, 0.6997131149081400f,
  0.6997473613725650f, 0.6997816062290080f, 0.6998158494773904f, 0.6998500911176335f,
  0.6998843311496588f, 0.6999185695733873f, 0.6999528063887405f, 0.6999870415956397f,
  0.7000212751940064f, 0.7000555071837615f, 0.7000897375648268f, 0.7001239663371235f,
  0.7001581935005727f, 0.7001924190550960f, 0.7002266430006148f, 0.7002608653370502f,
  0.7002950860643238f, 0.7003293051823568f, 0.7003635226910707f, 0.7003977385903868f,
  0.7004319528802264f, 0.7004661655605110f, 0.7005003766311619f, 0.7005345860921006f,
  0.7005687939432483f, 0.7006030001845267f, 0.7006372048158568f, 0.7006714078371602f,
  0.7007056092483585f, 0.7007398090493726f, 0.7007740072401244f, 0.7008082038205351f,
  0.7008423987905262f, 0.7008765921500190f, 0.7009107838989350f, 0.7009449740371957f,
  0.7009791625647224f, 0.7010133494814367f, 0.7010475347872598f, 0.7010817184821133f,
  0.7011159005659187f, 0.7011500810385973f, 0.7011842599000707f, 0.7012184371502602f,
  0.7012526127890875f, 0.7012867868164738f, 0.7013209592323406f, 0.7013551300366097f,
  0.7013892992292022f, 0.7014234668100398f, 0.7014576327790438f, 0.7014917971361359f,
  0.7015259598812374f, 0.7015601210142699f, 0.7015942805351550f, 0.7016284384438141f,
  0.7016625947401685f, 0.7016967494241400f, 0.7017309024956501f, 0.7017650539546202f,
  0.7017992038009717f, 0.7018333520346264f, 0.7018674986555058f, 0.7019016436635311f,
  0.7019357870586244f, 0.7019699288407067f, 0.7020040690096998f, 0.7020382075655254f,
  0.7020723445081046f, 0.7021064798373594f, 0.7021406135532111f, 0.7021747456555815f,
  0.7022088761443919f, 0.7022430050195638f, 0.7022771322810192f, 0.7023112579286793f,
  0.7023453819624659f, 0.7023795043823005f, 0.7024136251881046f, 0.7024477443798000f,
  0.7024818619573080f, 0.7025159779205504f, 0.7025500922694489f, 0.7025842050039249f,
  0.7026183161239001f, 0.7026524256292962f, 0.7026865335200346f, 0.7027206397960370f,
  0.7027547444572253f, 0.7027888475035208f, 0.7028229489348452f, 0.7028570487511202f,
  0.7028911469522674f, 0.7029252435382084f, 0.7029593385088651f, 0.7029934318641587f,
  0.7030275236040113f, 0.7030616137283443f, 0.7030957022370794f, 0.7031297891301383f,
  0.7031638744074428f, 0.7031979580689144f, 0.7032320401144747f, 0.7032661205440457f,
  0.7033001993575487f, 0.7033342765549057f, 0.7033683521360382f, 0.7034024261008679f,
  0.7034364984493167f, 0.7034705691813061f, 0.7035046382967579f, 0.7035387057955939f,
  0.7035727716777356f, 0.7036068359431048f, 0.7036408985916232f, 0.7036749596232126f,
  0.7037090190377948f, 0.7037430768352912f, 0.7037771330156241f, 0.7038111875787146f,
  0.7038452405244849f, 0.7038792918528566f, 0.7039133415637515f, 0.7039473896570912f,
  0.7039814361327976f, 0.7040154809907925f, 0.7040495242309976f, 0.7040835658533345f,
  0.7041176058577253f, 0.7041516442440917f, 0.7041856810123552f, 0.7042197161624379f,
  0.7042537496942615f, 0.7042877816077477f, 0.7043218119028184f, 0.7043558405793954f,
  0.7043898676374004f, 0.7044238930767552f, 0.7044579168973819f, 0.7044919390992020f,
  0.7045259596821375f, 0.7045599786461100f, 0.7045939959910416f, 0.7046280117168540f,
  0.7046620258234688f, 0.7046960383108083f, 0.7047300491787941f, 0.7047640584273480f,
  0.7047980660563919f, 0.7048320720658477f, 0.7048660764556373f, 0.7049000792256823f,
  0.7049340803759049f, 0.7049680799062268f, 0.7050020778165698f, 0.7050360741068558f,
  0.7050700687770068f, 0.7051040618269446f, 0.7051380532565911f, 0.7051720430658682f,
  0.7052060312546978f, 0.7052400178230017f, 0.7052740027707020f, 0.7053079860977204f,
  0.7053419678039790f, 0.7053759478893994f, 0.7054099263539039f, 0.7054439031974141f,
  0.7054778784198521f, 0.7055118520211399f, 0.7055458240011993f, 0.7055797943599521f,
  0.7056137630973205f, 0.7056477302132264f, 0.7056816957075915f, 0.7057156595803380f,
  0.7057496218313878f, 0.7057835824606629f, 0.7058175414680851f, 0.7058514988535765f,
  0.7058854546170590f, 0.7059194087584545f, 0.7059533612776853f, 0.7059873121746730f,
  0.7060212614493399f, 0.7060552091016076f, 0.7060891551313984f, 0.7061230995386343f,
  0.7061570423232371f, 0.7061909834851289f, 0.7062249230242318f, 0.7062588609404676f,
  0.7062927972337585f, 0.7063267319040264f, 0.7063606649511934f, 0.7063945963751815f,
  0.7064285261759128f, 0.7064624543533091f, 0.7064963809072927f, 0.7065303058377854f,
  0.7065642291447095f, 0.7065981508279869f, 0.7066320708875395f, 0.7066659893232897f,
  0.7066999061351594f, 0.7067338213230705f, 0.7067677348869452f, 0.7068016468267057f,
  0.7068355571422739f, 0.7068694658335718f, 0.7069033729005216f, 0.7069372783430455f,
  0.7069711821610654f, 0.7070050843545035f, 0.7070389849232818f, 0.7070728838673224f,
  0.7071067811865475f, 0.7071406768808792f, 0.7071745709502395f, 0.7072084633945506f,
  0.7072423542137346f, 0.7072762434077137f, 0.7073101309764098f, 0.7073440169197452f,
  0.7073779012376421f, 0.7074117839300225f, 0.7074456649968085f, 0.7074795444379224f,
  0.7075134222532863f, 0.7075472984428222f, 0.7075811730064524f, 0.7076150459440991f,
  0.7076489172556844f, 0.7076827869411303f, 0.7077166550003593f, 0.7077505214332933f,
  0.7077843862398546f, 0.7078182494199654f, 0.7078521109735478f, 0.7078859709005240f,
  0.7079198292008163f, 0.7079536858743468f, 0.7079875409210376f, 0.7080213943408111f,
  0.7080552461335895f, 0.7080890962992948f, 0.7081229448378494f, 0.7081567917491756f,
  0.7081906370331953f, 0.7082244806898309f, 0.7082583227190048f, 0.7082921631206390f,
  0.7083260018946559f, 0.7083598390409774f, 0.7083936745595263f, 0.7084275084502244f,
  0.7084613407129940f, 0.7084951713477576f, 0.7085290003544373f, 0.7085628277329553f,
  0.7085966534832341f, 0.7086304776051957f, 0.7086643000987625f, 0.7086981209638566f,
  0.7087319402004006f, 0.7087657578083166f, 0.7087995737875270f, 0.7088333881379539f,
  0.7088672008595198f, 0.7089010119521468f, 0.7089348214157574f, 0.7089686292502738f,
  0.7090024354556183f, 0.7090362400317132f, 0.7090700429784810f, 0.7091038442958438f,
  0.7091376439837239f, 0.7091714420420440f, 0.7092052384707260f, 0.7092390332696925f,
  0.7092728264388656f, 0.7093066179781680f, 0.7093404078875217f, 0.7093741961668493f,
  0.7094079828160730f, 0.7094417678351153f, 0.7094755512238983f, 0.7095093329823448f,
  0.7095431131103768f, 0.7095768916079167f, 0.7096106684748871f, 0.7096444437112102f,
  0.7096782173168085f, 0.7097119892916043f, 0.7097457596355200f, 0.7097795283484781f,
  0.7098132954304009f, 0.7098470608812107f, 0.7098808247008302f, 0.7099145868891816f,
  0.7099483474461874f, 0.7099821063717699f, 0.7100158636658518f, 0.7100496193283552f,
  0.7100833733592027f, 0.7101171257583168f, 0.7101508765256197f, 0.7101846256610340f,
  0.7102183731644822f, 0.7102521190358867f, 0.7102858632751698f, 0.7103196058822543f,
  0.7103533468570623f, 0.7103870861995165f, 0.7104208239095393f, 0.7104545599870531f,
  0.7104882944319805f, 0.7105220272442438f, 0.7105557584237658f, 0.7105894879704687f,
  0.7106232158842750f, 0.7106569421651074f, 0.7106906668128883f, 0.7107243898275400f,
  0.7107581112089854f, 0.7107918309571467f, 0.7108255490719465f, 0.7108592655533073f,
  0.7108929804011517f, 0.7109266936154022f, 0.7109604051959811f, 0.7109941151428114f,
  0.7110278234558153f, 0.7110615301349154f, 0.7110952351800341f, 0.7111289385910943f,
  0.7111626403680184f, 0.7111963405107287f, 0.7112300390191481f, 0.7112637358931990f,
  0.7112974311328040f, 0.7113311247378856f, 0.7113648167083666f, 0.7113985070441693f,
  0.7114321957452164f, 0.7114658828114305f, 0.7114995682427343f, 0.7115332520390500f,
  0.7115669342003007f, 0.7116006147264087f, 0.7116342936172967f, 0.7116679708728871f,
  0.7117016464931030f, 0.7117353204778665f, 0.7117689928271004f, 0.7118026635407274f,
  0.7118363326186701f, 0.7118700000608511f, 0.7119036658671929f, 0.7119373300376184f,
  0.7119709925720501f, 0.7120046534704106f, 0.7120383127326226f, 0.7120719703586089f,
  0.7121056263482919f, 0.7121392807015944f, 0.7121729334184391f, 0.7122065844987486f,
  0.7122402339424455f, 0.7122738817494526f, 0.7123075279196927f, 0.7123411724530880f,
  0.7123748153495617f, 0.7124084566090363f, 0.7124420962314344f, 0.7124757342166789f,
  0.7125093705646923f, 0.7125430052753975f, 0.7125766383487170f, 0.7126102697845736f,
  0.7126438995828902f, 0.7126775277435892f, 0.7127111542665935f, 0.7127447791518259f,
  0.7127784023992090f, 0.7128120240086655f, 0.7128456439801183f, 0.7128792623134900f,
  0.7129128790087034f, 0.7129464940656813f, 0.7129801074843464f, 0.7130137192646214f,
  0.7130473294064292f, 0.7130809379096925f, 0.7131145447743341f, 0.7131481500002766f,
  0.7131817535874431f, 0.7132153555357561f, 0.7132489558451385f, 0.7132825545155130f,
  0.7133161515468026f, 0.7133497469389298f, 0.7133833406918176f, 0.7134169328053889f,
  0.7134505232795663f, 0.7134841121142725f, 0.7135176993094307f, 0.7135512848649634f,
  0.7135848687807935f, 0.7136184510568440f, 0.7136520316930376f, 0.7136856106892970f,
  0.7137191880455451f, 0.7137527637617049f, 0.7137863378376993f, 0.7138199102734507f,
  0.7138534810688825f, 0.7138870502239172f, 0.7139206177384776f, 0.7139541836124870f,
  0.7139877478458678f, 0.7140213104385432f, 0.7140548713904358f, 0.7140884307014688f,
  0.7141219883715647f, 0.7141555444006467f, 0.7141890987886376f, 0.7142226515354602f,
  0.7142562026410375f, 0.7142897521052923f, 0.7143232999281477f, 0.7143568461095264f,
  0.7143903906493514f, 0.7144239335475456f, 0.7144574748040320f, 0.7144910144187334f,
  0.7145245523915729f, 0.7145580887224732f, 0.7145916234113574f, 0.7146251564581483f,
  0.7146586878627690f, 0.7146922176251425f, 0.7147257457451914f, 0.7147592722228390f,
  0.7147927970580081f, 0.7148263202506219f, 0.7148598418006029f, 0.7148933617078745f,
  0.7149268799723595f, 0.7149603965939808f, 0.7149939115726616f, 0.7150274249083246f,
  0.7150609366008930f, 0.7150944466502898f, 0.7151279550564379f, 0.7151614618192603f,
  0.7151949669386800f, 0.7152284704146201f, 0.7152619722470036f, 0.7152954724357534f,
  0.7153289709807926f, 0.7153624678820442f, 0.7153959631394312f, 0.7154294567528767f,
  0.7154629487223036f, 0.7154964390476353f, 0.7155299277287943f, 0.7155634147657040f,
  0.7155969001582874f, 0.7156303839064675f, 0.7156638660101673f, 0.7156973464693100f,
  0.7157308252838187f, 0.7157643024536162f, 0.7157977779786259f, 0.7158312518587706f,
  0.7158647240939734f, 0.7158981946841576f, 0.7159316636292462f, 0.7159651309291621f,
  0.7159985965838287f, 0.7160320605931689f, 0.7160655229571058f, 0.7160989836755626f,
  0.7161324427484623f, 0.7161659001757281f, 0.7161993559572830f, 0.7162328100930504f,
  0.7162662625829531f, 0.7162997134269145f, 0.7163331626248574f, 0.7163666101767052f,
  0.7164000560823810f, 0.7164335003418079f, 0.7164669429549090f, 0.7165003839216075f,
  0.7165338232418266f, 0.7165672609154895f, 0.7166006969425192f, 0.7166341313228389f,
  0.7166675640563719f, 0.7167009951430413f, 0.7167344245827703f, 0.7167678523754819f,
  0.7168012785210995f, 0.7168347030195462f, 0.7168681258707452f, 0.7169015470746198f,
  0.7169349666310931f, 0.7169683845400884f, 0.7170018008015286f, 0.7170352154153372f,
  0.7170686283814375f, 0.7171020396997524f, 0.7171354493702053f, 0.7171688573927195f,
  0.7172022637672182f, 0.7172356684936244f, 0.7172690715718616f, 0.7173024730018530f,
  0.7173358727835217f, 0.7173692709167911f, 0.7174026674015844f, 0.7174360622378249f,
  0.7174694554254358f, 0.7175028469643404f, 0.7175362368544620f, 0.7175696250957238f,
  0.7176030116880491f, 0.7176363966313611f, 0.7176697799255832f, 0.7177031615706387f,
  0.7177365415664508f, 0.7177699199129429f, 0.7178032966100382f, 0.7178366716576601f,
  0.7178700450557317f, 0.7179034168041766f, 0.7179367869029178f, 0.7179701553518789f,
  0.7180035221509831f, 0.7180368873001538f, 0.7180702507993142f, 0.7181036126483876f,
  0.7181369728472975f, 0.7181703313959672f, 0.7182036882943200f, 0.7182370435422792f,
  0.7182703971397683f, 0.7183037490867105f, 0.7183370993830291f, 0.7183704480286478f,
  0.7184037950234897f, 0.7184371403674783f, 0.7184704840605367f, 0.7185038261025887f,
  0.7185371664935574f, 0.7185705052333661f, 0.7186038423219384f, 0.7186371777591977f,
  0.7186705115450673f, 0.7187038436794706f, 0.7187371741623310f, 0.7187705029935720f,
  0.7188038301731169f, 0.7188371557008891f, 0.7188704795768123f, 0.7189038018008095f,
  0.7189371223728044f, 0.7189704412927205f, 0.7190037585604809f, 0.7190370741760093f,
  0.7190703881392292f, 0.7191037004500638f, 0.7191370111084366f, 0.7191703201142714f,
  0.7192036274674912f, 0.7192369331680197f, 0.7192702372157803f, 0.7193035396106965f,
  0.7193368403526919f, 0.7193701394416896f, 0.7194034368776134f, 0.7194367326603868f,
  0.7194700267899330f, 0.7195033192661758f, 0.7195366100890386f, 0.7195698992584448f,
  0.7196031867743180f, 0.7196364726365818f, 0.7196697568451595f, 0.7197030393999747f,
  0.7197363203009510f, 0.7197695995480118f, 0.7198028771410806f, 0.7198361530800812f,
  0.7198694273649369f, 0.7199026999955712f, 0.7199359709719076f, 0.7199692402938700f,
  0.7200025079613817f, 0.7200357739743661f, 0.7200690383327470f, 0.7201023010364479f,
  0.7201355620853924f, 0.7201688214795039f, 0.7202020792187063f, 0.7202353353029228f,
  0.7202685897320771f, 0.7203018425060930f, 0.7203350936248938f, 0.7203683430884031f,
  0.7204015908965448f, 0.7204348370492422f, 0.7204680815464191f, 0.7205013243879987f,
  0.7205345655739053f, 0.7205678051040619f, 0.7206010429783923f, 0.7206342791968203f,
  0.7206675137592694f, 0.7207007466656633f, 0.7207339779159253f, 0.7207672075099795f,
  0.7208004354477493f, 0.7208336617291583f, 0.7208668863541302f, 0.7209001093225887f,
  0.7209333306344575f, 0.7209665502896602f, 0.7209997682881204f, 0.7210329846297618f,
  0.7210661993145081f, 0.7210994123422829f, 0.7211326237130101f, 0.7211658334266130f,
  0.7211990414830157f, 0.7212322478821417f, 0.7212654526239145f, 0.7212986557082582f,
  0.7213318571350962f, 0.7213650569043524f, 0.7213982550159502f, 0.7214314514698137f,
  0.7214646462658664f, 0.7214978394040319f, 0.7215310308842342f, 0.7215642207063969f,
  0.7215974088704438f, 0.7216305953762984f, 0.7216637802238848f, 0.7216969634131265f,
  0.7217301449439472f, 0.7217633248162708f, 0.7217965030300211f, 0.7218296795851216f,
  0.7218628544814963f, 0.7218960277190689f, 0.7219291992977632f, 0.7219623692175029f,
  0.7219955374782119f, 0.7220287040798138f, 0.7220618690222325f, 0.7220950323053917f,
  0.7221281939292153f, 0.7221613538936271f, 0.7221945121985508f, 0.7222276688439103f,
  0.7222608238296294f, 0.7222939771556318f, 0.7223271288218415f, 0.7223602788281821f,
  0.7223934271745776f, 0.7224265738609517f, 0.7224597188872284f, 0.7224928622533313f,
  0.7225260039591844f, 0.7225591440047117f, 0.7225922823898366f, 0.7226254191144833f,
  0.7226585541785756f, 0.7226916875820373f, 0.7227248193247923f, 0.7227579494067644f,
  0.7227910778278775f, 0.7228242045880555f, 0.7228573296872223f, 0.7228904531253018f,
  0.7229235749022177f, 0.7229566950178939f, 0.7229898134722547f, 0.7230229302652235f,
  0.7230560453967245f, 0.7230891588666813f, 0.7231222706750183f, 0.7231553808216590f,
  0.7231884893065273f, 0.7232215961295475f, 0.7232547012906432f, 0.7232878047897383f,
  0.7233209066267569f, 0.7233540068016229f, 0.7233871053142602f, 0.7234202021645926f,
  0.7234532973525444f, 0.7234863908780392f, 0.7235194827410011f, 0.7235525729413541f,
  0.7235856614790220f, 0.7236187483539290f, 0.7236518335659989f, 0.7236849171151558f,
  0.7237179990013235f, 0.7237510792244261f, 0.7237841577843874f, 0.7238172346811318f,
  0.7238503099145829f, 0.7238833834846647f, 0.7239164553913016f, 0.7239495256344172f,
  0.7239825942139355f, 0.7240156611297808f, 0.7240487263818769f, 0.7240817899701479f,
  0.7241148518945179f, 0.7241479121549106f, 0.7241809707512504f, 0.7242140276834611f,
  0.7242470829514669f, 0.7242801365551917f, 0.7243131884945596f, 0.7243462387694948f,
  0.7243792873799211f, 0.7244123343257627f, 0.7244453796069436f, 0.7244784232233878f,
  0.7245114651750196f, 0.7245445054617629f, 0.7245775440835417f, 0.7246105810402803f,
  0.7246436163319026f, 0.7246766499583327f, 0.7247096819194949f, 0.7247427122153129f,
  0.7247757408457113f, 0.7248087678106138f, 0.7248417931099447f, 0.7248748167436279f,
  0.7249078387115878f, 0.7249408590137484f, 0.7249738776500336f, 0.7250068946203679f,
  0.7250399099246754f, 0.7250729235628799f, 0.7251059355349057f, 0.7251389458406770f,
  0.7251719544801180f, 0.7252049614531526f, 0.7252379667597052f, 0.7252709703996999f,
  0.7253039723730607f, 0.7253369726797120f, 0.7253699713195778f, 0.7254029682925824f,
  0.7254359635986498f, 0.7254689572377043f, 0.7255019492096701f, 0.7255349395144713f,
  0.7255679281520323f, 0.7256009151222770f, 0.7256339004251298f, 0.7256668840605146f,
  0.7256998660283561f, 0.7257328463285782f, 0.7257658249611050f, 0.7257988019258610f,
  0.7258317772227704f, 0.7258647508517571f, 0.7258977228127457f, 0.7259306931056602f,
  0.7259636617304249f, 0.7259966286869641f, 0.7260295939752021f, 0.7260625575950629f,
  0.7260955195464709f, 0.7261284798293505f, 0.7261614384436257f, 0.7261943953892208f,
  0.7262273506660603f, 0.7262603042740683f, 0.7262932562131690f, 0.7263262064832868f,
  0.7263591550843460f, 0.7263921020162708f, 0.7264250472789855f, 0.7264579908724144f,
  0.7264909327964819f, 0.7265238730511122f, 0.7265568116362295f, 0.7265897485517584f,
  0.7266226837976230f, 0.7266556173737475f, 0.7266885492800566f, 0.7267214795164743f,
  0.7267544080829249f, 0.7267873349793330f, 0.7268202602056228f, 0.7268531837617187f,
  0.7268861056475450f, 0.7269190258630259f, 0.7269519444080860f, 0.7269848612826494f,
  0.7270177764866407f, 0.7270506900199841f, 0.7270836018826041f, 0.7271165120744248f,
  0.7271494205953710f, 0.7271823274453668f, 0.7272152326243365f, 0.7272481361322047f,
  0.7272810379688958f, 0.7273139381343340f, 0.7273468366284438f, 0.7273797334511496f,
  0.7274126286023758f, 0.7274455220820467f, 0.7274784138900871f, 0.7275113040264208f,
  0.7275441924909728f, 0.7275770792836672f, 0.7276099644044285f, 0.7276428478531811f,
  0.7276757296298496f, 0.7277086097343582f, 0.7277414881666315f, 0.7277743649265940f,
  0.7278072400141700f, 0.7278401134292839f, 0.7278729851718604f, 0.7279058552418237f,
  0.7279387236390986f, 0.7279715903636093f, 0.7280044554152802f, 0.7280373187940361f,
  0.7280701804998012f, 0.7281030405325001f, 0.7281358988920573f, 0.7281687555783973f,
  0.7282016105914445f, 0.7282344639311236f, 0.7282673155973589f, 0.7283001655900750f,
  0.7283330139091964f, 0.7283658605546476f, 0.7283987055263531f, 0.7284315488242374f,
  0.7284643904482252f, 0.7284972303982409f, 0.7285300686742090f, 0.7285629052760541f,
  0.7285957402037008f, 0.7286285734570735f, 0.7286614050360969f, 0.7286942349406954f,
  0.7287270631707937f, 0.7287598897263163f, 0.7287927146071879f, 0.7288255378133328f,
  0.7288583593446758f, 0.7288911792011413f, 0.7289239973826540f, 0.7289568138891386f,
  0.7289896287205193f, 0.7290224418767212f, 0.7290552533576685f, 0.7290880631632860f,
  0.7291208712934982f, 0.7291536777482298f, 0.7291864825274055f, 0.7292192856309495f,
  0.7292520870587870f, 0.7292848868108421f, 0.7293176848870397f, 0.7293504812873045f,
  0.7293832760115611f, 0.7294160690597339f, 0.7294488604317476f, 0.7294816501275272f,
  0.7295144381469970f, 0.7295472244900818f, 0.7295800091567062f, 0.7296127921467949f,
  0.7296455734602725f, 0.7296783530970637f, 0.7297111310570933f, 0.7297439073402859f,
  0.7297766819465660f, 0.7298094548758586f, 0.7298422261280881f, 0.7298749957031794f,
  0.7299077636010571f, 0.7299405298216459f, 0.7299732943648706f, 0.7300060572306557f,
  0.7300388184189261f, 0.7300715779296066f, 0.7301043357626217f, 0.7301370919178962f,
  0.7301698463953549f, 0.7302025991949223f, 0.7302353503165234f, 0.7302680997600829f,
  0.7303008475255255f, 0.7303335936127758f, 0.7303663380217588f, 0.7303990807523991f,
  0.7304318218046215f, 0.7304645611783508f, 0.7304972988735118f, 0.7305300348900290f,
  0.7305627692278276f, 0.7305955018868320f, 0.7306282328669672f, 0.7306609621681579f,
  0.7306936897903289f, 0.7307264157334050f, 0.7307591399973110f, 0.7307918625819718f,
  0.7308245834873121f, 0.7308573027132567f, 0.7308900202597303f, 0.7309227361266579f,
  0.7309554503139644f, 0.7309881628215744f, 0.7310208736494128f, 0.7310535827974045f,
  0.7310862902654742f, 0.7311189960535470f, 0.7311517001615475f, 0.7311844025894007f,
  0.7312171033370312f, 0.7312498024043641f, 0.7312824997913243f, 0.7313151954978364f,
  0.7313478895238255f, 0.7313805818692164f, 0.7314132725339340f, 0.7314459615179030f,
  0.7314786488210485f, 0.7315113344432953f, 0.7315440183845683f, 0.7315767006447924f,
  0.7316093812238925f, 0.7316420601217936f, 0.7316747373384204f, 0.7317074128736979f,
  0.7317400867275511f, 0.7317727588999047f, 0.7318054293906838f, 0.7318380981998134f,
  0.7318707653272183f, 0.7319034307728234f, 0.7319360945365537f, 0.7319687566183340f,
  0.7320014170180895f, 0.7320340757357451f, 0.7320667327712256f, 0.7320993881244560f,
  0.7321320417953613f, 0.7321646937838665f, 0.7321973440898963f, 0.7322299927133762f,
  0.7322626396542307f, 0.7322952849123849f, 0.7323279284877640f, 0.7323605703802927f,
  0.7323932105898960f, 0.7324258491164991f, 0.7324584859600269f, 0.7324911211204045f,
  0.7325237545975566f, 0.7325563863914086f, 0.7325890165018852f, 0.7326216449289117f,
  0.7326542716724128f, 0.7326868967323138f, 0.7327195201085396f, 0.7327521418010152f,
  0.7327847618096658f, 0.7328173801344162f, 0.7328499967751917f, 0.7328826117319172f,
  0.7329152250045178f, 0.7329478365929185f, 0.7329804464970443f, 0.7330130547168205f,
  0.7330456612521720f, 0.7330782661030238f, 0.7331108692693012f, 0.7331434707509292f,
  0.7331760705478328f, 0.7332086686599371f, 0.7332412650871671f, 0.7332738598294483f,
  0.7333064528867053f, 0.7333390442588634f, 0.7333716339458478f, 0.7334042219475835f,
  0.7334368082639957f, 0.7334693928950095f, 0.7335019758405499f, 0.7335345571005421f,
  0.7335671366749114f, 0.7335997145635826f, 0.7336322907664811f, 0.7336648652835319f,
  0.7336974381146603f, 0.7337300092597913f, 0.7337625787188501f, 0.7337951464917618f,
  0.7338277125784518f, 0.7338602769788449f, 0.7338928396928666f, 0.7339254007204419f,
  0.7339579600614959f, 0.7339905177159540f, 0.7340230736837413f, 0.7340556279647830f,
  0.7340881805590040f, 0.7341207314663299f, 0.7341532806866858f, 0.7341858282199968f,
  0.7342183740661882f, 0.7342509182251852f, 0.7342834606969130f, 0.7343160014812966f,
  0.7343485405782616f, 0.7343810779877330f, 0.7344136137096361f, 0.7344461477438962f,
  0.7344786800904384f, 0.7345112107491879f, 0.7345437397200701f, 0.7345762670030103f,
  0.7346087925979337f, 0.7346413165047653f, 0.7346738387234306f, 0.7347063592538550f,
  0.7347388780959634f, 0.7347713952496815f, 0.7348039107149342f, 0.7348364244916470f,
  0.7348689365797451f, 0.7349014469791538f, 0.7349339556897985f, 0.7349664627116043f,
  0.7349989680444966f, 0.7350314716884008f, 0.7350639736432421f, 0.7350964739089457f,
  0.7351289724854372f, 0.7351614693726417f, 0.7351939645704846f, 0.7352264580788912f,
  0.7352589498977868f, 0.7352914400270968f, 0.7353239284667467f, 0.7353564152166615f,
  0.7353889002767666f, 0.7354213836469877f, 0.7354538653272499f, 0.7354863453174785f,
  0.7355188236175989f, 0.7355513002275366f, 0.7355837751472167f, 0.7356162483765649f,
  0.7356487199155064f, 0.7356811897639667f, 0.7357136579218710f, 0.7357461243891448f,
  0.7357785891657135f, 0.7358110522515026f, 0.7358435136464371f, 0.7358759733504429f,
  0.7359084313634452f, 0.7359408876853692f, 0.7359733423161408f, 0.7360057952556850f,
  0.7360382465039275f, 0.7360706960607933f, 0.7361031439262085f, 0.7361355901000980f,
  0.7361680345823873f, 0.7362004773730021f, 0.7362329184718678f, 0.7362653578789096f,
  0.7362977955940531f, 0.7363302316172239f, 0.7363626659483472f, 0.7363950985873486f,
  0.7364275295341537f, 0.7364599587886878f, 0.7364923863508763f, 0.7365248122206450f,
  0.7365572363979191f, 0.7365896588826243f, 0.7366220796746858f, 0.7366544987740294f,
  0.7366869161805806f, 0.7367193318942645f, 0.7367517459150071f, 0.7367841582427338f,
  0.7368165688773698f, 0.7368489778188411f, 0.7368813850670728f, 0.7369137906219907f,
  0.7369461944835202f, 0.7369785966515869f, 0.7370109971261164f, 0.7370433959070340f,
  0.7370757929942656f, 0.7371081883877366f, 0.7371405820873724f, 0.7371729740930988f,
  0.7372053644048412f, 0.7372377530225253f, 0.7372701399460764f, 0.7373025251754205f,
  0.7373349087104828f, 0.7373672905511891f, 0.7373996706974649f, 0.7374320491492359f,
  0.7374644259064276f, 0.7374968009689655f, 0.7375291743367755f, 0.7375615460097830f,
  0.7375939159879135f, 0.7376262842710929f, 0.7376586508592466f, 0.7376910157523003f,
  0.7377233789501796f, 0.7377557404528102f, 0.7377881002601178f, 0.7378204583720278f,
  0.7378528147884660f, 0.7378851695093580f, 0.7379175225346295f, 0.7379498738642061f,
  0.7379822234980136f, 0.7380145714359774f, 0.7380469176780233f, 0.7380792622240770f,
  0.7381116050740644f, 0.7381439462279106f, 0.7381762856855418f, 0.7382086234468834f,
  0.7382409595118613f, 0.7382732938804011f, 0.7383056265524284f, 0.7383379575278690f,
  0.7383702868066485f, 0.7384026143886929f, 0.7384349402739276f, 0.7384672644622784f,
  0.7384995869536711f, 0.7385319077480313f, 0.7385642268452849f, 0.7385965442453575f,
  0.7386288599481748f, 0.7386611739536627f, 0.7386934862617468f, 0.7387257968723530f,
  0.7387581057854069f, 0.7387904130008343f, 0.7388227185185610f, 0.7388550223385126f,
  0.7388873244606152f, 0.7389196248847942f, 0.7389519236109756f, 0.7389842206390852f,
  0.7390165159690486f, 0.7390488096007918f, 0.7390811015342404f, 0.7391133917693204f,
  0.7391456803059574f, 0.7391779671440774f, 0.7392102522836059f, 0.7392425357244691f,
  0.7392748174665925f, 0.7393070975099021f, 0.7393393758543235f, 0.7393716524997829f,
  0.7394039274462058f, 0.7394362006935181f, 0.7394684722416457f, 0.7395007420905145f,
  0.7395330102400502f, 0.7395652766901788f, 0.7395975414408260f, 0.7396298044919178f,
  0.7396620658433799f, 0.7396943254951384f, 0.7397265834471189f, 0.7397588396992476f,
  0.7397910942514500f, 0.7398233471036522f, 0.7398555982557800f, 0.7398878477077593f,
  0.7399200954595161f, 0.7399523415109762f, 0.7399845858620656f, 0.7400168285127100f,
  0.7400490694628356f, 0.7400813087123680f, 0.7401135462612333f, 0.7401457821093573f,
  0.7401780162566662f, 0.7402102487030856f, 0.7402424794485416f, 0.7402747084929601f,
  0.7403069358362671f, 0.7403391614783883f, 0.7403713854192500f, 0.7404036076587779f,
  0.7404358281968980f, 0.7404680470335364f, 0.7405002641686189f, 0.7405324796020716f,
  0.7405646933338202f, 0.7405969053637911f, 0.7406291156919099f, 0.7406613243181027f,
  0.7406935312422956f, 0.7407257364644145f, 0.7407579399843854f, 0.7407901418021343f,
  0.7408223419175873f, 0.7408545403306702f, 0.7408867370413091f, 0.7409189320494300f,
  0.7409511253549591f, 0.7409833169578222f, 0.7410155068579454f, 0.7410476950552547f,
  0.7410798815496761f, 0.7411120663411357f, 0.7411442494295596f, 0.7411764308148738f,
  0.7412086104970043f, 0.7412407884758772f, 0.7412729647514185f, 0.7413051393235542f,
  0.7413373121922107f, 0.7413694833573137f, 0.7414016528187894f, 0.7414338205765639f,
  0.7414659866305633f, 0.7414981509807136f, 0.7415303136269409f, 0.7415624745691715f,
  0.7415946338073311f, 0.7416267913413461f, 0.7416589471711426f, 0.7416911012966465f,
  0.7417232537177842f, 0.7417554044344815f, 0.7417875534466648f, 0.7418197007542601f,
  0.7418518463571935f, 0.7418839902553911f, 0.7419161324487792f, 0.7419482729372838f,
  0.7419804117208310f, 0.7420125487993471f, 0.7420446841727582f, 0.7420768178409903f,
  0.7421089498039698f, 0.7421410800616228f, 0.7421732086138753f, 0.7422053354606537f,
  0.7422374606018840f, 0.7422695840374924f, 0.7423017057674052f, 0.7423338257915485f,
  0.7423659441098485f, 0.7423980607222312f, 0.7424301756286232f, 0.7424622888289505f,
  0.7424944003231392f, 0.7425265101111157f, 0.7425586181928061f, 0.7425907245681366f,
  0.7426228292370334f, 0.7426549321994229f, 0.7426870334552311f, 0.7427191330043844f,
  0.7427512308468091f, 0.7427833269824312f, 0.7428154214111771f, 0.7428475141329729f,
  0.7428796051477451f, 0.7429116944554198f, 0.7429437820559233f, 0.7429758679491818f,
  0.7430079521351217f, 0.7430400346136691f, 0.7430721153847505f, 0.7431041944482919f,
  0.7431362718042198f, 0.7431683474524604f, 0.7432004213929401f, 0.7432324936255851f,
  0.7432645641503215f, 0.7432966329670760f, 0.7433287000757747f, 0.7433607654763439f,
  0.7433928291687100f, 0.7434248911527992f, 0.7434569514285380f, 0.7434890099958524f,
  0.7435210668546691f, 0.7435531220049143f, 0.7435851754465141f, 0.7436172271793954f,
  0.7436492772034841f, 0.7436813255187066f, 0.7437133721249892f, 0.7437454170222585f,
  0.7437774602104408f, 0.7438095016894622f, 0.7438415414592495f, 0.7438735795197289f,
  0.7439056158708265f, 0.7439376505124690f, 0.7439696834445827f, 0.7440017146670940f,
  0.7440337441799292f, 0.7440657719830149f, 0.7440977980762773f, 0.7441298224596429f,
  0.7441618451330381f, 0.7441938660963894f, 0.7442258853496230f, 0.7442579028926654f,
  0.7442899187254431f, 0.7443219328478826f, 0.7443539452599102f, 0.7443859559614524f,
  0.7444179649524356f, 0.7444499722327862f, 0.7444819778024307f, 0.7445139816612957f,
  0.7445459838093074f, 0.7445779842463923f, 0.7446099829724770f, 0.7446419799874880f,
  0.7446739752913516f, 0.7447059688839944f, 0.7447379607653429f, 0.7447699509353235f,
  0.7448019393938626f, 0.7448339261408868f, 0.7448659111763228f, 0.7448978945000967f,
  0.7449298761121353f, 0.7449618560123651f, 0.7449938342007123f, 0.7450258106771038f,
  0.7450577854414659f, 0.7450897584937253f, 0.7451217298338083f, 0.7451536994616416f,
  0.7451856673771516f, 0.7452176335802649f, 0.7452495980709082f, 0.7452815608490079f,
  0.7453135219144904f, 0.7453454812672826f, 0.7453774389073108f, 0.7454093948345016f,
  0.7454413490487817f, 0.7454733015500775f, 0.7455052523383157f, 0.7455372014134227f,
  0.7455691487753254f, 0.7456010944239501f, 0.7456330383592236f, 0.7456649805810722f,
  0.7456969210894228f, 0.7457288598842019f, 0.7457607969653359f, 0.7457927323327518f,
  0.7458246659863760f, 0.7458565979261351f, 0.7458885281519557f, 0.7459204566637646f,
  0.7459523834614883f, 0.7459843085450534f, 0.7460162319143866f, 0.7460481535694145f,
  0.7460800735100638f, 0.7461119917362611f, 0.7461439082479331f, 0.7461758230450064f,
  0.7462077361274077f, 0.7462396474950637f, 0.7462715571479011f, 0.7463034650858462f,
  0.7463353713088263f, 0.7463672758167677f, 0.7463991786095970f, 0.7464310796872411f,
  0.7464629790496268f, 0.7464948766966805f, 0.7465267726283289f, 0.7465586668444990f,
  0.7465905593451173f, 0.7466224501301104f, 0.7466543391994054f, 0.7466862265529287f,
  0.7467181121906070f, 0.7467499961123674f, 0.7467818783181361f, 0.7468137588078404f,
  0.7468456375814065f, 0.7468775146387615f, 0.7469093899798320f, 0.7469412636045448f,
  0.7469731355128267f, 0.7470050057046045f, 0.7470368741798048f, 0.7470687409383544f,
  0.7471006059801801f, 0.7471324693052088f, 0.7471643309133671f, 0.7471961908045819f,
  0.7472280489787799f, 0.7472599054358878f, 0.7472917601758328f, 0.7473236131985413f,
  0.7473554645039403f, 0.7473873140919564f, 0.7474191619625167f, 0.7474510081155478f,
  0.7474828525509766f, 0.7475146952687298f, 0.7475465362687346f, 0.7475783755509173f,
  0.7476102131152051f, 0.7476420489615249f, 0.7476738830898032f, 0.7477057154999670f,
  0.7477375461919433f, 0.7477693751656589f, 0.7478012024210404f, 0.7478330279580150f,
  0.7478648517765094f, 0.7478966738764505f, 0.7479284942577651f, 0.7479603129203802f,
  0.7479921298642227f, 0.7480239450892193f, 0.7480557585952972f, 0.7480875703823829f,
  0.7481193804504035f, 0.7481511887992860f, 0.7481829954289573f, 0.7482148003393441f,
  0.7482466035303734f, 0.7482784050019722f, 0.7483102047540674f, 0.7483420027865858f,
  0.7483737990994546f, 0.7484055936926004f, 0.7484373865659504f, 0.7484691777194313f,
  0.7485009671529704f, 0.7485327548664944f, 0.7485645408599301f, 0.7485963251332048f,
  0.7486281076862453f, 0.7486598885189786f, 0.7486916676313315f, 0.7487234450232313f,
  0.7487552206946048f, 0.7487869946453789f, 0.7488187668754807f, 0.7488505373848371f,
  0.7488823061733750f, 0.7489140732410218f, 0.7489458385877041f, 0.7489776022133492f,
  0.7490093641178838f, 0.7490411243012352f, 0.7490728827633302f, 0.7491046395040959f,
  0.7491363945234593f, 0.7491681478213476f, 0.7491998993976875f, 0.7492316492524064f,
  0.7492633973854310f, 0.7492951437966887f, 0.7493268884861062f, 0.7493586314536108f,
  0.7493903726991296f, 0.7494221122225893f, 0.7494538500239173f, 0.7494855861030406f,
  0.7495173204598862f, 0.7495490530943811f, 0.7495807840064527f, 0.7496125131960277f,
  0.7496442406630335f, 0.7496759664073970f, 0.7497076904290454f, 0.7497394127279057f,
  0.7497711333039050f, 0.7498028521569705f, 0.7498345692870294f, 0.7498662846940085f,
  0.7498979983778352f, 0.7499297103384366f, 0.7499614205757397f, 0.7499931290896718f,
  0.7500248358801598f, 0.7500565409471309f, 0.7500882442905125f, 0.7501199459102315f,
  0.7501516458062151f, 0.7501833439783904f, 0.7502150404266846f, 0.7502467351510250f,
  0.7502784281513386f, 0.7503101194275528f, 0.7503418089795945f, 0.7503734968073908f,
  0.7504051829108692f, 0.7504368672899568f, 0.7504685499445808f, 0.7505002308746682f,
  0.7505319100801464f, 0.7505635875609425f, 0.7505952633169838f, 0.7506269373481974f,
  0.7506586096545106f, 0.7506902802358506f, 0.7507219490921446f, 0.7507536162233198f,
  0.7507852816293036f, 0.7508169453100230f, 0.7508486072654054f, 0.7508802674953780f,
  0.7509119259998680f, 0.7509435827788026f, 0.7509752378321093f, 0.7510068911597151f,
  0.7510385427615472f, 0.7510701926375333f, 0.7511018407876003f, 0.7511334872116756f,
  0.7511651319096864f, 0.7511967748815601f, 0.7512284161272238f, 0.7512600556466049f,
  0.7512916934396309f, 0.7513233295062287f, 0.7513549638463258f, 0.7513865964598496f,
  0.7514182273467274f, 0.7514498565068862f, 0.7514814839402537f, 0.7515131096467571f,
  0.7515447336263237f, 0.7515763558788807f, 0.7516079764043556f, 0.7516395952026758f,
  0.7516712122737684f, 0.7517028276175610f, 0.7517344412339808f, 0.7517660531229552f,
  0.7517976632844114f, 0.7518292717182771f, 0.7518608784244795f, 0.7518924834029457f,
  0.7519240866536036f, 0.7519556881763800f, 0.7519872879712027f, 0.7520188860379990f,
  0.7520504823766964f, 0.7520820769872220f, 0.7521136698695032f, 0.7521452610234677f,
  0.7521768504490427f, 0.7522084381461557f, 0.7522400241147340f, 0.7522716083547051f,
  0.7523031908659965f, 0.7523347716485353f, 0.7523663507022494f, 0.7523979280270660f,
  0.7524295036229124f, 0.7524610774897162f, 0.7524926496274048f, 0.7525242200359057f,
  0.7525557887151464f, 0.7525873556650542f, 0.7526189208855566f, 0.7526504843765811f,
  0.7526820461380552f, 0.7527136061699065f, 0.7527451644720621f, 0.7527767210444497f,
  0.7528082758869969f, 0.7528398289996310f, 0.7528713803822796f, 0.7529029300348702f,
  0.7529344779573303f, 0.7529660241495871f, 0.7529975686115686f, 0.7530291113432022f,
  0.7530606523444151f, 0.7530921916151351f, 0.7531237291552896f, 0.7531552649648062f,
  0.7531867990436124f, 0.7532183313916359f, 0.7532498620088039f, 0.7532813908950442f,
  0.7533129180502843f, 0.7533444434744517f, 0.7533759671674740f, 0.7534074891292788f,
  0.7534390093597936f, 0.7534705278589460f, 0.7535020446266634f, 0.7535335596628737f,
  0.7535650729675042f, 0.7535965845404826f, 0.7536280943817366f, 0.7536596024911936f,
  0.7536911088687813f, 0.7537226135144272f, 0.7537541164280590f, 0.7537856176096044f,
  0.7538171170589907f, 0.7538486147761458f, 0.7538801107609973f, 0.7539116050134727f,
  0.7539430975334996f, 0.7539745883210058f, 0.7540060773759190f, 0.7540375646981664f,
  0.7540690502876761f, 0.7541005341443756f, 0.7541320162681924f, 0.7541634966590544f,
  0.7541949753168892f, 0.7542264522416242f, 0.7542579274331874f, 0.7542894008915064f,
  0.7543208726165089f, 0.7543523426081223f, 0.7543838108662747f, 0.7544152773908934f,
  0.7544467421819063f, 0.7544782052392411f, 0.7545096665628256f, 0.7545411261525873f,
  0.7545725840084538f, 0.7546040401303532f, 0.7546354945182129f, 0.7546669471719607f,
  0.7546983980915244f, 0.7547298472768317f, 0.7547612947278103f, 0.7547927404443878f,
  0.7548241844264922f, 0.7548556266740513f, 0.7548870671869924f, 0.7549185059652436f,
  0.7549499430087326f, 0.7549813783173871f, 0.7550128118911349f, 0.7550442437299039f,
  0.7550756738336216f, 0.7551071022022159f, 0.7551385288356147f, 0.7551699537337456f,
  0.7552013768965365f, 0.7552327983239152f, 0.7552642180158093f, 0.7552956359721469f,
  0.7553270521928556f, 0.7553584666778633f, 0.7553898794270978f, 0.7554212904404868f,
  0.7554526997179581f, 0.7554841072594398f, 0.7555155130648595f, 0.7555469171341451f,
  0.7555783194672245f, 0.7556097200640254f, 0.7556411189244757f, 0.7556725160485033f,
  0.7557039114360360f, 0.7557353050870015f, 0.7557666970013279f, 0.7557980871789431f,
  0.7558294756197748f, 0.7558608623237508f, 0.7558922472907992f, 0.7559236305208478f,
  0.7559550120138243f, 0.7559863917696569f, 0.7560177697882733f, 0.7560491460696014f,
  0.7560805206135691f, 0.7561118934201044f, 0.7561432644891350f, 0.7561746338205891f,
  0.7562060014143945f, 0.7562373672704791f, 0.7562687313887706f, 0.7563000937691973f,
  0.7563314544116869f, 0.7563628133161674f, 0.7563941704825667f, 0.7564255259108129f,
  0.7564568796008337f, 0.7564882315525572f, 0.7565195817659114f, 0.7565509302408242f,
  0.7565822769772235f, 0.7566136219750373f, 0.7566449652341937f, 0.7566763067546204f,
  0.7567076465362457f, 0.7567389845789974f, 0.7567703208828035f, 0.7568016554475919f,
  0.7568329882732908f, 0.7568643193598281f, 0.7568956487071318f, 0.7569269763151300f,
  0.7569583021837505f, 0.7569896263129214f, 0.7570209487025709f, 0.7570522693526268f,
  0.7570835882630172f, 0.7571149054336701f, 0.7571462208645137f, 0.7571775345554758f,
  0.7572088465064845f, 0.7572401567174680f, 0.7572714651883542f, 0.7573027719190712f,
  0.7573340769095471f, 0.7573653801597100f, 0.7573966816694878f, 0.7574279814388086f,
  0.7574592794676007f, 0.7574905757557919f, 0.7575218703033104f, 0.7575531631100844f,
  0.7575844541760418f, 0.7576157435011107f, 0.7576470310852194f, 0.7576783169282958f,
  0.7577096010302681f, 0.7577408833910643f, 0.7577721640106128f, 0.7578034428888414f,
  0.7578347200256783f, 0.7578659954210517f, 0.7578972690748899f, 0.7579285409871206f,
  0.7579598111576723f, 0.7579910795864729f, 0.7580223462734509f, 0.7580536112185340f,
  0.7580848744216506f, 0.7581161358827290f, 0.7581473956016971f, 0.7581786535784830f,
  0.7582099098130153f, 0.7582411643052218f, 0.7582724170550307f, 0.7583036680623704f,
  0.7583349173271690f, 0.7583661648493544f, 0.7583974106288552f, 0.7584286546655995f,
  0.7584598969595154f, 0.7584911375105311f, 0.7585223763185749f, 0.7585536133835751f,
  0.7585848487054595f, 0.7586160822841569f, 0.7586473141195952f, 0.7586785442117026f,
  0.7587097725604074f, 0.7587409991656379f, 0.7587722240273223f, 0.7588034471453887f,
  0.7588346685197657f, 0.7588658881503813f, 0.7588971060371636f, 0.7589283221800414f,
  0.7589595365789424f, 0.7589907492337952f, 0.7590219601445279f, 0.7590531693110689f,
  0.7590843767333465f, 0.7591155824112888f, 0.7591467863448245f, 0.7591779885338814f,
  0.7592091889783881f, 0.7592403876782727f, 0.7592715846334637f, 0.7593027798438894f,
  0.7593339733094779f, 0.7593651650301577f, 0.7593963550058572f, 0.7594275432365045f,
  0.7594587297220282f, 0.7594899144623565f, 0.7595210974574176f, 0.7595522787071399f,
  0.7595834582114520f, 0.7596146359702820f, 0.7596458119835583f, 0.7596769862512094f,
  0.7597081587731634f, 0.7597393295493489f, 0.7597704985796941f, 0.7598016658641276f,
  0.7598328314025775f, 0.7598639951949723f, 0.7598951572412405f, 0.7599263175413105f,
  0.7599574760951103f, 0.7599886329025688f, 0.7600197879636142f, 0.7600509412781750f,
  0.7600820928461792f, 0.7601132426675559f, 0.7601443907422329f, 0.7601755370701390f,
  0.7602066816512024f, 0.7602378244853517f, 0.7602689655725152f, 0.7603001049126216f,
  0.7603312425055990f, 0.7603623783513760f, 0.7603935124498811f, 0.7604246448010427f,
  0.7604557754047893f, 0.7604869042610491f, 0.7605180313697510f, 0.7605491567308234f,
  0.7605802803441944f, 0.7606114022097928f, 0.7606425223275470f, 0.7606736406973856f,
  0.7607047573192369f, 0.7607358721930295f, 0.7607669853186919f, 0.7607980966961525f,
  0.7608292063253400f, 0.7608603142061828f, 0.7608914203386093f, 0.7609225247225483f,
  0.7609536273579280f, 0.7609847282446773f, 0.7610158273827243f, 0.7610469247719980f,
  0.7610780204124266f, 0.7611091143039387f, 0.7611402064464629f, 0.7611712968399278f,
  0.7612023854842618f, 0.7612334723793936f, 0.7612645575252518f, 0.7612956409217648f,
  0.7613267225688612f, 0.7613578024664699f, 0.7613888806145190f, 0.7614199570129374f,
  0.7614510316616535f, 0.7614821045605961f, 0.7615131757096937f, 0.7615442451088748f,
  0.7615753127580680f, 0.7616063786572022f, 0.7616374428062056f, 0.7616685052050071f,
  0.7616995658535353f, 0.7617306247517187f, 0.7617616818994860f, 0.7617927372967659f,
  0.7618237909434868f, 0.7618548428395777f, 0.7618858929849669f, 0.7619169413795833f,
  0.7619479880233555f, 0.7619790329162119f, 0.7620100760580816f, 0.7620411174488929f,
  0.7620721570885746f, 0.7621031949770554f, 0.7621342311142639f, 0.7621652655001288f,
  0.7621962981345789f, 0.7622273290175428f, 0.7622583581489492f, 0.7622893855287267f,
  0.7623204111568042f, 0.7623514350331103f, 0.7623824571575736f, 0.7624134775301230f,
  0.7624444961506871f, 0.7624755130191947f, 0.7625065281355744f, 0.7625375414997552f,
  0.7625685531116655f, 0.7625995629712341f, 0.7626305710783899f, 0.7626615774330616f,
  0.7626925820351779f, 0.7627235848846676f, 0.7627545859814594f, 0.7627855853254821f,
  0.7628165829166643f, 0.7628475787549351f, 0.7628785728402231f, 0.7629095651724570f,
  0.7629405557515657f, 0.7629715445774780f, 0.7630025316501224f, 0.7630335169694281f,
  0.7630645005353237f, 0.7630954823477381f, 0.7631264624065998f, 0.7631574407118380f,
  0.7631884172633813f, 0.7632193920611585f, 0.7632503651050986f, 0.7632813363951303f,
  0.7633123059311824f, 0.7633432737131838f, 0.7633742397410633f, 0.7634052040147498f,
  0.7634361665341720f, 0.7634671272992589f, 0.7634980863099394f, 0.7635290435661422f,
  0.7635599990677961f, 0.7635909528148302f, 0.7636219048071734f, 0.7636528550447542f,
  0.7636838035275019f, 0.7637147502553451f, 0.7637456952282127f, 0.7637766384460338f,
  0.7638075799087372f, 0.7638385196162516f, 0.7638694575685061f, 0.7639003937654297f,
  0.7639313282069511f, 0.7639622608929992f, 0.7639931918235032f, 0.7640241209983918f,
  0.7640550484175939f, 0.7640859740810385f, 0.7641168979886546f, 0.7641478201403710f,
  0.7641787405361167f, 0.7642096591758207f, 0.7642405760594119f, 0.7642714911868191f,
  0.7643024045579717f, 0.7643333161727982f, 0.7643642260312278f, 0.7643951341331894f,
  0.7644260404786121f, 0.7644569450674247f, 0.7644878478995561f, 0.7645187489749357f,
  0.7645496482934921f, 0.7645805458551544f, 0.7646114416598517f, 0.7646423357075129f,
  0.7646732279980671f, 0.7647041185314433f, 0.7647350073075704f, 0.7647658943263774f,
  0.7647967795877935f, 0.7648276630917475f, 0.7648585448381687f, 0.7648894248269860f,
  0.7649203030581284f, 0.7649511795315250f, 0.7649820542471049f, 0.7650129272047970f,
  0.7650437984045304f, 0.7650746678462343f, 0.7651055355298376f, 0.7651364014552694f,
  0.7651672656224590f, 0.7651981280313351f, 0.7652289886818270f, 0.7652598475738637f,
  0.7652907047073744f, 0.7653215600822880f, 0.7653524136985338f, 0.7653832655560409f,
  0.7654141156547382f, 0.7654449639945550f, 0.7654758105754204f, 0.7655066553972634f,
  0.7655374984600131f, 0.7655683397635987f, 0.7655991793079494f, 0.7656300170929943f,
  0.7656608531186624f, 0.7656916873848830f, 0.7657225198915852f, 0.7657533506386981f,
  0.7657841796261510f, 0.7658150068538728f, 0.7658458323217928f, 0.7658766560298402f,
  0.7659074779779442f, 0.7659382981660339f, 0.7659691165940384f, 0.7659999332618871f,
  0.7660307481695090f, 0.7660615613168333f, 0.7660923727037893f, 0.7661231823303061f,
  0.7661539901963128f, 0.7661847963017390f, 0.7662156006465135f, 0.7662464032305656f,
  0.7662772040538247f, 0.7663080031162198f, 0.7663388004176803f, 0.7663695959581354f,
  0.7664003897375141f, 0.7664311817557460f, 0.7664619720127601f, 0.7664927605084857f,
  0.7665235472428521f, 0.7665543322157886f, 0.7665851154272242f, 0.7666158968770884f,
  0.7666466765653105f, 0.7666774544918195f, 0.7667082306565449f, 0.7667390050594161f,
  0.7667697777003619f, 0.7668005485793121f, 0.7668313176961957f, 0.7668620850509422f,
  0.7668928506434807f, 0.7669236144737406f, 0.7669543765416511f, 0.7669851368471415f,
  0.7670158953901415f, 0.7670466521705800f, 0.7670774071883864f, 0.7671081604434901f,
  0.7671389119358204f, 0.7671696616653066f, 0.7672004096318781f, 0.7672311558354643f,
  0.7672619002759944f, 0.7672926429533978f, 0.7673233838676040f, 0.7673541230185421f,
  0.7673848604061417f, 0.7674155960303319f, 0.7674463298910424f, 0.7674770619882024f,
  0.7675077923217413f, 0.7675385208915884f, 0.7675692476976732f, 0.7675999727399250f,
  0.7676306960182733f, 0.7676614175326475f, 0.7676921372829769f, 0.7677228552691909f,
  0.7677535714912190f, 0.7677842859489906f, 0.7678149986424351f, 0.7678457095714820f,
  0.7678764187360606f, 0.7679071261361005f, 0.7679378317715307f, 0.7679685356422813f,
  0.7679992377482813f, 0.7680299380894602f, 0.7680606366657476f, 0.7680913334770728f,
  0.7681220285233653f, 0.7681527218045547f, 0.7681834133205704f, 0.7682141030713417f,
  0.7682447910567982f, 0.7682754772768695f, 0.7683061617314849f, 0.7683368444205739f,
  0.7683675253440663f, 0.7683982045018911f, 0.7684288818939782f, 0.7684595575202569f,
  0.7684902313806568f, 0.7685209034751074f, 0.7685515738035381f, 0.7685822423658786f,
  0.7686129091620583f, 0.7686435741920068f, 0.7686742374556536f, 0.7687048989529283f,
  0.7687355586837603f, 0.7687662166480792f, 0.7687968728458148f, 0.7688275272768963f,
  0.7688581799412533f, 0.7688888308388155f, 0.7689194799695125f, 0.7689501273332737f,
  0.7689807729300289f, 0.7690114167597074f, 0.7690420588222391f, 0.7690726991175532f,
  0.7691033376455796f, 0.7691339744062479f, 0.7691646093994874f, 0.7691952426252280f,
  0.7692258740833993f, 0.7692565037739306f, 0.7692871316967519f, 0.7693177578517926f,
  0.7693483822389823f, 0.7693790048582507f, 0.7694096257095275f, 0.7694402447927423f,
  0.7694708621078246f, 0.7695014776547042f, 0.7695320914333107f, 0.7695627034435738f,
  0.7695933136854229f, 0.7696239221587881f, 0.7696545288635986f, 0.7696851337997844f,
  0.7697157369672750f, 0.7697463383660003f, 0.7697769379958896f, 0.7698075358568729f,
  0.7698381319488798f, 0.7698687262718400f, 0.7698993188256832f, 0.7699299096103390f,
  0.7699604986257372f, 0.7699910858718074f, 0.7700216713484795f, 0.7700522550556831f,
  0.7700828369933480f, 0.7701134171614037f, 0.7701439955597802f, 0.7701745721884071f,
  0.7702051470472141f, 0.7702357201361311f, 0.7702662914550877f, 0.7702968610040136f,
  0.7703274287828388f, 0.7703579947914929f, 0.7703885590299056f, 0.7704191214980066f,
  0.7704496821957260f, 0.7704802411229933f, 0.7705107982797382f, 0.7705413536658908f,
  0.7705719072813807f, 0.7706024591261377f, 0.7706330092000915f, 0.7706635575031721f,
  0.7706941040353091f, 0.7707246487964325f, 0.7707551917864720f, 0.7707857330053574f,
  0.7708162724530184f, 0.7708468101293852f, 0.7708773460343873f, 0.7709078801679546f,
  0.7709384125300169f, 0.7709689431205042f, 0.7709994719393463f, 0.7710299989864727f,
  0.7710605242618137f, 0.7710910477652990f, 0.7711215694968585f, 0.7711520894564219f,
  0.7711826076439192f, 0.7712131240592803f, 0.7712436387024350f, 0.7712741515733131f,
  0.7713046626718447f, 0.7713351719979595f, 0.7713656795515875f, 0.7713961853326586f,
  0.7714266893411027f, 0.7714571915768494f, 0.7714876920398291f, 0.7715181907299714f,
  0.7715486876472063f, 0.7715791827914638f, 0.7716096761626736f, 0.7716401677607658f,
  0.7716706575856703f, 0.7717011456373171f, 0.7717316319156361f, 0.7717621164205570f,
  0.7717925991520102f, 0.7718230801099253f, 0.7718535592942324f, 0.7718840367048614f,
  0.7719145123417424f, 0.7719449862048052f, 0.7719754582939797f, 0.7720059286091963f,
  0.7720363971503845f, 0.7720668639174745f, 0.7720973289103963f, 0.7721277921290799f,
  0.7721582535734552f, 0.7721887132434523f, 0.7722191711390012f, 0.7722496272600319f,
  0.7722800816064743f, 0.7723105341782586f, 0.7723409849753147f, 0.7723714339975726f,
  0.7724018812449623f, 0.7724323267174141f, 0.7724627704148578f, 0.7724932123372236f,
  0.7725236524844413f, 0.7725540908564411f, 0.7725845274531531f, 0.7726149622745073f,
  0.7726453953204339f, 0.7726758265908625f, 0.7727062560857239f, 0.7727366838049475f,
  0.7727671097484639f, 0.7727975339162027f, 0.7728279563080943f, 0.7728583769240689f,
  0.7728887957640562f, 0.7729192128279866f, 0.7729496281157902f, 0.7729800416273969f,
  0.7730104533627370f, 0.7730408633217405f, 0.7730712715043376f, 0.7731016779104584f,
  0.7731320825400331f, 0.7731624853929917f, 0.7731928864692643f, 0.7732232857687812f,
  0.7732536832914726f, 0.7732840790372684f, 0.7733144730060988f, 0.7733448651978941f,
  0.7733752556125846f, 0.7734056442500999f, 0.7734360311103708f, 0.7734664161933271f,
  0.7734967994988990f, 0.7735271810270169f, 0.7735575607776108f, 0.7735879387506109f,
  0.7736183149459475f, 0.7736486893635506f, 0.7736790620033506f, 0.7737094328652776f,
  0.7737398019492618f, 0.7737701692552336f, 0.7738005347831228f, 0.7738308985328601f,
  0.7738612605043755f, 0.7738916206975993f, 0.7739219791124615f, 0.7739523357488927f,
  0.7739826906068228f, 0.7740130436861823f, 0.7740433949869013f, 0.7740737445089101f,
  0.7741040922521391f, 0.7741344382165183f, 0.7741647824019781f, 0.7741951248084489f,
  0.7742254654358606f, 0.7742558042841439f, 0.7742861413532289f, 0.7743164766430458f,
  0.7743468101535250f, 0.7743771418845969f, 0.7744074718361916f, 0.7744378000082395f,
  0.7744681264006709f, 0.7744984510134161f, 0.7745287738464053f, 0.7745590948995690f,
  0.7745894141728376f, 0.7746197316661411f, 0.7746500473794100f, 0.7746803613125748f,
  0.7747106734655657f, 0.7747409838383128f, 0.7747712924307469f, 0.7748015992427981f,
  0.7748319042743969f, 0.7748622075254734f, 0.7748925089959582f, 0.7749228086857816f,
  0.7749531065948738f, 0.7749834027231656f, 0.7750136970705870f, 0.7750439896370684f,
  0.7750742804225405f, 0.7751045694269334f, 0.7751348566501775f, 0.7751651420922033f,
  0.7751954257529413f, 0.7752257076323218f, 0.7752559877302752f, 0.7752862660467319f,
  0.7753165425816224f, 0.7753468173348771f, 0.7753770903064263f, 0.7754073614962007f,
  0.7754376309041305f, 0.7754678985301462f, 0.7754981643741784f, 0.7755284284361573f,
  0.7755586907160136f, 0.7755889512136775f, 0.7756192099290797f, 0.7756494668621505f,
  0.7756797220128205f, 0.7757099753810203f, 0.7757402269666800f, 0.7757704767697302f,
  0.7758007247901015f, 0.7758309710277246f, 0.7758612154825295f, 0.7758914581544470f,
  0.7759216990434076f, 0.7759519381493418f, 0.7759821754721800f, 0.7760124110118528f,
  0.7760426447682909f, 0.7760728767414243f, 0.7761031069311841f, 0.7761333353375006f,
  0.7761635619603043f, 0.7761937867995258f, 0.7762240098550957f, 0.7762542311269444f,
  0.7762844506150024f, 0.7763146683192005f, 0.7763448842394692f, 0.7763750983757389f,
  0.7764053107279404f, 0.7764355212960040f, 0.7764657300798606f, 0.7764959370794404f,
  0.7765261422946744f, 0.7765563457254929f, 0.7765865473718266f, 0.7766167472336062f,
  0.7766469453107621f, 0.7766771416032249f, 0.7767073361109254f, 0.7767375288337940f,
  0.7767677197717615f, 0.7767979089247585f, 0.7768280962927155f, 0.7768582818755634f,
  0.7768884656732324f, 0.7769186476856536f, 0.7769488279127573f, 0.7769790063544743f,
  0.7770091830107353f, 0.7770393578814708f, 0.7770695309666117f, 0.7770997022660883f,
  0.7771298717798316f, 0.7771600395077721f, 0.7771902054498406f, 0.7772203696059676f,
  0.7772505319760841f, 0.7772806925601204f, 0.7773108513580074f, 0.7773410083696758f,
  0.7773711635950563f, 0.7774013170340794f, 0.7774314686866762f, 0.7774616185527772f,
  0.7774917666323129f, 0.7775219129252144f, 0.7775520574314123f, 0.7775822001508372f,
  0.7776123410834199f, 0.7776424802290913f, 0.7776726175877819f, 0.7777027531594225f,
  0.7777328869439440f, 0.7777630189412771f, 0.7777931491513524f, 0.7778232775741009f,
  0.7778534042094530f, 0.7778835290573399f, 0.7779136521176921f, 0.7779437733904406f,
  0.7779738928755160f, 0.7780040105728491f, 0.7780341264823708f, 0.7780642406040117f,
  0.7780943529377028f, 0.7781244634833748f, 0.7781545722409585f, 0.7781846792103848f,
  0.7782147843915844f, 0.7782448877844883f, 0.7782749893890272f, 0.7783050892051318f,
  0.7783351872327331f, 0.7783652834717620f, 0.7783953779221492f, 0.7784254705838255f,
  0.7784555614567219f, 0.7784856505407692f, 0.7785157378358982f, 0.7785458233420398f,
  0.7785759070591249f, 0.7786059889870844f, 0.7786360691258490f, 0.7786661474753498f,
  0.7786962240355175f, 0.7787262988062831f, 0.7787563717875775f, 0.7787864429793314f,
  0.7788165123814759f, 0.7788465799939419f, 0.7788766458166602f, 0.7789067098495618f,
  0.7789367720925775f, 0.7789668325456384f, 0.7789968912086752f, 0.7790269480816189f,
  0.7790570031644006f, 0.7790870564569511f, 0.7791171079592013f, 0.7791471576710821f,
  0.7791772055925247f, 0.7792072517234598f, 0.7792372960638184f, 0.7792673386135316f,
  0.7792973793725303f, 0.7793274183407453f, 0.7793574555181079f, 0.7793874909045487f,
  0.7794175244999989f, 0.7794475563043894f, 0.7794775863176514f, 0.7795076145397156f,
  0.7795376409705131f, 0.7795676656099751f, 0.7795976884580323f, 0.7796277095146159f,
  0.7796577287796568f, 0.7796877462530861f, 0.7797177619348349f, 0.7797477758248339f,
  0.7797777879230144f, 0.7798077982293076f, 0.7798378067436440f, 0.7798678134659552f,
  0.7798978183961719f, 0.7799278215342254f, 0.7799578228800464f, 0.7799878224335663f,
  0.7800178201947160f, 0.7800478161634266f, 0.7800778103396292f, 0.7801078027232549f,
  0.7801377933142345f, 0.7801677821124995f, 0.7801977691179808f, 0.7802277543306094f,
  0.7802577377503166f, 0.7802877193770333f, 0.7803176992106907f, 0.7803476772512199f,
  0.7803776534985520f, 0.7804076279526182f, 0.7804376006133494f, 0.7804675714806769f,
  0.7804975405545319f, 0.7805275078348454f, 0.7805574733215485f, 0.7805874370145724f,
  0.7806173989138483f, 0.7806473590193073f, 0.7806773173308805f, 0.7807072738484993f,
  0.7807372285720945f, 0.7807671815015974f, 0.7807971326369393f, 0.7808270819780513f,
  0.7808570295248645f, 0.7808869752773102f, 0.7809169192353195f, 0.7809468613988236f,
  0.7809768017677537f, 0.7810067403420411f, 0.7810366771216168f, 0.7810666121064123f,
  0.7810965452963584f, 0.7811264766913868f, 0.7811564062914282f, 0.7811863340964142f,
  0.7812162601062761f, 0.7812461843209447f, 0.7812761067403516f, 0.7813060273644279f,
  0.7813359461931050f, 0.7813658632263137f, 0.7813957784639859f, 0.7814256919060524f,
  0.7814556035524445f, 0.7814855134030937f, 0.7815154214579311f, 0.7815453277168879f,
  0.7815752321798956f, 0.7816051348468852f, 0.7816350357177883f, 0.7816649347925358f,
  0.7816948320710594f, 0.7817247275532901f, 0.7817546212391595f, 0.7817845131285985f,
  0.7818144032215388f, 0.7818442915179116f, 0.7818741780176480f, 0.7819040627206796f,
  0.7819339456269376f, 0.7819638267363532f, 0.7819937060488581f, 0.7820235835643834f,
  0.7820534592828604f, 0.7820833332042204f, 0.7821132053283950f, 0.7821430756553154f,
  0.7821729441849129f, 0.7822028109171191f, 0.7822326758518651f, 0.7822625389890824f,
  0.7822924003287024f, 0.7823222598706564f, 0.7823521176148758f, 0.7823819735612920f,
  0.7824118277098364f, 0.7824416800604405f, 0.7824715306130355f, 0.7825013793675529f,
  0.7825312263239242f, 0.7825610714820808f, 0.7825909148419539f, 0.7826207564034751f,
  0.7826505961665757f, 0.7826804341311874f, 0.7827102702972413f, 0.7827401046646691f,
  0.7827699372334020f, 0.7827997680033718f, 0.7828295969745096f, 0.7828594241467470f,
  0.7828892495200155f, 0.7829190730942465f, 0.7829488948693715f, 0.7829787148453218f,
  0.7830085330220291f, 0.7830383493994248f, 0.7830681639774405f, 0.7830979767560075f,
  0.7831277877350573f, 0.7831575969145216f, 0.7831874042943315f, 0.7832172098744190f,
  0.7832470136547154f, 0.7832768156351521f, 0.7833066158156607f, 0.7833364141961727f,
  0.7833662107766197f, 0.7833960055569332f, 0.7834257985370446f, 0.7834555897168858f,
  0.7834853790963878f, 0.7835151666754826f, 0.7835449524541016f, 0.7835747364321762f,
  0.7836045186096382f, 0.7836342989864191f, 0.7836640775624504f, 0.7836938543376636f,
  0.7837236293119905f, 0.7837534024853625f, 0.7837831738577111f, 0.7838129434289682f,
  0.7838427111990652f, 0.7838724771679336f, 0.7839022413355052f, 0.7839320037017115f,
  0.7839617642664841f, 0.7839915230297546f, 0.7840212799914547f, 0.7840510351515160f,
  0.7840807885098700f, 0.7841105400664484f, 0.7841402898211829f, 0.7841700377740051f,
  0.7841997839248466f, 0.7842295282736391f, 0.7842592708203142f, 0.7842890115648036f,
  0.7843187505070389f, 0.7843484876469519f, 0.7843782229844740f, 0.7844079565195371f,
  0.7844376882520727f, 0.7844674181820128f, 0.7844971463092887f, 0.7845268726338323f,
  0.7845565971555752f, 0.7845863198744492f, 0.7846160407903859f, 0.7846457599033171f,
  0.7846754772131743f, 0.7847051927198895f, 0.7847349064233942f, 0.7847646183236202f,
  0.7847943284204992f, 0.7848240367139629f, 0.7848537432039432f, 0.7848834478903716f,
  0.7849131507731800f, 0.7849428518523002f, 0.7849725511276636f, 0.7850022485992023f,
  0.7850319442668481f, 0.7850616381305324f, 0.7850913301901873f, 0.7851210204457444f,
  0.7851507088971356f, 0.7851803955442925f, 0.7852100803871470f, 0.7852397634256308f,
  0.7852694446596760f, 0.7852991240892139f, 0.7853288017141766f, 0.7853584775344959f,
  0.7853881515501036f, 0.7854178237609314f, 0.7854474941669112f, 0.7854771627679747f,
  0.7855068295640539f, 0.7855364945550806f, 0.7855661577409866f, 0.7855958191217036f,
  0.7856254786971637f, 0.7856551364672986f, 0.7856847924320400f, 0.7857144465913199f,
  0.7857440989450704f, 0.7857737494932229f, 0.7858033982357095f, 0.7858330451724621f,
  0.7858626903034126f, 0.7858923336284926f, 0.7859219751476344f, 0.7859516148607696f,
  0.7859812527678302f, 0.7860108888687479f, 0.7860405231634550f, 0.7860701556518830f,
  0.7860997863339638f, 0.7861294152096298f, 0.7861590422788124f, 0.7861886675414437f,
  0.7862182909974555f, 0.7862479126467801f, 0.7862775324893491f, 0.7863071505250945f,
  0.7863367667539483f, 0.7863663811758423f, 0.7863959937907086f, 0.7864256045984791f,
  0.7864552135990858f, 0.7864848207924605f, 0.7865144261785354f, 0.7865440297572422f,
  0.7865736315285132f, 0.7866032314922802f, 0.7866328296484750f, 0.7866624259970300f,
  0.7866920205378767f, 0.7867216132709475f, 0.7867512041961743f, 0.7867807933134889f,
  0.7868103806228235f, 0.7868399661241101f, 0.7868695498172806f, 0.7868991317022671f,
  0.7869287117790017f, 0.7869582900474164f, 0.7869878665074430f, 0.7870174411590138f,
  0.7870470140020608f, 0.7870765850365159f, 0.7871061542623112f, 0.7871357216793788f,
  0.7871652872876509f, 0.7871948510870592f, 0.7872244130775362f, 0.7872539732590136f,
  0.7872835316314236f, 0.7873130881946983f, 0.7873426429487698f, 0.7873721958935701f,
  0.7874017470290313f, 0.7874312963550857f, 0.7874608438716652f, 0.7874903895787018f,
  0.7875199334761278f, 0.7875494755638752f, 0.7875790158418763f, 0.7876085543100629f,
  0.7876380909683675f, 0.7876676258167218f, 0.7876971588550583f, 0.7877266900833090f,
  0.7877562195014060f, 0.7877857471092815f, 0.7878152729068675f, 0.7878447968940964f,
  0.7878743190709002f, 0.7879038394372111f, 0.7879333579929613f, 0.7879628747380828f,
  0.7879923896725080f, 0.7880219027961688f, 0.7880514141089977f, 0.7880809236109267f,
  0.7881104313018881f, 0.7881399371818139f, 0.7881694412506365f, 0.7881989435082879f,
  0.7882284439547005f, 0.7882579425898064f, 0.7882874394135378f, 0.7883169344258271f,
  0.7883464276266062f, 0.7883759190158077f, 0.7884054085933635f, 0.7884348963592060f,
  0.7884643823132674f, 0.7884938664554800f, 0.7885233487857760f, 0.7885528293040877f,
  0.7885823080103472f, 0.7886117849044869f, 0.7886412599864391f, 0.7886707332561359f,
  0.7887002047135097f, 0.7887296743584927f, 0.7887591421910174f, 0.7887886082110157f,
  0.7888180724184202f, 0.7888475348131632f, 0.7888769953951767f, 0.7889064541643933f,
  0.7889359111207451f, 0.7889653662641647f, 0.7889948195945841f, 0.7890242711119356f,
  0.7890537208161519f, 0.7890831687071650f, 0.7891126147849072f, 0.7891420590493111f,
  0.7891715015003089f, 0.7892009421378329f, 0.7892303809618154f, 0.7892598179721889f,
  0.7892892531688857f, 0.7893186865518381f, 0.7893481181209785f, 0.7893775478762394f,
  0.7894069758175528f, 0.7894364019448515f, 0.7894658262580677f, 0.7894952487571338f,
  0.7895246694419822f, 0.7895540883125453f, 0.7895835053687553f, 0.7896129206105449f,
  0.7896423340378463f, 0.7896717456505921f, 0.7897011554487144f, 0.7897305634321460f,
  0.7897599696008191f, 0.7897893739546661f, 0.7898187764936195f, 0.7898481772176118f,
  0.7898775761265754f, 0.7899069732204426f, 0.7899363684991459f, 0.7899657619626180f,
  0.7899951536107911f, 0.7900245434435976f, 0.7900539314609702f, 0.7900833176628413f,
  0.7901127020491433f, 0.7901420846198086f, 0.7901714653747699f, 0.7902008443139595f,
  0.7902302214373100f, 0.7902595967447539f, 0.7902889702362236f, 0.7903183419116516f,
  0.7903477117709705f, 0.7903770798141128f, 0.7904064460410108f, 0.7904358104515974f,
  0.7904651730458049f, 0.7904945338235657f, 0.7905238927848126f, 0.7905532499294781f,
  0.7905826052574945f, 0.7906119587687945f, 0.7906413104633107f, 0.7906706603409756f,
  0.7907000084017216f, 0.7907293546454816f, 0.7907586990721878f, 0.7907880416817730f,
  0.7908173824741697f, 0.7908467214493106f, 0.7908760586071281f, 0.7909053939475547f,
  0.7909347274705233f, 0.7909640591759663f, 0.7909933890638163f, 0.7910227171340060f,
  0.7910520433864680f, 0.7910813678211346f, 0.7911106904379389f, 0.7911400112368132f,
  0.7911693302176902f, 0.7911986473805025f, 0.7912279627251828f, 0.7912572762516636f,
  0.7912865879598777f, 0.7913158978497578f, 0.7913452059212364f, 0.7913745121742460f,
  0.7914038166087195f, 0.7914331192245896f, 0.7914624200217888f, 0.7914917190002497f,
  0.7915210161599052f, 0.7915503115006879f, 0.7915796050225304f, 0.7916088967253655f,
  0.7916381866091258f, 0.7916674746737440f, 0.7916967609191529f, 0.7917260453452850f,
  0.7917553279520733f, 0.7917846087394501f, 0.7918138877073485f, 0.7918431648557011f,
  0.7918724401844405f, 0.7919017136934996f, 0.7919309853828110f, 0.7919602552523075f,
  0.7919895233019218f, 0.7920187895315868f, 0.7920480539412350f, 0.7920773165307992f,
  0.7921065773002124f, 0.7921358362494071f, 0.7921650933783161f, 0.7921943486868722f,
  0.7922236021750083f, 0.7922528538426571f, 0.7922821036897512f, 0.7923113517162237f,
  0.7923405979220071f, 0.7923698423070343f, 0.7923990848712382f, 0.7924283256145516f,
  0.7924575645369071f, 0.7924868016382376f, 0.7925160369184761f, 0.7925452703775551f,
  0.7925745020154076f, 0.7926037318319665f, 0.7926329598271646f, 0.7926621860009346f,
  0.7926914103532094f, 0.7927206328839220f, 0.7927498535930051f, 0.7927790724803915f,
  0.7928082895460141f, 0.7928375047898059f, 0.7928667182116995f, 0.7928959298116280f,
  0.7929251395895243f, 0.7929543475453210f, 0.7929835536789512f, 0.7930127579903479f,
  0.7930419604794436f, 0.7930711611461716f, 0.7931003599904646f, 0.7931295570122555f,
  0.7931587522114771f, 0.7931879455880626f, 0.7932171371419448f, 0.7932463268730565f,
  0.7932755147813306f, 0.7933047008667004f, 0.7933338851290983f, 0.7933630675684575f,
  0.7933922481847111f, 0.7934214269777918f, 0.7934506039476328f, 0.7934797790941666f,
  0.7935089524173267f, 0.7935381239170456f, 0.7935672935932565f, 0.7935964614458925f,
  0.7936256274748862f, 0.7936547916801708f, 0.7936839540616795f, 0.7937131146193449f,
  0.7937422733531002f, 0.7937714302628782f, 0.7938005853486122f, 0.7938297386102351f,
  0.7938588900476796f, 0.7938880396608792f, 0.7939171874497666f, 0.7939463334142750f,
  0.7939754775543372f, 0.7940046198698864f, 0.7940337603608555f, 0.7940628990271776f,
  0.7940920358687860f, 0.7941211708856133f, 0.7941503040775928f, 0.7941794354446575f,
  0.7942085649867406f, 0.7942376927037750f, 0.7942668185956936f, 0.7942959426624299f,
  0.7943250649039166f, 0.7943541853200869f, 0.7943833039108740f, 0.7944124206762109f,
  0.7944415356160306f, 0.7944706487302663f, 0.7944997600188511f, 0.7945288694817181f,
  0.7945579771188003f, 0.7945870829300310f, 0.7946161869153432f, 0.7946452890746699f,
  0.7946743894079445f, 0.7947034879151000f, 0.7947325845960695f, 0.7947616794507861f,
  0.7947907724791832f, 0.7948198636811935f, 0.7948489530567505f, 0.7948780406057873f,
  0.7949071263282370f, 0.7949362102240327f, 0.7949652922931076f, 0.7949943725353951f,
  0.7950234509508282f, 0.7950525275393399f, 0.7950816023008636f, 0.7951106752353324f,
  0.7951397463426796f, 0.7951688156228383f, 0.7951978830757417f, 0.7952269487013230f,
  0.7952560124995155f, 0.7952850744702524f, 0.7953141346134668f, 0.7953431929290919f,
  0.7953722494170612f, 0.7954013040773077f, 0.7954303569097646f, 0.7954594079143653f,
  0.7954884570910430f, 0.7955175044397309f, 0.7955465499603621f, 0.7955755936528701f,
  0.7956046355171882f, 0.7956336755532494f, 0.7956627137609871f, 0.7956917501403346f,
  0.7957207846912251f, 0.7957498174135920f, 0.7957788483073686f, 0.7958078773724879f,
  0.7958369046088835f, 0.7958659300164886f, 0.7958949535952365f, 0.7959239753450604f,
  0.7959529952658939f, 0.7959820133576700f, 0.7960110296203222f, 0.7960400440537837f,
  0.7960690566579880f, 0.7960980674328683f, 0.7961270763783578f, 0.7961560834943900f,
  0.7961850887808984f, 0.7962140922378161f, 0.7962430938650765f, 0.7962720936626131f,
  0.7963010916303591f, 0.7963300877682479f, 0.7963590820762130f, 0.7963880745541875f,
  0.7964170652021050f, 0.7964460540198988f, 0.7964750410075023f, 0.7965040261648489f,
  0.7965330094918720f, 0.7965619909885050f, 0.7965909706546812f, 0.7966199484903341f,
  0.7966489244953971f, 0.7966778986698038f, 0.7967068710134873f, 0.7967358415263811f,
  0.7967648102084187f, 0.7967937770595336f, 0.7968227420796591f, 0.7968517052687287f,
  0.7968806666266759f, 0.7969096261534340f, 0.7969385838489366f, 0.7969675397131170f,
  0.7969964937459088f, 0.7970254459472453f, 0.7970543963170603f, 0.7970833448552870f,
  0.7971122915618589f, 0.7971412364367095f, 0.7971701794797724f, 0.7971991206909810f,
  0.7972280600702687f, 0.7972569976175692f, 0.7972859333328158f, 0.7973148672159421f,
  0.7973437992668817f, 0.7973727294855680f, 0.7974016578719345f, 0.7974305844259149f,
  0.7974595091474425f, 0.7974884320364509f, 0.7975173530928737f, 0.7975462723166444f,
  0.7975751897076967f, 0.7976041052659638f, 0.7976330189913796f, 0.7976619308838776f,
  0.7976908409433910f, 0.7977197491698539f, 0.7977486555631995f, 0.7977775601233617f,
  0.7978064628502736f, 0.7978353637438691f, 0.7978642628040818f, 0.7978931600308452f,
  0.7979220554240930f, 0.7979509489837587f, 0.7979798407097759f, 0.7980087306020782f,
  0.7980376186605994f, 0.7980665048852729f, 0.7980953892760323f, 0.7981242718328114f,
  0.7981531525555439f, 0.7981820314441630f, 0.7982109084986028f, 0.7982397837187967f,
  0.7982686571046783f, 0.7982975286561815f, 0.7983263983732398f, 0.7983552662557869f,
  0.7983841323037564f, 0.7984129965170820f, 0.7984418588956973f, 0.7984707194395361f,
  0.7984995781485320f, 0.7985284350226188f, 0.7985572900617300f, 0.7985861432657995f,
  0.7986149946347608f, 0.7986438441685478f, 0.7986726918670940f, 0.7987015377303333f,
  0.7987303817581992f, 0.7987592239506255f, 0.7987880643075461f, 0.7988169028288945f,
  0.7988457395146046f, 0.7988745743646100f, 0.7989034073788445f, 0.7989322385572418f,
  0.7989610678997358f, 0.7989898954062600f, 0.7990187210767484f, 0.7990475449111346f,
  0.7990763669093524f, 0.7991051870713356f, 0.7991340053970180f, 0.7991628218863331f,
  0.7991916365392152f, 0.7992204493555977f, 0.7992492603354144f, 0.7992780694785994f,
  0.7993068767850862f, 0.7993356822548086f, 0.7993644858877005f, 0.7993932876836957f,
  0.7994220876427280f, 0.7994508857647313f, 0.7994796820496394f, 0.7995084764973860f,
  0.7995372691079050f, 0.7995660598811303f, 0.7995948488169957f, 0.7996236359154351f,
  0.7996524211763821f, 0.7996812045997710f, 0.7997099861855352f, 0.7997387659336088f,
  0.7997675438439257f, 0.7997963199164196f, 0.7998250941510245f, 0.7998538665476743f,
  0.7998826371063028f, 0.7999114058268439f, 0.7999401727092315f, 0.7999689377533995f,
  0.7999977009592819f, 0.8000264623268124f, 0.8000552218559250f, 0.8000839795465537f,
  0.8001127353986324f, 0.8001414894120948f, 0.8001702415868751f, 0.8001989919229071f,
  0.8002277404201248f, 0.8002564870784620f, 0.8002852318978528f, 0.8003139748782311f,
  0.8003427160195307f, 0.8003714553216857f, 0.8004001927846301f, 0.8004289284082978f,
  0.8004576621926227f, 0.8004863941375390f, 0.8005151242429803f, 0.8005438525088809f,
  0.8005725789351748f, 0.8006013035217958f, 0.8006300262686779f, 0.8006587471757551f,
  0.8006874662429616f, 0.8007161834702312f, 0.8007448988574980f, 0.8007736124046959f,
  0.8008023241117591f, 0.8008310339786214f, 0.8008597420052171f, 0.8008884481914801f,
  0.8009171525373443f, 0.8009458550427440f, 0.8009745557076129f, 0.8010032545318854f,
  0.8010319515154953f, 0.8010606466583768f, 0.8010893399604639f, 0.8011180314216907f,
  0.8011467210419912f, 0.8011754088212997f, 0.8012040947595499f, 0.8012327788566762f,
  0.8012614611126125f, 0.8012901415272929f, 0.8013188201006516f, 0.8013474968326227f,
  0.8013761717231402f, 0.8014048447721382f, 0.8014335159795510f, 0.8014621853453125f,
  0.8014908528693568f, 0.8015195185516183f, 0.8015481823920310f, 0.8015768443905288f,
  0.8016055045470460f, 0.8016341628615169f, 0.8016628193338755f, 0.8016914739640559f,
  0.8017201267519923f, 0.8017487776976189f, 0.8017774268008698f, 0.8018060740616793f,
  0.8018347194799813f, 0.8018633630557103f, 0.8018920047888001f, 0.8019206446791852f,
  0.8019492827267998f, 0.8019779189315778f, 0.8020065532934536f, 0.8020351858123616f,
  0.8020638164882355f, 0.8020924453210099f, 0.8021210723106189f, 0.8021496974569967f,
  0.8021783207600774f, 0.8022069422197956f, 0.8022355618360851f, 0.8022641796088804f,
  0.8022927955381157f, 0.8023214096237252f, 0.8023500218656431f, 0.8023786322638037f,
  0.8024072408181413f, 0.8024358475285901f, 0.8024644523950843f, 0.8024930554175583f,
  0.8025216565959463f, 0.8025502559301827f, 0.8025788534202015f, 0.8026074490659373f,
  0.8026360428673243f, 0.8026646348242965f, 0.8026932249367886f, 0.8027218132047347f,
  0.8027503996280692f, 0.8027789842067262f, 0.8028075669406404f, 0.8028361478297457f,
  0.8028647268739766f, 0.8028933040732675f, 0.8029218794275528f, 0.8029504529367665f,
  0.8029790246008431f, 0.8030075944197171f, 0.8030361623933228f, 0.8030647285215944f,
  0.8030932928044664f, 0.8031218552418731f, 0.8031504158337487f, 0.8031789745800280f,
  0.8032075314806449f, 0.8032360865355340f, 0.8032646397446298f, 0.8032931911078665f,
  0.8033217406251786f, 0.8033502882965003f, 0.8033788341217662f, 0.8034073781009108f,
  0.8034359202338681f, 0.8034644605205730f, 0.8034929989609595f, 0.8035215355549622f,
  0.8035500703025156f, 0.8035786032035541f, 0.8036071342580120f, 0.8036356634658238f,
  0.8036641908269241f, 0.8036927163412472f, 0.8037212400087274f, 0.8037497618292994f,
  0.8037782818028976f, 0.8038067999294564f, 0.8038353162089102f, 0.8038638306411937f,
  0.8038923432262413f, 0.8039208539639873f, 0.8039493628543665f, 0.8039778698973130f,
  0.8040063750927615f, 0.8040348784406466f, 0.8040633799409027f, 0.8040918795934642f,
  0.8041203773982657f, 0.8041488733552418f, 0.8041773674643269f, 0.8042058597254556f,
  0.8042343501385623f, 0.8042628387035816f, 0.8042913254204481f, 0.8043198102890963f,
  0.8043482933094608f, 0.8043767744814759f, 0.8044052538050764f, 0.8044337312801969f,
  0.8044622069067718f, 0.8044906806847356f, 0.8045191526140231f, 0.8045476226945687f,
  0.8045760909263071f, 0.8046045573091727f, 0.8046330218431003f, 0.8046614845280243f,
  0.8046899453638795f, 0.8047184043506003f, 0.8047468614881214f, 0.8047753167763774f,
  0.8048037702153028f, 0.8048322218048325f, 0.8048606715449008f, 0.8048891194354425f,
  0.8049175654763921f, 0.8049460096676845f, 0.8049744520092541f, 0.8050028925010355f,
  0.8050313311429637f, 0.8050597679349728f, 0.8050882028769979f, 0.8051166359689734f,
  0.8051450672108342f, 0.8051734966025147f, 0.8052019241439499f, 0.8052303498350741f,
  0.8052587736758222f, 0.8052871956661289f, 0.8053156158059288f, 0.8053440340951566f,
  0.8053724505337471f, 0.8054008651216349f, 0.8054292778587547f, 0.8054576887450412f,
  0.8054860977804291f, 0.8055145049648533f, 0.8055429102982483f, 0.8055713137805490f,
  0.8055997154116900f, 0.8056281151916060f, 0.8056565131202319f, 0.8056849091975024f,
  0.8057133034233521f, 0.8057416957977159f, 0.8057700863205286f, 0.8057984749917247f,
  0.8058268618112393f, 0.8058552467790070f, 0.8058836298949625f, 0.8059120111590408f,
  0.8059403905711763f, 0.8059687681313041f, 0.8059971438393591f, 0.8060255176952756f,
  0.8060538896989889f, 0.8060822598504337f, 0.8061106281495447f, 0.8061389945962566f,
  0.8061673591905043f, 0.8061957219322228f, 0.8062240828213467f, 0.8062524418578110f,
  0.8062807990415504f, 0.8063091543724997f, 0.8063375078505940f, 0.8063658594757679f,
  0.8063942092479564f, 0.8064225571670941f, 0.8064509032331161f, 0.8064792474459572f,
  0.8065075898055523f, 0.8065359303118361f, 0.8065642689647438f, 0.8065926057642100f,
  0.8066209407101697f, 0.8066492738025577f, 0.8066776050413089f, 0.8067059344263583f,
  0.8067342619576408f, 0.8067625876350912f, 0.8067909114586445f, 0.8068192334282355f,
  0.8068475535437992f, 0.8068758718052707f, 0.8069041882125845f, 0.8069325027656759f,
  0.8069608154644796f, 0.8069891263089307f, 0.8070174352989642f, 0.8070457424345148f,
  0.8070740477155176f, 0.8071023511419075f, 0.8071306527136196f, 0.8071589524305888f,
  0.8071872502927498f, 0.8072155463000381f, 0.8072438404523883f, 0.8072721327497353f,
  0.8073004231920144f, 0.8073287117791605f, 0.8073569985111084f, 0.8073852833877934f,
  0.8074135664091502f, 0.8074418475751139f, 0.8074701268856197f, 0.8074984043406024f,
  0.8075266799399972f, 0.8075549536837389f, 0.8075832255717627f, 0.8076114956040035f,
  0.8076397637803965f, 0.8076680301008765f, 0.8076962945653788f, 0.8077245571738385f,
  0.8077528179261904f, 0.8077810768223695f, 0.8078093338623112f, 0.8078375890459505f,
  0.8078658423732221f, 0.8078940938440615f, 0.8079223434584036f, 0.8079505912161835f,
  0.8079788371173363f, 0.8080070811617971f, 0.8080353233495009f, 0.8080635636803829f,
  0.8080918021543783f, 0.8081200387714220f, 0.8081482735314492f, 0.8081765064343951f,
  0.8082047374801947f, 0.8082329666687832f, 0.8082611940000957f, 0.8082894194740674f,
  0.8083176430906333f, 0.8083458648497286f, 0.8083740847512886f, 0.8084023027952483f,
  0.8084305189815427f, 0.8084587333101073f, 0.8084869457808771f, 0.8085151563937872f,
  0.8085433651487730f, 0.8085715720457695f, 0.8085997770847118f, 0.8086279802655352f,
  0.8086561815881750f, 0.8086843810525662f, 0.8087125786586441f, 0.8087407744063440f,
  0.8087689682956009f, 0.8087971603263500f, 0.8088253504985267f, 0.8088535388120662f,
  0.8088817252669036f, 0.8089099098629742f, 0.8089380926002133f, 0.8089662734785560f,
  0.8089944524979376f, 0.8090226296582934f, 0.8090508049595586f, 0.8090789784016684f,
  0.8091071499845581f, 0.8091353197081631f, 0.8091634875724185f, 0.8091916535772596f,
  0.8092198177226217f, 0.8092479800084402f, 0.8092761404346501f, 0.8093042990011869f,
  0.8093324557079858f, 0.8093606105549823f, 0.8093887635421114f, 0.8094169146693085f,
  0.8094450639365092f, 0.8094732113436484f, 0.8095013568906616f, 0.8095295005774841f,
  0.8095576424040513f, 0.8095857823702984f, 0.8096139204761609f, 0.8096420567215740f,
  0.8096701911064731f, 0.8096983236307935f, 0.8097264542944707f, 0.8097545830974399f,
  0.8097827100396364f, 0.8098108351209958f, 0.8098389583414535f, 0.8098670797009444f,
  0.8098951991994044f, 0.8099233168367688f, 0.8099514326129726f, 0.8099795465279517f,
  0.8100076585816411f, 0.8100357687739764f, 0.8100638771048930f, 0.8100919835743263f,
  0.8101200881822117f, 0.8101481909284844f, 0.8101762918130803f, 0.8102043908359344f,
  0.8102324879969823f, 0.8102605832961595f, 0.8102886767334012f, 0.8103167683086432f,
  0.8103448580218205f, 0.8103729458728690f, 0.8104010318617239f, 0.8104291159883206f,
  0.8104571982525948f, 0.8104852786544818f, 0.8105133571939170f, 0.8105414338708362f,
  0.8105695086851746f, 0.8105975816368678f, 0.8106256527258511f, 0.8106537219520603f,
  0.8106817893154307f, 0.8107098548158977f, 0.8107379184533972f, 0.8107659802278644f,
  0.8107940401392348f, 0.8108220981874440f, 0.8108501543724276f, 0.8108782086941210f,
  0.8109062611524597f, 0.8109343117473794f, 0.8109623604788156f, 0.8109904073467037f,
  0.8110184523509795f, 0.8110464954915784f, 0.8110745367684359f, 0.8111025761814876f,
  0.8111306137306692f, 0.8111586494159161f, 0.8111866832371639f, 0.8112147151943483f,
  0.8112427452874048f, 0.8112707735162690f, 0.8112987998808765f, 0.8113268243811629f,
  0.8113548470170637f, 0.8113828677885147f, 0.8114108866954514f, 0.8114389037378094f,
  0.8114669189155242f, 0.8114949322285318f, 0.8115229436767675f, 0.8115509532601669f,
  0.8115789609786659f, 0.8116069668321999f, 0.8116349708207047f, 0.8116629729441158f,
  0.8116909732023690f, 0.8117189715954000f, 0.8117469681231442f, 0.8117749627855374f,
  0.8118029555825154f, 0.8118309465140138f, 0.8118589355799680f, 0.8118869227803142f,
  0.8119149081149877f, 0.8119428915839243f, 0.8119708731870597f, 0.8119988529243296f,
  0.8120268307956697f, 0.8120548068010157f, 0.8120827809403034f, 0.8121107532134685f,
  0.8121387236204465f, 0.8121666921611733f, 0.8121946588355847f, 0.8122226236436163f,
  0.8122505865852039f, 0.8122785476602833f, 0.8123065068687901f, 0.8123344642106601f,
  0.8123624196858291f, 0.8123903732942329f, 0.8124183250358072f, 0.8124462749104878f,
  0.8124742229182105f, 0.8125021690589109f, 0.8125301133325250f, 0.8125580557389884f,
  0.8125859962782371f, 0.8126139349502067f, 0.8126418717548332f, 0.8126698066920521f,
  0.8126977397617995f, 0.8127256709640110f, 0.8127536002986226f, 0.8127815277655701f,
  0.8128094533647892f, 0.8128373770962157f, 0.8128652989597857f, 0.8128932189554346f,
  0.8129211370830988f, 0.8129490533427137f, 0.8129769677342152f, 0.8130048802575394f,
  0.8130327909126219f, 0.8130606996993988f, 0.8130886066178057f, 0.8131165116677787f,
  0.8131444148492536f, 0.8131723161621661f, 0.8132002156064524f, 0.8132281131820482f,
  0.8132560088888894f, 0.8132839027269120f, 0.8133117946960517f, 0.8133396847962446f,
  0.8133675730274266f, 0.8133954593895335f, 0.8134233438825014f, 0.8134512265062659f,
  0.8134791072607632f, 0.8135069861459292f, 0.8135348631616998f, 0.8135627383080108f,
  0.8135906115847985f, 0.8136184829919986f, 0.8136463525295469f, 0.8136742201973797f,
  0.8137020859954327f, 0.8137299499236420f, 0.8137578119819435f, 0.8137856721702732f,
  0.8138135304885672f, 0.8138413869367612f, 0.8138692415147916f, 0.8138970942225940f,
  0.8139249450601045f, 0.8139527940272593f, 0.8139806411239942f, 0.8140084863502451f,
  0.8140363297059483f, 0.8140641711910398f, 0.8140920108054553f, 0.8141198485491312f,
  0.8141476844220034f, 0.8141755184240077f, 0.8142033505550804f, 0.8142311808151577f,
  0.8142590092041753f, 0.8142868357220693f, 0.8143146603687759f, 0.8143424831442311f,
  0.8143703040483711f, 0.8143981230811316f, 0.8144259402424491f, 0.8144537555322594f,
  0.8144815689504987f, 0.8145093804971030f, 0.8145371901720084f, 0.8145649979751513f,
  0.8145928039064673f, 0.8146206079658928f, 0.8146484101533639f, 0.8146762104688166f,
  0.8147040089121871f, 0.8147318054834115f, 0.8147596001824260f, 0.8147873930091665f,
  0.8148151839635693f, 0.8148429730455707f, 0.8148707602551065f, 0.8148985455921132f,
  0.8149263290565266f, 0.8149541106482830f, 0.8149818903673187f, 0.8150096682135697f,
  0.8150374441869722f, 0.8150652182874624f, 0.8150929905149764f, 0.8151207608694506f,
  0.8151485293508208f, 0.8151762959590236f, 0.8152040606939950f, 0.8152318235556711f,
  0.8152595845439883f, 0.8152873436588827f, 0.8153151009002905f, 0.8153428562681480f,
  0.8153706097623913f, 0.8153983613829567f, 0.8154261111297804f, 0.8154538590027987f,
  0.8154816050019478f, 0.8155093491271639f, 0.8155370913783831f, 0.8155648317555421f,
  0.8155925702585767f, 0.8156203068874234f, 0.8156480416420183f, 0.8156757745222979f,
  0.8157035055281984f, 0.8157312346596558f, 0.8157589619166067f, 0.8157866872989873f,
  0.8158144108067338f, 0.8158421324397825f, 0.8158698521980700f, 0.8158975700815321f,
  0.8159252860901054f, 0.8159530002237263f, 0.8159807124823309f, 0.8160084228658556f,
  0.8160361313742367f, 0.8160638380074107f, 0.8160915427653136f, 0.8161192456478820f,
  0.8161469466550522f, 0.8161746457867605f, 0.8162023430429431f, 0.8162300384235367f,
  0.8162577319284774f, 0.8162854235577016f, 0.8163131133111458f, 0.8163408011887462f,
  0.8163684871904392f, 0.8163961713161613f, 0.8164238535658487f, 0.8164515339394380f,
  0.8164792124368654f, 0.8165068890580673f, 0.8165345638029804f, 0.8165622366715407f,
  0.8165899076636849f, 0.8166175767793493f, 0.8166452440184702f, 0.8166729093809842f,
  0.8167005728668278f, 0.8167282344759372f, 0.8167558942082489f, 0.8167835520636995f,
  0.8168112080422253f, 0.8168388621437627f, 0.8168665143682482f, 0.8168941647156184f,
  0.8169218131858095f, 0.8169494597787581f, 0.8169771044944008f, 0.8170047473326739f,
  0.8170323882935139f, 0.8170600273768573f, 0.8170876645826407f, 0.8171152999108003f,
  0.8171429333612730f, 0.8171705649339950f, 0.8171981946289029f, 0.8172258224459331f,
  0.8172534483850222f, 0.8172810724461068f, 0.8173086946291234f, 0.8173363149340084f,
  0.8173639333606985f, 0.8173915499091300f, 0.8174191645792396f, 0.8174467773709638f,
  0.8174743882842394f, 0.8175019973190024f, 0.8175296044751899f, 0.8175572097527380f,
  0.8175848131515837f, 0.8176124146716632f, 0.8176400143129134f, 0.8176676120752707f,
  0.8176952079586717f, 0.8177228019630529f, 0.8177503940883510f, 0.8177779843345026f,
  0.8178055727014443f, 0.8178331591891126f, 0.8178607437974442f, 0.8178883265263758f,
  0.8179159073758437f, 0.8179434863457850f, 0.8179710634361358f, 0.8179986386468331f,
  0.8180262119778134f, 0.8180537834290134f, 0.8180813530003697f, 0.8181089206918188f,
  0.8181364865032977f, 0.8181640504347427f, 0.8181916124860907f, 0.8182191726572783f,
  0.8182467309482420f, 0.8182742873589187f, 0.8183018418892450f, 0.8183293945391575f,
  0.8183569453085932f, 0.8183844941974883f, 0.8184120412057798f, 0.8184395863334043f,
  0.8184671295802987f, 0.8184946709463995f, 0.8185222104316433f, 0.8185497480359671f,
  0.8185772837593075f, 0.8186048176016013f, 0.8186323495627850f, 0.8186598796427955f,
  0.8186874078415697f, 0.8187149341590439f, 0.8187424585951553f, 0.8187699811498405f,
  0.8187975018230360f, 0.8188250206146789f, 0.8188525375247059f, 0.8188800525530536f,
  0.8189075656996589f, 0.8189350769644586f, 0.8189625863473894f, 0.8189900938483881f,
  0.8190175994673915f, 0.8190451032043364f, 0.8190726050591597f, 0.8191001050317980f,
  0.8191276031221882f, 0.8191550993302672f, 0.8191825936559717f, 0.8192100860992385f,
  0.8192375766600045f, 0.8192650653382065f, 0.8192925521337814f, 0.8193200370466659f,
  0.8193475200767970f, 0.8193750012241113f, 0.8194024804885460f, 0.8194299578700377f,
  0.8194574333685233f, 0.8194849069839396f, 0.8195123787162237f, 0.8195398485653123f,
  0.8195673165311422f, 0.8195947826136505f, 0.8196222468127740f, 0.8196497091284494f,
  0.8196771695606138f, 0.8197046281092041f, 0.8197320847741570f, 0.8197595395554097f,
  0.8197869924528990f, 0.8198144434665617f, 0.8198418925963348f, 0.8198693398421552f,
  0.8198967852039598f, 0.8199242286816857f, 0.8199516702752696f, 0.8199791099846486f,
  0.8200065478097597f, 0.8200339837505396f, 0.8200614178069255f, 0.8200888499788542f,
  0.8201162802662627f, 0.8201437086690881f, 0.8201711351872673f, 0.8201985598207371f,
  0.8202259825694347f, 0.8202534034332969f, 0.8202808224122609f, 0.8203082395062635f,
  0.8203356547152418f, 0.8203630680391328f, 0.8203904794778735f, 0.8204178890314009f,
  0.8204452966996520f, 0.8204727024825638f, 0.8205001063800734f, 0.8205275083921177f,
  0.8205549085186339f, 0.8205823067595589f, 0.8206097031148298f, 0.8206370975843836f,
  0.8206644901681575f, 0.8206918808660884f, 0.8207192696781133f, 0.8207466566041693f,
  0.8207740416441937f, 0.8208014247981232f, 0.8208288060658953f, 0.8208561854474467f,
  0.8208835629427146f, 0.8209109385516362f, 0.8209383122741484f, 0.8209656841101886f,
  0.8209930540596935f, 0.8210204221226005f, 0.8210477882988466f, 0.8210751525883689f,
  0.8211025149911046f, 0.8211298755069908f, 0.8211572341359646f, 0.8211845908779631f,
  0.8212119457329236f, 0.8212392987007829f, 0.8212666497814786f, 0.8212939989749475f,
  0.8213213462811267f, 0.8213486916999536f, 0.8213760352313654f, 0.8214033768752990f,
  0.8214307166316918f, 0.8214580545004808f, 0.8214853904816033f, 0.8215127245749966f,
  0.8215400567805976f, 0.8215673870983436f, 0.8215947155281719f, 0.8216220420700195f,
  0.8216493667238238f, 0.8216766894895220f, 0.8217040103670512f, 0.8217313293563487f,
  0.8217586464573517f, 0.8217859616699974f, 0.8218132749942231f, 0.8218405864299659f,
  0.8218678959771631f, 0.8218952036357522f, 0.8219225094056700f, 0.8219498132868540f,
  0.8219771152792416f, 0.8220044153827697f, 0.8220317135973758f, 0.8220590099229972f,
  0.8220863043595711f, 0.8221135969070347f, 0.8221408875653253f, 0.8221681763343804f,
  0.8221954632141372f, 0.8222227482045328f, 0.8222500313055047f, 0.8222773125169901f,
  0.8223045918389265f, 0.8223318692712508f, 0.8223591448139008f, 0.8223864184668135f,
  0.8224136902299264f, 0.8224409601031767f, 0.8224682280865019f, 0.8224954941798392f,
  0.8225227583831259f, 0.8225500206962996f, 0.8225772811192974f, 0.8226045396520567f,
  0.8226317962945150f, 0.8226590510466095f, 0.8226863039082776f, 0.8227135548794569f,
  0.8227408039600844f, 0.8227680511500978f, 0.8227952964494343f, 0.8228225398580313f,
  0.8228497813758263f, 0.8228770210027566f, 0.8229042587387598f, 0.8229314945837731f,
  0.8229587285377340f, 0.8229859606005798f, 0.8230131907722481f, 0.8230404190526763f,
  0.8230676454418017f, 0.8230948699395618f, 0.8231220925458941f, 0.8231493132607359f,
  0.8231765320840249f, 0.8232037490156983f, 0.8232309640556937f, 0.8232581772039484f,
  0.8232853884604001f, 0.8233125978249861f, 0.8233398052976439f, 0.8233670108783111f,
  0.8233942145669251f, 0.8234214163634233f, 0.8234486162677432f, 0.8234758142798225f,
  0.8235030103995985f, 0.8235302046270087f, 0.8235573969619908f, 0.8235845874044821f,
  0.8236117759544203f, 0.8236389626117427f, 0.8236661473763870f, 0.8236933302482907f,
  0.8237205112273913f, 0.8237476903136265f, 0.8237748675069336f, 0.8238020428072502f,
  0.8238292162145140f, 0.8238563877286624f, 0.8238835573496330f, 0.8239107250773635f,
  0.8239378909117914f, 0.8239650548528541f, 0.8239922169004893f, 0.8240193770546347f,
  0.8240465353152278f, 0.8240736916822060f, 0.8241008461555072f, 0.8241279987350688f,
  0.8241551494208286f, 0.8241822982127239f, 0.8242094451106927f, 0.8242365901146723f,
  0.8242637332246004f, 0.8242908744404148f, 0.8243180137620530f, 0.8243451511894525f,
  0.8243722867225513f, 0.8243994203612867f, 0.8244265521055963f, 0.8244536819554180f,
  0.8244808099106895f, 0.8245079359713483f, 0.8245350601373320f, 0.8245621824085785f,
  0.8245893027850253f, 0.8246164212666101f, 0.8246435378532706f, 0.8246706525449445f,
  0.8246977653415695f, 0.8247248762430832f, 0.8247519852494235f, 0.8247790923605280f,
  0.8248061975763343f, 0.8248333008967803f, 0.8248604023218037f, 0.8248875018513421f,
  0.8249145994853331f, 0.8249416952237149f, 0.8249687890664247f, 0.8249958810134006f,
  0.8250229710645802f, 0.8250500592199013f, 0.8250771454793017f, 0.8251042298427189f,
  0.8251313123100910f, 0.8251583928813556f, 0.8251854715564504f, 0.8252125483353133f,
  0.8252396232178821f, 0.8252666962040945f, 0.8252937672938884f, 0.8253208364872013f,
  0.8253479037839714f, 0.8253749691841362f, 0.8254020326876336f, 0.8254290942944015f,
  0.8254561540043774f, 0.8254832118174996f, 0.8255102677337056f, 0.8255373217529333f,
  0.8255643738751205f, 0.8255914241002050f, 0.8256184724281249f, 0.8256455188588177f,
  0.8256725633922214f, 0.8256996060282739f, 0.8257266467669130f, 0.8257536856080765f,
  0.8257807225517024f, 0.8258077575977285f, 0.8258347907460927f, 0.8258618219967329f,
  0.8258888513495869f, 0.8259158788045925f, 0.8259429043616879f, 0.8259699280208108f,
  0.8259969497818990f, 0.8260239696448907f, 0.8260509876097235f, 0.8260780036763355f,
  0.8261050178446646f, 0.8261320301146486f, 0.8261590404862257f, 0.8261860489593336f,
  0.8262130555339101f, 0.8262400602098936f, 0.8262670629872216f, 0.8262940638658323f,
  0.8263210628456634f, 0.8263480599266533f, 0.8263750551087395f, 0.8264020483918603f,
  0.8264290397759534f, 0.8264560292609570f, 0.8264830168468089f, 0.8265100025334473f,
  0.8265369863208100f, 0.8265639682088350f, 0.8265909481974604f, 0.8266179262866242f,
  0.8266449024762642f, 0.8266718767663187f, 0.8266988491567256f, 0.8267258196474229f,
  0.8267527882383485f, 0.8267797549294407f, 0.8268067197206374f, 0.8268336826118764f,
  0.8268606436030961f, 0.8268876026942344f, 0.8269145598852293f, 0.8269415151760191f,
  0.8269684685665415f, 0.8269954200567348f, 0.8270223696465370f, 0.8270493173358860f,
  0.8270762631247203f, 0.8271032070129776f, 0.8271301490005961f, 0.8271570890875140f,
  0.8271840272736690f, 0.8272109635589998f, 0.8272378979434440f, 0.8272648304269401f,
  0.8272917610094258f, 0.8273186896908395f, 0.8273456164711193f, 0.8273725413502032f,
  0.8273994643280294f, 0.8274263854045361f, 0.8274533045796613f, 0.8274802218533431f,
  0.8275071372255198f, 0.8275340506961296f, 0.8275609622651104f, 0.8275878719324007f,
  0.8276147796979384f, 0.8276416855616616f, 0.8276685895235089f, 0.8276954915834179f,
  0.8277223917413272f, 0.8277492899971749f, 0.8277761863508991f, 0.8278030808024380f,
  0.8278299733517298f, 0.8278568639987128f, 0.8278837527433253f, 0.8279106395855051f,
  0.8279375245251909f, 0.8279644075623205f, 0.8279912886968325f, 0.8280181679286647f,
  0.8280450452577558f, 0.8280719206840437f, 0.8280987942074667f, 0.8281256658279632f,
  0.8281525355454714f, 0.8281794033599295f, 0.8282062692712756f, 0.8282331332794483f,
  0.8282599953843857f, 0.8282868555860259f, 0.8283137138843075f, 0.8283405702791686f,
  0.8283674247705475f, 0.8283942773583824f, 0.8284211280426119f, 0.8284479768231741f,
  0.8284748237000071f, 0.8285016686730495f, 0.8285285117422396f, 0.8285553529075155f,
  0.8285821921688158f, 0.8286090295260785f, 0.8286358649792422f, 0.8286626985282451f,
  0.8286895301730257f, 0.8287163599135222f, 0.8287431877496729f, 0.8287700136814162f,
  0.8287968377086906f, 0.8288236598314342f, 0.8288504800495856f, 0.8288772983630830f,
  0.8289041147718649f, 0.8289309292758695f, 0.8289577418750355f, 0.8289845525693009f,
  0.8290113613586044f, 0.8290381682428842f, 0.8290649732220788f, 0.8290917762961266f,
  0.8291185774649660f, 0.8291453767285353f, 0.8291721740867731f, 0.8291989695396177f,
  0.8292257630870076f, 0.8292525547288812f, 0.8292793444651767f, 0.8293061322958329f,
  0.8293329182207883f, 0.8293597022399809f, 0.8293864843533495f, 0.8294132645608324f,
  0.8294400428623683f, 0.8294668192578952f, 0.8294935937473521f, 0.8295203663306772f,
  0.8295471370078088f, 0.8295739057786857f, 0.8296006726432464f, 0.8296274376014292f,
  0.8296542006531726f, 0.8296809617984152f, 0.8297077210370954f, 0.8297344783691519f,
  0.8297612337945230f, 0.8297879873131474f, 0.8298147389249635f, 0.8298414886299097f,
  0.8298682364279248f, 0.8298949823189473f, 0.8299217263029155f, 0.8299484683797682f,
  0.8299752085494438f, 0.8300019468118810f, 0.8300286831670182f, 0.8300554176147940f,
  0.8300821501551470f, 0.8301088807880157f, 0.8301356095133389f, 0.8301623363310549f,
  0.8301890612411024f, 0.8302157842434199f, 0.8302425053379462f, 0.8302692245246197f,
  0.8302959418033791f, 0.8303226571741630f, 0.8303493706369099f, 0.8303760821915586f,
  0.8304027918380475f, 0.8304294995763154f, 0.8304562054063008f, 0.8304829093279426f,
  0.8305096113411791f, 0.8305363114459491f, 0.8305630096421911f, 0.8305897059298440f,
  0.8306164003088463f, 0.8306430927791366f, 0.8306697833406538f, 0.8306964719933363f,
  0.8307231587371229f, 0.8307498435719521f, 0.8307765264977630f, 0.8308032075144939f,
  0.8308298866220836f, 0.8308565638204708f, 0.8308832391095942f, 0.8309099124893925f,
  0.8309365839598044f, 0.8309632535207686f, 0.8309899211722238f, 0.8310165869141088f,
  0.8310432507463623f, 0.8310699126689229f, 0.8310965726817295f, 0.8311232307847208f,
  0.8311498869778354f, 0.8311765412610123f, 0.8312031936341900f, 0.8312298440973074f,
  0.8312564926503032f, 0.8312831392931161f, 0.8313097840256851f, 0.8313364268479488f,
  0.8313630677598459f, 0.8313897067613154f, 0.8314163438522959f, 0.8314429790327262f,
  0.8314696123025452f, 0.8314962436616916f, 0.8315228731101044f, 0.8315495006477220f,
  0.8315761262744836f, 0.8316027499903280f, 0.8316293717951937f, 0.8316559916890198f,
  0.8316826096717451f, 0.8317092257433084f, 0.8317358399036484f, 0.8317624521527042f,
  0.8317890624904144f, 0.8318156709167179f, 0.8318422774315538f, 0.8318688820348608f,
  0.8318954847265776f, 0.8319220855066433f, 0.8319486843749966f, 0.8319752813315766f,
  0.8320018763763218f, 0.8320284695091715f, 0.8320550607300645f, 0.8320816500389395f,
  0.8321082374357355f, 0.8321348229203915f, 0.8321614064928463f, 0.8321879881530387f,
  0.8322145679009080f, 0.8322411457363927f, 0.8322677216594319f, 0.8322942956699646f,
  0.8323208677679297f, 0.8323474379532659f, 0.8323740062259126f, 0.8324005725858084f,
  0.8324271370328923f, 0.8324536995671034f, 0.8324802601883804f, 0.8325068188966626f,
  0.8325333756918887f, 0.8325599305739978f, 0.8325864835429289f, 0.8326130345986208f,
  0.8326395837410128f, 0.8326661309700435f, 0.8326926762856522f, 0.8327192196877778f,
  0.8327457611763595f, 0.8327723007513359f, 0.8327988384126462f, 0.8328253741602296f,
  0.8328519079940250f, 0.8328784399139714f, 0.8329049699200077f, 0.8329314980120731f,
  0.8329580241901067f, 0.8329845484540473f, 0.8330110708038343f, 0.8330375912394065f,
  0.8330641097607029f, 0.8330906263676627f, 0.8331171410602251f, 0.8331436538383288f,
  0.8331701647019132f, 0.8331966736509172f, 0.8332231806852800f, 0.8332496858049406f,
  0.8332761890098382f, 0.8333026902999118f, 0.8333291896751005f, 0.8333556871353435f,
  0.8333821826805797f, 0.8334086763107486f, 0.8334351680257888f, 0.8334616578256399f,
  0.8334881457102408f, 0.8335146316795305f, 0.8335411157334485f, 0.8335675978719337f,
  0.8335940780949253f, 0.8336205564023622f, 0.8336470327941841f, 0.8336735072703296f,
  0.8336999798307383f, 0.8337264504753491f, 0.8337529192041013f, 0.8337793860169339f,
  0.8338058509137863f, 0.8338323138945977f, 0.8338587749593070f, 0.8338852341078536f,
  0.8339116913401767f, 0.8339381466562156f, 0.8339646000559092f, 0.8339910515391971f,
  0.8340175011060181f, 0.8340439487563117f, 0.8340703944900171f, 0.8340968383070735f,
  0.8341232802074201f, 0.8341497201909961f, 0.8341761582577408f, 0.8342025944075935f,
  0.8342290286404934f, 0.8342554609563797f, 0.8342818913551918f, 0.8343083198368688f,
  0.8343347464013501f, 0.8343611710485749f, 0.8343875937784825f, 0.8344140145910121f,
  0.8344404334861032f, 0.8344668504636948f, 0.8344932655237265f, 0.8345196786661373f,
  0.8345460898908668f, 0.8345724991978541f, 0.8345989065870386f, 0.8346253120583595f,
  0.8346517156117563f, 0.8346781172471682f, 0.8347045169645346f, 0.8347309147637949f,
  0.8347573106448882f, 0.8347837046077541f, 0.8348100966523317f, 0.8348364867785607f,
  0.8348628749863800f, 0.8348892612757294f, 0.8349156456465480f, 0.8349420280987752f,
  0.8349684086323504f, 0.8349947872472131f, 0.8350211639433026f, 0.8350475387205581f,
  0.8350739115789193f, 0.8351002825183255f, 0.8351266515387159f, 0.8351530186400302f,
  0.8351793838222076f, 0.8352057470851877f, 0.8352321084289096f, 0.8352584678533130f,
  0.8352848253583374f, 0.8353111809439220f, 0.8353375346100063f, 0.8353638863565298f,
  0.8353902361834318f, 0.8354165840906520f, 0.8354429300781296f, 0.8354692741458043f,
  0.8354956162936154f, 0.8355219565215023f, 0.8355482948294047f, 0.8355746312172618f,
  0.8356009656850134f, 0.8356272982325987f, 0.8356536288599574f, 0.8356799575670288f,
  0.8357062843537526f, 0.8357326092200681f, 0.8357589321659149f, 0.8357852531912326f,
  0.8358115722959606f, 0.8358378894800385f, 0.8358642047434056f, 0.8358905180860018f,
  0.8359168295077664f, 0.8359431390086389f, 0.8359694465885590f, 0.8359957522474661f,
  0.8360220559852999f, 0.8360483578019998f, 0.8360746576975054f, 0.8361009556717565f,
  0.8361272517246922f, 0.8361535458562525f, 0.8361798380663767f, 0.8362061283550045f,
  0.8362324167220756f, 0.8362587031675295f, 0.8362849876913057f, 0.8363112702933437f,
  0.8363375509735835f, 0.8363638297319644f, 0.8363901065684262f, 0.8364163814829083f,
  0.8364426544753505f, 0.8364689255456922f, 0.8364951946938733f, 0.8365214619198333f,
  0.8365477272235119f, 0.8365739906048487f, 0.8366002520637834f, 0.8366265116002556f,
  0.8366527692142049f, 0.8366790249055711f, 0.8367052786742938f, 0.8367315305203126f,
  0.8367577804435672f, 0.8367840284439974f, 0.8368102745215428f, 0.8368365186761429f,
  0.8368627609077378f, 0.8368890012162670f, 0.8369152396016700f, 0.8369414760638868f,
  0.8369677106028570f, 0.8369939432185203f, 0.8370201739108164f, 0.8370464026796851f,
  0.8370726295250660f, 0.8370988544468989f, 0.8371250774451237f, 0.8371512985196798f,
  0.8371775176705072f, 0.8372037348975456f, 0.8372299502007348f, 0.8372561635800144f,
  0.8372823750353243f, 0.8373085845666043f, 0.8373347921737940f, 0.8373609978568333f,
  0.8373872016156619f, 0.8374134034502198f, 0.8374396033604464f, 0.8374658013462819f,
  0.8374919974076659f, 0.8375181915445381f, 0.8375443837568385f, 0.8375705740445070f,
  0.8375967624074830f, 0.8376229488457068f, 0.8376491333591178f, 0.8376753159476562f,
  0.8377014966112617f, 0.8377276753498740f, 0.8377538521634331f, 0.8377800270518788f,
  0.8378062000151509f, 0.8378323710531893f, 0.8378585401659340f, 0.8378847073533245f,
  0.8379108726153011f, 0.8379370359518035f, 0.8379631973627714f, 0.8379893568481448f,
  0.8380155144078637f, 0.8380416700418680f, 0.8380678237500974f, 0.8380939755324919f,
  0.8381201253889915f, 0.8381462733195360f, 0.8381724193240653f, 0.8381985634025193f,
  0.8382247055548381f, 0.8382508457809613f, 0.8382769840808292f, 0.8383031204543816f,
  0.8383292549015583f, 0.8383553874222994f, 0.8383815180165448f, 0.8384076466842345f,
  0.8384337734253083f, 0.8384598982397063f, 0.8384860211273686f, 0.8385121420882348f,
  0.8385382611222452f, 0.8385643782293397f, 0.8385904934094581f, 0.8386166066625407f,
  0.8386427179885273f, 0.8386688273873579f, 0.8386949348589725f, 0.8387210404033112f,
  0.8387471440203139f, 0.8387732457099207f, 0.8387993454720716f, 0.8388254433067066f,
  0.8388515392137658f, 0.8388776331931891f, 0.8389037252449165f, 0.8389298153688883f,
  0.8389559035650443f, 0.8389819898333248f, 0.8390080741736696f, 0.8390341565860189f,
  0.8390602370703126f, 0.8390863156264911f, 0.8391123922544942f, 0.8391384669542620f,
  0.8391645397257346f, 0.8391906105688521f, 0.8392166794835547f, 0.8392427464697824f,
  0.8392688115274752f, 0.8392948746565734f, 0.8393209358570169f, 0.8393469951287460f,
  0.8393730524717008f, 0.8393991078858212f, 0.8394251613710476f, 0.8394512129273201f,
  0.8394772625545786f, 0.8395033102527634f, 0.8395293560218147f, 0.8395553998616726f,
  0.8395814417722771f, 0.8396074817535686f, 0.8396335198054872f, 0.8396595559279729f,
  0.8396855901209661f, 0.8397116223844069f, 0.8397376527182353f, 0.8397636811223917f,
  0.8397897075968163f, 0.8398157321414491f, 0.8398417547562305f, 0.8398677754411005f,
  0.8398937941959995f, 0.8399198110208675f, 0.8399458259156450f, 0.8399718388802720f,
  0.8399978499146887f, 0.8400238590188356f, 0.8400498661926527f, 0.8400758714360802f,
  0.8401018747490584f, 0.8401278761315276f, 0.8401538755834280f, 0.8401798731046999f,
  0.8402058686952836f, 0.8402318623551192f, 0.8402578540841471f, 0.8402838438823075f,
  0.8403098317495408f, 0.8403358176857870f, 0.8403618016909867f, 0.8403877837650802f,
  0.8404137639080075f, 0.8404397421197091f, 0.8404657184001252f, 0.8404916927491963f,
  0.8405176651668625f, 0.8405436356530642f, 0.8405696042077418f, 0.8405955708308356f,
  0.8406215355222857f, 0.8406474982820327f, 0.8406734591100169f, 0.8406994180061785f,
  0.8407253749704581f, 0.8407513300027958f, 0.8407772831031320f, 0.8408032342714071f,
  0.8408291835075616f, 0.8408551308115357f, 0.8408810761832698f, 0.8409070196227043f,
  0.8409329611297797f, 0.8409589007044362f, 0.8409848383466142f, 0.8410107740562542f,
  0.8410367078332966f, 0.8410626396776818f, 0.8410885695893502f, 0.8411144975682421f,
  0.8411404236142981f, 0.8411663477274585f, 0.8411922699076637f, 0.8412181901548543f,
  0.8412441084689706f, 0.8412700248499531f, 0.8412959392977422f, 0.8413218518122783f,
  0.8413477623935020f, 0.8413736710413536f, 0.8413995777557738f, 0.8414254825367028f,
  0.8414513853840813f, 0.8414772862978495f, 0.8415031852779482f, 0.8415290823243176f,
  0.8415549774368983f, 0.8415808706156310f, 0.8416067618604559f, 0.8416326511713136f,
  0.8416585385481448f, 0.8416844239908896f, 0.8417103074994888f, 0.8417361890738830f,
  0.8417620687140125f, 0.8417879464198180f, 0.8418138221912399f, 0.8418396960282188f,
  0.8418655679306953f, 0.8418914378986099f, 0.8419173059319031f, 0.8419431720305155f,
  0.8419690361943877f, 0.8419948984234602f, 0.8420207587176737f, 0.8420466170769685f,
  0.8420724735012854f, 0.8420983279905651f, 0.8421241805447479f, 0.8421500311637744f,
  0.8421758798475856f, 0.8422017265961216f, 0.8422275714093234f, 0.8422534142871312f,
  0.8422792552294859f, 0.8423050942363283f, 0.8423309313075985f, 0.8423567664432374f,
  0.8423825996431860f, 0.8424084309073843f, 0.8424342602357732f, 0.8424600876282935f,
  0.8424859130848856f, 0.8425117366054903f, 0.8425375581900484f, 0.8425633778385002f,
  0.8425891955507866f, 0.8426150113268484f, 0.8426408251666259f, 0.8426666370700602f,
  0.8426924470370916f, 0.8427182550676611f, 0.8427440611617092f, 0.8427698653191766f,
  0.8427956675400041f, 0.8428214678241326f, 0.8428472661715023f, 0.8428730625820543f,
  0.8428988570557293f, 0.8429246495924678f, 0.8429504401922108f, 0.8429762288548990f,
  0.8430020155804728f, 0.8430278003688734f, 0.8430535832200413f, 0.8430793641339173f,
  0.8431051431104423f, 0.8431309201495566f, 0.8431566952512014f, 0.8431824684153175f,
  0.8432082396418454f, 0.8432340089307261f, 0.8432597762819003f, 0.8432855416953087f,
  0.8433113051708920f, 0.8433370667085915f, 0.8433628263083475f, 0.8433885839701010f,
  0.8434143396937928f, 0.8434400934793637f, 0.8434658453267544f, 0.8434915952359060f,
  0.8435173432067591f, 0.8435430892392547f, 0.8435688333333334f, 0.8435945754889362f,
  0.8436203157060042f, 0.8436460539844777f, 0.8436717903242978f, 0.8436975247254056f,
  0.8437232571877415f, 0.8437489877112468f, 0.8437747162958622f, 0.8438004429415286f,
  0.8438261676481867f, 0.8438518904157777f, 0.8438776112442422f, 0.8439033301335213f,
  0.8439290470835559f, 0.8439547620942868f, 0.8439804751656548f, 0.8440061862976012f,
  0.8440318954900664f, 0.8440576027429918f, 0.8440833080563179f, 0.8441090114299860f,
  0.8441347128639369f, 0.8441604123581115f, 0.8441861099124507f, 0.8442118055268956f,
  0.8442374992013870f, 0.8442631909358659f, 0.8442888807302734f, 0.8443145685845502f,
  0.8443402544986376f, 0.8443659384724763f, 0.8443916205060074f, 0.8444173005991717f,
  0.8444429787519107f, 0.8444686549641648f, 0.8444943292358753f, 0.8445200015669831f,
  0.8445456719574292f, 0.8445713404071549f, 0.8445970069161007f, 0.8446226714842080f,
  0.8446483341114178f, 0.8446739947976709f, 0.8446996535429085f, 0.8447253103470718f,
  0.8447509652101015f, 0.8447766181319388f, 0.8448022691125249f, 0.8448279181518006f,
  0.8448535652497070f, 0.8448792104061854f, 0.8449048536211766f, 0.8449304948946219f,
  0.8449561342264621f, 0.8449817716166385f, 0.8450074070650923f, 0.8450330405717641f,
  0.8450586721365955f, 0.8450843017595274f, 0.8451099294405009f, 0.8451355551794570f,
  0.8451611789763371f, 0.8451868008310821f, 0.8452124207436332f, 0.8452380387139317f,
  0.8452636547419182f, 0.8452892688275343f, 0.8453148809707212f, 0.8453404911714195f,
  0.8453660994295711f, 0.8453917057451165f, 0.8454173101179971f, 0.8454429125481543f,
  0.8454685130355288f, 0.8454941115800622f, 0.8455197081816954f, 0.8455453028403697f,
  0.8455708955560263f, 0.8455964863286063f, 0.8456220751580510f, 0.8456476620443014f,
  0.8456732469872991f, 0.8456988299869849f, 0.8457244110433001f, 0.8457499901561861f,
  0.8457755673255839f, 0.8458011425514350f, 0.8458267158336803f, 0.8458522871722612f,
  0.8458778565671190f, 0.8459034240181948f, 0.8459289895254299f, 0.8459545530887658f,
  0.8459801147081433f, 0.8460056743835038f, 0.8460312321147889f, 0.8460567879019395f,
  0.8460823417448969f, 0.8461078936436027f, 0.8461334435979978f, 0.8461589916080237f,
  0.8461845376736217f, 0.8462100817947329f, 0.8462356239712987f, 0.8462611642032606f,
  0.8462867024905597f, 0.8463122388331373f, 0.8463377732309348f, 0.8463633056838936f,
  0.8463888361919549f, 0.8464143647550600f, 0.8464398913731503f, 0.8464654160461673f,
  0.8464909387740520f, 0.8465164595567460f, 0.8465419783941908f, 0.8465674952863272f,
  0.8465930102330972f, 0.8466185232344418f, 0.8466440342903024f, 0.8466695434006204f,
  0.8466950505653374f, 0.8467205557843945f, 0.8467460590577333f, 0.8467715603852949f,
  0.8467970597670209f, 0.8468225572028528f, 0.8468480526927319f, 0.8468735462365995f,
  0.8468990378343974f, 0.8469245274860664f, 0.8469500151915484f, 0.8469755009507848f,
  0.8470009847637169f, 0.8470264666302861f, 0.8470519465504340f, 0.8470774245241020f,
  0.8471029005512315f, 0.8471283746317640f, 0.8471538467656409f, 0.8471793169528038f,
  0.8472047851931940f, 0.8472302514867530f, 0.8472557158334226f, 0.8472811782331438f,
  0.8473066386858583f, 0.8473320971915078f, 0.8473575537500334f, 0.8473830083613769f,
  0.8474084610254797f, 0.8474339117422833f, 0.8474593605117292f, 0.8474848073337592f,
  0.8475102522083143f, 0.8475356951353364f, 0.8475611361147670f, 0.8475865751465476f,
  0.8476120122306198f, 0.8476374473669248f, 0.8476628805554046f, 0.8476883117960007f,
  0.8477137410886543f, 0.8477391684333073f, 0.8477645938299012f, 0.8477900172783776f,
  0.8478154387786779f, 0.8478408583307440f, 0.8478662759345171f, 0.8478916915899390f,
  0.8479171052969514f, 0.8479425170554957f, 0.8479679268655137f, 0.8479933347269469f,
  0.8480187406397368f, 0.8480441446038253f, 0.8480695466191537f, 0.8480949466856638f,
  0.8481203448032973f, 0.8481457409719957f, 0.8481711351917006f, 0.8481965274623540f,
  0.8482219177838970f, 0.8482473061562716f, 0.8482726925794196f, 0.8482980770532823f,
  0.8483234595778015f, 0.8483488401529191f, 0.8483742187785764f, 0.8483995954547153f,
  0.8484249701812776f, 0.8484503429582047f, 0.8484757137854385f, 0.8485010826629206f,
  0.8485264495905926f, 0.8485518145683966f, 0.8485771775962739f, 0.8486025386741664f,
  0.8486278978020159f, 0.8486532549797638f, 0.8486786102073522f, 0.8487039634847228f,
  0.8487293148118170f, 0.8487546641885769f, 0.8487800116149442f, 0.8488053570908604f,
  0.8488307006162675f, 0.8488560421911072f, 0.8488813818153212f, 0.8489067194888514f,
  0.8489320552116396f, 0.8489573889836274f, 0.8489827208047567f, 0.8490080506749692f,
  0.8490333785942067f, 0.8490587045624113f, 0.8490840285795243f, 0.8491093506454878f,
  0.8491346707602436f, 0.8491599889237336f, 0.8491853051358993f, 0.8492106193966830f,
  0.8492359317060260f, 0.8492612420638704f, 0.8492865504701582f, 0.8493118569248310f,
  0.8493371614278307f, 0.8493624639790992f, 0.8493877645785783f, 0.8494130632262100f,
  0.8494383599219359f, 0.8494636546656982f, 0.8494889474574385f, 0.8495142382970987f,
  0.8495395271846209f, 0.8495648141199468f, 0.8495900991030183f, 0.8496153821337773f,
  0.8496406632121659f, 0.8496659423381258f, 0.8496912195115988f, 0.8497164947325272f,
  0.8497417680008524f, 0.8497670393165168f, 0.8497923086794622f, 0.8498175760896303f,
  0.8498428415469633f, 0.8498681050514031f, 0.8498933666028915f, 0.8499186262013706f,
  0.8499438838467822f, 0.8499691395390684f, 0.8499943932781713f, 0.8500196450640325f,
  0.8500448948965941f, 0.8500701427757983f, 0.8500953887015869f, 0.8501206326739018f,
  0.8501458746926852f, 0.8501711147578790f, 0.8501963528694251f, 0.8502215890272657f,
  0.8502468232313427f, 0.8502720554815981f, 0.8502972857779739f, 0.8503225141204122f,
  0.8503477405088551f, 0.8503729649432443f, 0.8503981874235221f, 0.8504234079496307f,
  0.8504486265215117f, 0.8504738431391075f, 0.8504990578023600f, 0.8505242705112113f,
  0.8505494812656034f, 0.8505746900654786f, 0.8505998969107786f, 0.8506251018014458f,
  0.8506503047374222f, 0.8506755057186497f, 0.8507007047450706f, 0.8507259018166270f,
  0.8507510969332608f, 0.8507762900949143f, 0.8508014813015294f, 0.8508266705530485f,
  0.8508518578494136f, 0.8508770431905667f, 0.8509022265764499f, 0.8509274080070056f,
  0.8509525874821757f, 0.8509777650019025f, 0.8510029405661280f, 0.8510281141747943f,
  0.8510532858278438f, 0.8510784555252184f, 0.8511036232668605f, 0.8511287890527121f,
  0.8511539528827153f, 0.8511791147568125f, 0.8512042746749459f, 0.8512294326370573f,
  0.8512545886430891f, 0.8512797426929838f, 0.8513048947866831f, 0.8513300449241294f,
  0.8513551931052652f, 0.8513803393300322f, 0.8514054835983729f, 0.8514306259102297f,
  0.8514557662655443f, 0.8514809046642593f, 0.8515060411063170f, 0.8515311755916595f,
  0.8515563081202289f, 0.8515814386919678f, 0.8516065673068181f, 0.8516316939647223f,
  0.8516568186656224f, 0.8516819414094609f, 0.8517070621961801f, 0.8517321810257220f,
  0.8517572978980291f, 0.8517824128130437f, 0.8518075257707080f, 0.8518326367709642f,
  0.8518577458137548f, 0.8518828528990220f, 0.8519079580267082f, 0.8519330611967555f,
  0.8519581624091064f, 0.8519832616637030f, 0.8520083589604880f, 0.8520334542994034f,
  0.8520585476803917f, 0.8520836391033950f, 0.8521087285683560f, 0.8521338160752169f,
  0.8521589016239198f, 0.8521839852144073f, 0.8522090668466219f, 0.8522341465205057f,
  0.8522592242360011f, 0.8522842999930507f, 0.8523093737915964f, 0.8523344456315811f,
  0.8523595155129471f, 0.8523845834356364f, 0.8524096493995917f, 0.8524347134047556f,
  0.8524597754510701f, 0.8524848355384779f, 0.8525098936669211f, 0.8525349498363423f,
  0.8525600040466841f, 0.8525850562978886f, 0.8526101065898984f, 0.8526351549226561f,
  0.8526602012961038f, 0.8526852457101841f, 0.8527102881648395f, 0.8527353286600124f,
  0.8527603671956453f, 0.8527854037716807f, 0.8528104383880608f, 0.8528354710447283f,
  0.8528605017416259f, 0.8528855304786955f, 0.8529105572558802f, 0.8529355820731220f,
  0.8529606049303636f, 0.8529856258275477f, 0.8530106447646164f, 0.8530356617415124f,
  0.8530606767581783f, 0.8530856898145566f, 0.8531107009105896f, 0.8531357100462201f,
  0.8531607172213904f, 0.8531857224360432f, 0.8532107256901211f, 0.8532357269835664f,
  0.8532607263163218f, 0.8532857236883299f, 0.8533107190995330f, 0.8533357125498741f,
  0.8533607040392954f, 0.8533856935677396f, 0.8534106811351493f, 0.8534356667414670f,
  0.8534606503866353f, 0.8534856320705969f, 0.8535106117932942f, 0.8535355895546700f,
  0.8535605653546668f, 0.8535855391932272f, 0.8536105110702938f, 0.8536354809858094f,
  0.8536604489397163f, 0.8536854149319573f, 0.8537103789624751f, 0.8537353410312122f,
  0.8537603011381113f, 0.8537852592831151f, 0.8538102154661661f, 0.8538351696872072f,
  0.8538601219461807f, 0.8538850722430295f, 0.8539100205776963f, 0.8539349669501236f,
  0.8539599113602541f, 0.8539848538080307f, 0.8540097942933959f, 0.8540347328162923f,
  0.8540596693766628f, 0.8540846039744500f, 0.8541095366095965f, 0.8541344672820453f,
  0.8541593959917387f, 0.8541843227386198f, 0.8542092475226312f, 0.8542341703437155f,
  0.8542590912018155f, 0.8542840100968739f, 0.8543089270288335f, 0.8543338419976372f,
  0.8543587550032274f, 0.8543836660455471f, 0.8544085751245389f, 0.8544334822401457f,
  0.8544583873923101f, 0.8544832905809752f, 0.8545081918060833f, 0.8545330910675775f,
  0.8545579883654005f, 0.8545828836994951f, 0.8546077770698041f, 0.8546326684762703f,
  0.8546575579188365f, 0.8546824453974455f, 0.8547073309120400f, 0.8547322144625630f,
  0.8547570960489572f, 0.8547819756711654f, 0.8548068533291305f, 0.8548317290227955f,
  0.8548566027521028f, 0.8548814745169956f, 0.8549063443174167f, 0.8549312121533088f,
  0.8549560780246148f, 0.8549809419312778f, 0.8550058038732403f, 0.8550306638504453f,
  0.8550555218628360f, 0.8550803779103547f, 0.8551052319929447f, 0.8551300841105487f,
  0.8551549342631096f, 0.8551797824505705f, 0.8552046286728741f, 0.8552294729299632f,
  0.8552543152217811f, 0.8552791555482703f, 0.8553039939093738f, 0.8553288303050348f,
  0.8553536647351960f, 0.8553784971998003f, 0.8554033276987909f, 0.8554281562321103f,
  0.8554529827997018f, 0.8554778074015084f, 0.8555026300374726f, 0.8555274507075378f,
  0.8555522694116470f, 0.8555770861497427f, 0.8556019009217684f, 0.8556267137276666f,
  0.8556515245673807f, 0.8556763334408535f, 0.8557011403480279f, 0.8557259452888470f,
  0.8557507482632539f, 0.8557755492711914f, 0.8558003483126025f, 0.8558251453874306f,
  0.8558499404956182f, 0.8558747336371086f, 0.8558995248118449f, 0.8559243140197700f,
  0.8559491012608268f, 0.8559738865349587f, 0.8559986698421084f, 0.8560234511822191f,
  0.8560482305552338f, 0.8560730079610956f, 0.8560977833997477f, 0.8561225568711329f,
  0.8561473283751945f, 0.8561720979118754f, 0.8561968654811187f, 0.8562216310828676f,
  0.8562463947170652f, 0.8562711563836545f, 0.8562959160825785f, 0.8563206738137806f,
  0.8563454295772036f, 0.8563701833727908f, 0.8563949352004854f, 0.8564196850602301f,
  0.8564444329519686f, 0.8564691788756437f, 0.8564939228311984f, 0.8565186648185762f,
  0.8565434048377200f, 0.8565681428885730f, 0.8565928789710784f, 0.8566176130851793f,
  0.8566423452308187f, 0.8566670754079403f, 0.8566918036164867f, 0.8567165298564013f,
  0.8567412541276275f, 0.8567659764301080f, 0.8567906967637864f, 0.8568154151286058f,
  0.8568401315245092f, 0.8568648459514401f, 0.8568895584093414f, 0.8569142688981566f,
  0.8569389774178288f, 0.8569636839683010f, 0.8569883885495169f, 0.8570130911614193f,
  0.8570377918039517f, 0.8570624904770571f, 0.8570871871806790f, 0.8571118819147605f,
  0.8571365746792449f, 0.8571612654740755f, 0.8571859542991953f, 0.8572106411545479f,
  0.8572353260400765f, 0.8572600089557242f, 0.8572846899014346f, 0.8573093688771505f,
  0.8573340458828156f, 0.8573587209183732f, 0.8573833939837662f, 0.8574080650789383f,
  0.8574327342038327f, 0.8574574013583925f, 0.8574820665425614f, 0.8575067297562825f,
  0.8575313909994990f, 0.8575560502721545f, 0.8575807075741922f, 0.8576053629055554f,
  0.8576300162661876f, 0.8576546676560320f, 0.8576793170750320f, 0.8577039645231309f,
  0.8577286100002721f, 0.8577532535063990f, 0.8577778950414550f, 0.8578025346053832f,
  0.8578271721981273f, 0.8578518078196308f, 0.8578764414698367f, 0.8579010731486885f,
  0.8579257028561298f, 0.8579503305921038f, 0.8579749563565540f, 0.8579995801494238f,
  0.8580242019706565f, 0.8580488218201957f, 0.8580734396979848f, 0.8580980556039671f,
  0.8581226695380860f, 0.8581472815002853f, 0.8581718914905081f, 0.8581964995086979f,
  0.8582211055547982f, 0.8582457096287524f, 0.8582703117305042f, 0.8582949118599966f,
  0.8583195100171734f, 0.8583441062019782f, 0.8583687004143542f, 0.8583932926542449f,
  0.8584178829215940f, 0.8584424712163448f, 0.8584670575384408f, 0.8584916418878257f,
  0.8585162242644427f, 0.8585408046682356f, 0.8585653830991479f, 0.8585899595571228f,
  0.8586145340421042f, 0.8586391065540354f, 0.8586636770928600f, 0.8586882456585215f,
  0.8587128122509635f, 0.8587373768701295f, 0.8587619395159632f, 0.8587865001884081f,
  0.8588110588874075f, 0.8588356156129053f, 0.8588601703648449f, 0.8588847231431698f,
  0.8589092739478239f, 0.8589338227787504f, 0.8589583696358931f, 0.8589829145191956f,
  0.8590074574286014f, 0.8590319983640543f, 0.8590565373254976f, 0.8590810743128751f,
  0.8591056093261304f, 0.8591301423652071f, 0.8591546734300488f, 0.8591792025205993f,
  0.8592037296368019f, 0.8592282547786005f, 0.8592527779459388f, 0.8592772991387602f,
  0.8593018183570084f, 0.8593263356006272f, 0.8593508508695602f, 0.8593753641637509f,
  0.8593998754831434f, 0.8594243848276809f, 0.8594488921973075f, 0.8594733975919664f,
  0.8594979010116016f, 0.8595224024561569f, 0.8595469019255757f, 0.8595713994198019f,
  0.8595958949387791f, 0.8596203884824510f, 0.8596448800507615f, 0.8596693696436541f,
  0.8596938572610726f, 0.8597183429029608f, 0.8597428265692624f, 0.8597673082599210f,
  0.8597917879748805f, 0.8598162657140848f, 0.8598407414774771f, 0.8598652152650018f,
  0.8598896870766023f, 0.8599141569122224f, 0.8599386247718059f, 0.8599630906552965f,
  0.8599875545626382f, 0.8600120164937747f, 0.8600364764486496f, 0.8600609344272068f,
  0.8600853904293901f, 0.8601098444551435f, 0.8601342965044104f, 0.8601587465771351f,
  0.8601831946732609f, 0.8602076407927319f, 0.8602320849354921f, 0.8602565271014849f,
  0.8602809672906545f, 0.8603054055029445f, 0.8603298417382990f, 0.8603542759966616f,
  0.8603787082779761f, 0.8604031385821866f, 0.8604275669092369f, 0.8604519932590707f,
  0.8604764176316321f, 0.8605008400268649f, 0.8605252604447128f, 0.8605496788851198f,
  0.8605740953480300f, 0.8605985098333869f, 0.8606229223411347f, 0.8606473328712173f,
  0.8606717414235784f, 0.8606961479981620f, 0.8607205525949121f, 0.8607449552137725f,
  0.8607693558546872f, 0.8607937545176000f, 0.8608181512024550f, 0.8608425459091962f,
  0.8608669386377673f, 0.8608913293881123f, 0.8609157181601754f, 0.8609401049539003f,
  0.8609644897692309f, 0.8609888726061115f, 0.8610132534644858f, 0.8610376323442976f,
  0.8610620092454915f, 0.8610863841680109f, 0.8611107571118000f, 0.8611351280768028f,
  0.8611594970629634f, 0.8611838640702255f, 0.8612082290985333f, 0.8612325921478309f,
  0.8612569532180623f, 0.8612813123091712f, 0.8613056694211019f, 0.8613300245537985f,
  0.8613543777072048f, 0.8613787288812650f, 0.8614030780759232f, 0.8614274252911233f,
  0.8614517705268092f, 0.8614761137829254f, 0.8615004550594156f, 0.8615247943562240f,
  0.8615491316732947f, 0.8615734670105717f, 0.8615978003679990f, 0.8616221317455209f,
  0.8616464611430813f, 0.8616707885606244f, 0.8616951139980943f, 0.8617194374554349f,
  0.8617437589325907f, 0.8617680784295054f, 0.8617923959461233f, 0.8618167114823887f,
  0.8618410250382453f, 0.8618653366136376f, 0.8618896462085096f, 0.8619139538228054f,
  0.8619382594564692f, 0.8619625631094452f, 0.8619868647816773f, 0.8620111644731100f,
  0.8620354621836872f, 0.8620597579133532f, 0.8620840516620522f, 0.8621083434297281f,
  0.8621326332163254f, 0.8621569210217882f, 0.8621812068460606f, 0.8622054906890869f,
  0.8622297725508112f, 0.8622540524311778f, 0.8622783303301308f, 0.8623026062476146f,
  0.8623268801835731f, 0.8623511521379507f, 0.8623754221106917f, 0.8623996901017402f,
  0.8624239561110405f, 0.8624482201385368f, 0.8624724821841735f, 0.8624967422478946f,
  0.8625210003296445f, 0.8625452564293673f, 0.8625695105470076f, 0.8625937626825092f,
  0.8626180128358167f, 0.8626422610068745f, 0.8626665071956264f, 0.8626907514020170f,
  0.8627149936259907f, 0.8627392338674915f, 0.8627634721264638f, 0.8627877084028520f,
  0.8628119426966003f, 0.8628361750076531f, 0.8628604053359546f, 0.8628846336814493f,
  0.8629088600440814f, 0.8629330844237951f, 0.8629573068205350f, 0.8629815272342453f,
  0.8630057456648702f, 0.8630299621123544f, 0.8630541765766420f, 0.8630783890576773f,
  0.8631025995554048f, 0.8631268080697689f, 0.8631510146007140f, 0.8631752191481842f,
  0.8631994217121242f, 0.8632236222924782f, 0.8632478208891905f, 0.8632720175022058f,
  0.8632962121314682f, 0.8633204047769224f, 0.8633445954385125f, 0.8633687841161830f,
  0.8633929708098784f, 0.8634171555195431f, 0.8634413382451215f, 0.8634655189865581f,
  0.8634896977437971f, 0.8635138745167832f, 0.8635380493054609f, 0.8635622221097742f,
  0.8635863929296680f, 0.8636105617650867f, 0.8636347286159745f, 0.8636588934822760f,
  0.8636830563639359f, 0.8637072172608984f, 0.8637313761731080f, 0.8637555331005092f,
  0.8637796880430466f, 0.8638038410006648f, 0.8638279919733078f, 0.8638521409609206f,
  0.8638762879634475f, 0.8639004329808331f, 0.8639245760130217f, 0.8639487170599581f,
  0.8639728561215867f, 0.8639969931978519f, 0.8640211282886987f, 0.8640452613940710f,
  0.8640693925139137f, 0.8640935216481714f, 0.8641176487967884f, 0.8641417739597096f,
  0.8641658971368793f, 0.8641900183282420f, 0.8642141375337427f, 0.8642382547533254f,
  0.8642623699869350f, 0.8642864832345162f, 0.8643105944960132f, 0.8643347037713709f,
  0.8643588110605340f, 0.8643829163634468f, 0.8644070196800540f, 0.8644311210103004f,
  0.8644552203541302f, 0.8644793177114884f, 0.8645034130823197f, 0.8645275064665684f,
  0.8645515978641792f, 0.8645756872750970f, 0.8645997746992661f, 0.8646238601366315f,
  0.8646479435871375f, 0.8646720250507288f, 0.8646961045273505f, 0.8647201820169467f,
  0.8647442575194624f, 0.8647683310348422f, 0.8647924025630307f, 0.8648164721039727f,
  0.8648405396576130f, 0.8648646052238959f, 0.8648886688027664f, 0.8649127303941693f,
  0.8649367899980490f, 0.8649608476143503f, 0.8649849032430182f, 0.8650089568839970f,
  0.8650330085372319f, 0.8650570582026671f, 0.8650811058802477f, 0.8651051515699184f,
  0.8651291952716237f, 0.8651532369853087f, 0.8651772767109179f, 0.8652013144483961f,
  0.8652253501976881f, 0.8652493839587388f, 0.8652734157314927f, 0.8652974455158947f,
  0.8653214733118898f, 0.8653454991194224f, 0.8653695229384375f, 0.8653935447688800f,
  0.8654175646106944f, 0.8654415824638257f, 0.8654655983282188f, 0.8654896122038183f,
  0.8655136240905691f, 0.8655376339884160f, 0.8655616418973039f, 0.8655856478171776f,
  0.8656096517479819f, 0.8656336536896617f, 0.8656576536421619f, 0.8656816516054270f,
  0.8657056475794023f, 0.8657296415640324f, 0.8657536335592623f, 0.8657776235650367f,
  0.8658016115813008f, 0.8658255976079990f, 0.8658495816450766f, 0.8658735636924783f,
  0.8658975437501488f, 0.8659215218180335f, 0.8659454978960768f, 0.8659694719842238f,
  0.8659934440824195f, 0.8660174141906087f, 0.8660413823087364f, 0.8660653484367475f,
  0.8660893125745868f, 0.8661132747221993f, 0.8661372348795301f, 0.8661611930465239f,
  0.8661851492231257f, 0.8662091034092807f, 0.8662330556049336f, 0.8662570058100294f,
  0.8662809540245130f, 0.8663049002483294f, 0.8663288444814239f, 0.8663527867237409f,
  0.8663767269752258f, 0.8664006652358235f, 0.8664246015054788f, 0.8664485357841371f,
  0.8664724680717431f, 0.8664963983682417f, 0.8665203266735781f, 0.8665442529876974f,
  0.8665681773105444f, 0.8665920996420642f, 0.8666160199822021f, 0.8666399383309026f,
  0.8666638546881110f, 0.8666877690537726f, 0.8667116814278321f, 0.8667355918102347f,
  0.8667595002009253f, 0.8667834065998491f, 0.8668073110069513f, 0.8668312134221766f,
  0.8668551138454703f, 0.8668790122767777f, 0.8669029087160434f, 0.8669268031632128f,
  0.8669506956182310f, 0.8669745860810428f, 0.8669984745515937f, 0.8670223610298287f,
  0.8670462455156926f, 0.8670701280091309f, 0.8670940085100886f, 0.8671178870185107f,
  0.8671417635343425f, 0.8671656380575290f, 0.8671895105880153f, 0.8672133811257469f,
  0.8672372496706684f, 0.8672611162227253f, 0.8672849807818628f, 0.8673088433480258f,
  0.8673327039211597f, 0.8673565625012096f, 0.8673804190881206f, 0.8674042736818379f,
  0.8674281262823069f, 0.8674519768894725f, 0.8674758255032800f, 0.8674996721236746f,
  0.8675235167506015f, 0.8675473593840060f, 0.8675712000238330f, 0.8675950386700281f,
  0.8676188753225363f, 0.8676427099813029f, 0.8676665426462730f, 0.8676903733173921f,
  0.8677142019946051f, 0.8677380286778575f, 0.8677618533670945f, 0.8677856760622613f,
  0.8678094967633032f, 0.8678333154701655f, 0.8678571321827933f, 0.8678809469011319f,
  0.8679047596251269f, 0.8679285703547232f, 0.8679523790898662f, 0.8679761858305012f,
  0.8679999905765734f, 0.8680237933280284f, 0.8680475940848111f, 0.8680713928468672f,
  0.8680951896141417f, 0.8681189843865800f, 0.8681427771641275f, 0.8681665679467295f,
  0.8681903567343313f, 0.8682141435268782f, 0.8682379283243157f, 0.8682617111265889f,
  0.8682854919336432f, 0.8683092707454242f, 0.8683330475618770f, 0.8683568223829472f,
  0.8683805952085798f, 0.8684043660387204f, 0.8684281348733145f, 0.8684519017123072f,
  0.8684756665556441f, 0.8684994294032706f, 0.8685231902551319f, 0.8685469491111735f,
  0.8685707059713409f, 0.8685944608355793f, 0.8686182137038343f, 0.8686419645760514f,
  0.8686657134521756f, 0.8686894603321527f, 0.8687132052159281f, 0.8687369481034471f,
  0.8687606889946553f, 0.8687844278894979f, 0.8688081647879206f, 0.8688318996898688f,
  0.8688556325952878f, 0.8688793635041232f, 0.8689030924163205f, 0.8689268193318250f,
  0.8689505442505824f, 0.8689742671725381f, 0.8689979880976374f, 0.8690217070258260f,
  0.8690454239570495f, 0.8690691388912531f, 0.8690928518283825f, 0.8691165627683831f,
  0.8691402717112006f, 0.8691639786567802f, 0.8691876836050678f, 0.8692113865560086f,
  0.8692350875095484f, 0.8692587864656325f, 0.8692824834242066f, 0.8693061783852162f,
  0.8693298713486067f, 0.8693535623143239f, 0.8693772512823134f, 0.8694009382525205f,
  0.8694246232248908f, 0.8694483061993702f, 0.8694719871759038f, 0.8694956661544375f,
  0.8695193431349170f, 0.8695430181172874f, 0.8695666911014948f, 0.8695903620874845f,
  0.8696140310752023f, 0.8696376980645937f, 0.8696613630556043f, 0.8696850260481797f,
  0.8697086870422657f, 0.8697323460378076f, 0.8697560030347513f, 0.8697796580330426f,
  0.8698033110326266f, 0.8698269620334494f, 0.8698506110354566f, 0.8698742580385936f,
  0.8698979030428063f, 0.8699215460480404f, 0.8699451870542413f, 0.8699688260613548f,
  0.8699924630693269f, 0.8700160980781028f, 0.8700397310876284f, 0.8700633620978494f,
  0.8700869911087113f, 0.8701106181201603f, 0.8701342431321416f, 0.8701578661446011f,
  0.8701814871574846f, 0.8702051061707377f, 0.8702287231843060f, 0.8702523381981355f,
  0.8702759512121718f, 0.8702995622263607f, 0.8703231712406480f, 0.8703467782549792f,
  0.8703703832693002f, 0.8703939862835569f, 0.8704175872976948f, 0.8704411863116598f,
  0.8704647833253977f, 0.8704883783388542f, 0.8705119713519751f, 0.8705355623647062f,
  0.8705591513769932f, 0.8705827383887822f, 0.8706063234000186f, 0.8706299064106484f,
  0.8706534874206175f, 0.8706770664298715f, 0.8707006434383563f, 0.8707242184460179f,
  0.8707477914528018f, 0.8707713624586539f, 0.8707949314635204f, 0.8708184984673467f,
  0.8708420634700790f, 0.8708656264716628f, 0.8708891874720440f, 0.8709127464711688f,
  0.8709363034689828f, 0.8709598584654318f, 0.8709834114604619f, 0.8710069624540187f,
  0.8710305114460483f, 0.8710540584364966f, 0.8710776034253093f, 0.8711011464124324f,
  0.8711246873978119f, 0.8711482263813936f, 0.8711717633631233f, 0.8711952983429472f,
  0.8712188313208109f, 0.8712423622966605f, 0.8712658912704421f, 0.8712894182421012f,
  0.8713129432115840f, 0.8713364661788364f, 0.8713599871438045f, 0.8713835061064340f,
  0.8714070230666709f, 0.8714305380244612f, 0.8714540509797510f, 0.8714775619324860f,
  0.8715010708826125f, 0.8715245778300763f, 0.8715480827748232f, 0.8715715857167995f,
  0.8715950866559511f, 0.8716185855922238f, 0.8716420825255637f, 0.8716655774559172f,
  0.8716890703832297f, 0.8717125613074477f, 0.8717360502285167f, 0.8717595371463832f,
  0.8717830220609931f, 0.8718065049722924f, 0.8718299858802270f, 0.8718534647847432f,
  0.8718769416857869f, 0.8719004165833041f, 0.8719238894772410f, 0.8719473603675435f,
  0.8719708292541577f, 0.8719942961370299f, 0.8720177610161058f, 0.8720412238913318f,
  0.8720646847626540f, 0.8720881436300181f, 0.8721116004933706f, 0.8721350553526572f,
  0.8721585082078245f, 0.8721819590588182f, 0.8722054079055845f, 0.8722288547480697f,
  0.8722522995862199f, 0.8722757424199808f, 0.8722991832492990f, 0.8723226220741206f,
  0.8723460588943915f, 0.8723694937100579f, 0.8723929265210661f, 0.8724163573273622f,
  0.8724397861288923f, 0.8724632129256026f, 0.8724866377174392f, 0.8725100605043483f,
  0.8725334812862761f, 0.8725569000631688f, 0.8725803168349726f, 0.8726037316016335f,
  0.8726271443630980f, 0.8726505551193121f, 0.8726739638702220f, 0.8726973706157740f,
  0.8727207753559143f, 0.8727441780905890f, 0.8727675788197444f, 0.8727909775433269f,
  0.8728143742612824f, 0.8728377689735574f, 0.8728611616800980f, 0.8728845523808504f,
  0.8729079410757611f, 0.8729313277647760f, 0.8729547124478416f, 0.8729780951249042f,
  0.8730014757959099f, 0.8730248544608050f, 0.8730482311195360f, 0.8730716057720489f,
  0.8730949784182901f, 0.8731183490582060f, 0.8731417176917425f, 0.8731650843188463f,
  0.8731884489394638f, 0.8732118115535409f, 0.8732351721610241f, 0.8732585307618598f,
  0.8732818873559942f, 0.8733052419433737f, 0.8733285945239446f, 0.8733519450976532f,
  0.8733752936644461f, 0.8733986402242692f, 0.8734219847770691f, 0.8734453273227923f,
  0.8734686678613849f, 0.8734920063927933f, 0.8735153429169641f, 0.8735386774338434f,
  0.8735620099433777f, 0.8735853404455135f, 0.8736086689401968f, 0.8736319954273745f,
  0.8736553199069926f, 0.8736786423789977f, 0.8737019628433361f, 0.8737252812999545f,
  0.8737485977487989f, 0.8737719121898160f, 0.8737952246229519f, 0.8738185350481534f,
  0.8738418434653669f, 0.8738651498745386f, 0.8738884542756150f, 0.8739117566685428f,
  0.8739350570532681f, 0.8739583554297377f, 0.8739816517978978f, 0.8740049461576950f,
  0.8740282385090756f, 0.8740515288519863f, 0.8740748171863735f, 0.8740981035121836f,
  0.8741213878293633f, 0.8741446701378589f, 0.8741679504376170f, 0.8741912287285839f,
  0.8742145050107063f, 0.8742377792839308f, 0.8742610515482035f, 0.8742843218034715f,
  0.8743075900496809f, 0.8743308562867784f, 0.8743541205147105f, 0.8743773827334239f,
  0.8744006429428648f, 0.8744239011429800f, 0.8744471573337160f, 0.8744704115150193f,
  0.8744936636868365f, 0.8745169138491143f, 0.8745401620017991f, 0.8745634081448376f,
  0.8745866522781761f, 0.8746098944017615f, 0.8746331345155404f, 0.8746563726194592f,
  0.8746796087134645f, 0.8747028427975032f, 0.8747260748715215f, 0.8747493049354662f,
  0.8747725329892841f, 0.8747957590329216f, 0.8748189830663253f, 0.8748422050894421f,
  0.8748654251022182f, 0.8748886431046007f, 0.8749118590965360f, 0.8749350730779707f,
  0.8749582850488516f, 0.8749814950091254f, 0.8750047029587384f, 0.8750279088976379f,
  0.8750511128257700f, 0.8750743147430816f, 0.8750975146495195f, 0.8751207125450301f,
  0.8751439084295602f, 0.8751671023030568f, 0.8751902941654662f, 0.8752134840167353f,
  0.8752366718568109f, 0.8752598576856394f, 0.8752830415031677f, 0.8753062233093427f,
  0.8753294031041108f, 0.8753525808874190f, 0.8753757566592140f, 0.8753989304194423f,
  0.8754221021680509f, 0.8754452719049866f, 0.8754684396301958f, 0.8754916053436257f,
  0.8755147690452227f, 0.8755379307349339f, 0.8755610904127059f, 0.8755842480784853f,
  0.8756074037322192f, 0.8756305573738544f, 0.8756537090033374f, 0.8756768586206152f,
  0.8757000062256346f, 0.8757231518183423f, 0.8757462953986852f, 0.8757694369666101f,
  0.8757925765220639f, 0.8758157140649934f, 0.8758388495953452f, 0.8758619831130664f,
  0.8758851146181038f, 0.8759082441104041f, 0.8759313715899143f, 0.8759544970565812f,
  0.8759776205103517f, 0.8760007419511726f, 0.8760238613789908f, 0.8760469787937532f,
  0.8760700941954066f, 0.8760932075838980f, 0.8761163189591741f, 0.8761394283211820f,
  0.8761625356698685f, 0.8761856410051804f, 0.8762087443270649f, 0.8762318456354685f,
  0.8762549449303384f, 0.8762780422116216f, 0.8763011374792647f, 0.8763242307332149f,
  0.8763473219734190f, 0.8763704111998240f, 0.8763934984123768f, 0.8764165836110244f,
  0.8764396667957136f, 0.8764627479663916f, 0.8764858271230052f, 0.8765089042655013f,
  0.8765319793938271f, 0.8765550525079294f, 0.8765781236077552f, 0.8766011926932515f,
  0.8766242597643653f, 0.8766473248210436f, 0.8766703878632335f, 0.8766934488908816f,
  0.8767165079039354f, 0.8767395649023417f, 0.8767626198860474f, 0.8767856728549998f,
  0.8768087238091458f, 0.8768317727484322f, 0.8768548196728063f, 0.8768778645822152f,
  0.8769009074766057f, 0.8769239483559248f, 0.8769469872201200f, 0.8769700240691379f,
  0.8769930589029259f, 0.8770160917214308f, 0.8770391225245998f, 0.8770621513123800f,
  0.8770851780847183f, 0.8771082028415620f, 0.8771312255828582f, 0.8771542463085538f,
  0.8771772650185959f, 0.8772002817129320f, 0.8772232963915086f, 0.8772463090542734f,
  0.8772693197011732f, 0.8772923283321550f, 0.8773153349471662f, 0.8773383395461539f,
  0.8773613421290651f, 0.8773843426958470f, 0.8774073412464468f, 0.8774303377808116f,
  0.8774533322988887f, 0.8774763248006249f, 0.8774993152859676f, 0.8775223037548641f,
  0.8775452902072612f, 0.8775682746431065f, 0.8775912570623470f, 0.8776142374649298f,
  0.8776372158508021f, 0.8776601922199114f, 0.8776831665722045f, 0.8777061389076287f,
  0.8777291092261316f, 0.8777520775276598f, 0.8777750438121609f, 0.8777980080795821f,
  0.8778209703298705f, 0.8778439305629735f, 0.8778668887788382f, 0.8778898449774118f,
  0.8779127991586418f, 0.8779357513224753f, 0.8779587014688593f, 0.8779816495977416f,
  0.8780045957090691f, 0.8780275398027890f, 0.8780504818788489f, 0.8780734219371958f,
  0.8780963599777771f, 0.8781192960005402f, 0.8781422300054321f, 0.8781651619924004f,
  0.8781880919613922f, 0.8782110199123548f, 0.8782339458452358f, 0.8782568697599823f,
  0.8782797916565415f, 0.8783027115348609f, 0.8783256293948878f, 0.8783485452365696f,
  0.8783714590598536f, 0.8783943708646870f, 0.8784172806510172f, 0.8784401884187918f,
  0.8784630941679579f, 0.8784859978984628f, 0.8785088996102542f, 0.8785317993032793f,
  0.8785546969774853f, 0.8785775926328200f, 0.8786004862692303f, 0.8786233778866640f,
  0.8786462674850681f, 0.8786691550643904f, 0.8786920406245781f, 0.8787149241655786f,
  0.8787378056873393f, 0.8787606851898078f, 0.8787835626729313f, 0.8788064381366574f,
  0.8788293115809334f, 0.8788521830057068f, 0.8788750524109250f, 0.8788979197965355f,
  0.8789207851624858f, 0.8789436485087232f, 0.8789665098351954f, 0.8789893691418497f,
  0.8790122264286335f, 0.8790350816954944f, 0.8790579349423798f, 0.8790807861692373f,
  0.8791036353760143f, 0.8791264825626582f, 0.8791493277291169f, 0.8791721708753374f,
  0.8791950120012674f, 0.8792178511068546f, 0.8792406881920461f, 0.8792635232567899f,
  0.8792863563010332f, 0.8793091873247236f, 0.8793320163278088f, 0.8793548433102362f,
  0.8793776682719532f, 0.8794004912129076f, 0.8794233121330469f, 0.8794461310323185f,
  0.8794689479106702f, 0.8794917627680493f, 0.8795145756044036f, 0.8795373864196807f,
  0.8795601952138279f, 0.8795830019867930f, 0.8796058067385236f, 0.8796286094689673f,
  0.8796514101780715f, 0.8796742088657842f, 0.8796970055320525f, 0.8797198001768244f,
  0.8797425928000474f, 0.8797653834016691f, 0.8797881719816372f, 0.8798109585398993f,
  0.8798337430764029f, 0.8798565255910960f, 0.8798793060839258f, 0.8799020845548402f,
  0.8799248610037870f, 0.8799476354307134f, 0.8799704078355675f, 0.8799931782182968f,
  0.8800159465788490f, 0.8800387129171717f, 0.8800614772332128f, 0.8800842395269197f,
  0.8801069997982404f, 0.8801297580471223f, 0.8801525142735133f, 0.8801752684773609f,
  0.8801980206586132f, 0.8802207708172175f, 0.8802435189531219f, 0.8802662650662737f,
  0.8802890091566209f, 0.8803117512241113f, 0.8803344912686925f, 0.8803572292903121f,
  0.8803799652889183f, 0.8804026992644584f, 0.8804254312168802f, 0.8804481611461319f,
  0.8804708890521608f, 0.8804936149349147f, 0.8805163387943419f, 0.8805390606303894f,
  0.8805617804430056f, 0.8805844982321381f, 0.8806072139977346f, 0.8806299277397430f,
  0.8806526394581110f, 0.8806753491527866f, 0.8806980568237175f, 0.8807207624708514f,
  0.8807434660941362f, 0.8807661676935200f, 0.8807888672689502f, 0.8808115648203749f,
  0.8808342603477420f, 0.8808569538509992f, 0.8808796453300942f, 0.8809023347849753f,
  0.8809250222155899f, 0.8809477076218860f, 0.8809703910038118f, 0.8809930723613147f,
  0.8810157516943429f, 0.8810384290028441f, 0.8810611042867663f, 0.8810837775460574f,
  0.8811064487806651f, 0.8811291179905376f, 0.8811517851756226f, 0.8811744503358682f,
  0.8811971134712220f, 0.8812197745816323f, 0.8812424336670467f, 0.8812650907274132f,
  0.8812877457626801f, 0.8813103987727948f, 0.8813330497577055f, 0.8813556987173603f,
  0.8813783456517068f, 0.8814009905606933f, 0.8814236334442676f, 0.8814462743023775f,
  0.8814689131349714f, 0.8814915499419970f, 0.8815141847234021f, 0.8815368174791351f,
  0.8815594482091438f, 0.8815820769133761f, 0.8816047035917801f, 0.8816273282443038f,
  0.8816499508708953f, 0.8816725714715025f, 0.8816951900460732f, 0.8817178065945558f,
  0.8817404211168983f, 0.8817630336130485f, 0.8817856440829546f, 0.8818082525265647f,
  0.8818308589438266f, 0.8818534633346886f, 0.8818760656990986f, 0.8818986660370047f,
  0.8819212643483550f, 0.8819438606330976f, 0.8819664548911804f, 0.8819890471225518f,
  0.8820116373271596f, 0.8820342255049519f, 0.8820568116558770f, 0.8820793957798828f,
  0.8821019778769176f, 0.8821245579469292f, 0.8821471359898660f, 0.8821697120056760f,
  0.8821922859943074f, 0.8822148579557082f, 0.8822374278898266f, 0.8822599957966107f,
  0.8822825616760086f, 0.8823051255279687f, 0.8823276873524388f, 0.8823502471493673f,
  0.8823728049187023f, 0.8823953606603918f, 0.8824179143743842f, 0.8824404660606276f,
  0.8824630157190700f, 0.8824855633496599f, 0.8825081089523453f, 0.8825306525270744f,
  0.8825531940737954f, 0.8825757335924567f, 0.8825982710830060f, 0.8826208065453921f,
  0.8826433399795628f, 0.8826658713854665f, 0.8826884007630513f, 0.8827109281122656f,
  0.8827334534330575f, 0.8827559767253754f, 0.8827784979891674f, 0.8828010172243816f,
  0.8828235344309667f, 0.8828460496088705f, 0.8828685627580415f, 0.8828910738784279f,
  0.8829135829699780f, 0.8829360900326401f, 0.8829585950663623f, 0.8829810980710932f,
  0.8830035990467808f, 0.8830260979933735f, 0.8830485949108197f, 0.8830710897990676f,
  0.8830935826580654f, 0.8831160734877616f, 0.8831385622881045f, 0.8831610490590422f,
  0.8831835338005233f, 0.8832060165124961f, 0.8832284971949088f, 0.8832509758477097f,
  0.8832734524708474f, 0.8832959270642701f, 0.8833183996279260f, 0.8833408701617638f,
  0.8833633386657316f, 0.8833858051397778f, 0.8834082695838509f, 0.8834307319978991f,
  0.8834531923818710f, 0.8834756507357148f, 0.8834981070593788f, 0.8835205613528119f,
  0.8835430136159619f, 0.8835654638487774f, 0.8835879120512071f, 0.8836103582231990f,
  0.8836328023647018f, 0.8836552444756639f, 0.8836776845560335f, 0.8837001226057593f,
  0.8837225586247897f, 0.8837449926130728f, 0.8837674245705576f, 0.8837898544971922f,
  0.8838122823929251f, 0.8838347082577048f, 0.8838571320914798f, 0.8838795538941985f,
  0.8839019736658095f, 0.8839243914062610f, 0.8839468071155018f, 0.8839692207934803f,
  0.8839916324401449f, 0.8840140420554441f, 0.8840364496393266f, 0.8840588551917407f,
  0.8840812587126350f, 0.8841036602019580f, 0.8841260596596582f, 0.8841484570856841f,
  0.8841708524799845f, 0.8841932458425075f, 0.8842156371732021f, 0.8842380264720163f,
  0.8842604137388991f, 0.8842827989737990f, 0.8843051821766643f, 0.8843275633474439f,
  0.8843499424860861f, 0.8843723195925397f, 0.8843946946667530f, 0.8844170677086749f,
  0.8844394387182537f, 0.8844618076954381f, 0.8844841746401769f, 0.8845065395524184f,
  0.8845289024321114f, 0.8845512632792044f, 0.8845736220936461f, 0.8845959788753851f,
  0.8846183336243699f, 0.8846406863405493f, 0.8846630370238718f, 0.8846853856742862f,
  0.8847077322917409f, 0.8847300768761849f, 0.8847524194275665f, 0.8847747599458345f,
  0.8847970984309378f, 0.8848194348828247f, 0.8848417693014439f, 0.8848641016867443f,
  0.8848864320386746f, 0.8849087603571831f, 0.8849310866422190f, 0.8849534108937305f,
  0.8849757331116668f, 0.8849980532959761f, 0.8850203714466074f, 0.8850426875635096f,
  0.8850650016466309f, 0.8850873136959204f, 0.8851096237113270f, 0.8851319316927988f,
  0.8851542376402851f, 0.8851765415537345f, 0.8851988434330955f, 0.8852211432783172f,
  0.8852434410893483f, 0.8852657368661373f, 0.8852880306086331f, 0.8853103223167847f,
  0.8853326119905406f, 0.8853548996298497f, 0.8853771852346607f, 0.8853994688049224f,
  0.8854217503405837f, 0.8854440298415932f, 0.8854663073078999f, 0.8854885827394525f,
  0.8855108561362000f, 0.8855331274980909f, 0.8855553968250742f, 0.8855776641170988f,
  0.8855999293741134f, 0.8856221925960669f, 0.8856444537829080f, 0.8856667129345858f,
  0.8856889700510490f, 0.8857112251322464f, 0.8857334781781270f, 0.8857557291886395f,
  0.8857779781637329f, 0.8858002251033562f, 0.8858224700074578f, 0.8858447128759871f,
  0.8858669537088928f, 0.8858891925061236f, 0.8859114292676288f, 0.8859336639933569f,
  0.8859558966832570f, 0.8859781273372780f, 0.8860003559553689f, 0.8860225825374783f,
  0.8860448070835555f, 0.8860670295935493f, 0.8860892500674086f, 0.8861114685050822f,
  0.8861336849065193f, 0.8861558992716687f, 0.8861781116004795f, 0.8862003218929004f,
  0.8862225301488806f, 0.8862447363683690f, 0.8862669405513145f, 0.8862891426976661f,
  0.8863113428073729f, 0.8863335408803836f, 0.8863557369166475f, 0.8863779309161135f,
  0.8864001228787305f, 0.8864223128044476f, 0.8864445006932139f, 0.8864666865449782f,
  0.8864888703596896f, 0.8865110521372972f, 0.8865332318777499f, 0.8865554095809969f,
  0.8865775852469870f, 0.8865997588756694f, 0.8866219304669932f, 0.8866441000209074f,
  0.8866662675373609f, 0.8866884330163031f, 0.8867105964576827f, 0.8867327578614489f,
  0.8867549172275510f, 0.8867770745559376f, 0.8867992298465581f, 0.8868213830993618f,
  0.8868435343142973f, 0.8868656834913140f, 0.8868878306303610f, 0.8869099757313874f,
  0.8869321187943422f, 0.8869542598191745f, 0.8869763988058336f, 0.8869985357542686f,
  0.8870206706644284f, 0.8870428035362623f, 0.8870649343697196f, 0.8870870631647491f,
  0.8871091899213001f, 0.8871313146393219f, 0.8871534373187635f, 0.8871755579595740f,
  0.8871976765617029f, 0.8872197931250989f, 0.8872419076497116f, 0.8872640201354900f,
  0.8872861305823831f, 0.8873082389903405f, 0.8873303453593110f, 0.8873524496892441f,
  0.8873745519800889f, 0.8873966522317944f, 0.8874187504443102f, 0.8874408466175853f,
  0.8874629407515688f, 0.8874850328462102f, 0.8875071229014586f, 0.8875292109172632f,
  0.8875512968935734f, 0.8875733808303383f, 0.8875954627275071f, 0.8876175425850292f,
  0.8876396204028539f, 0.8876616961809304f, 0.8876837699192078f, 0.8877058416176357f,
  0.8877279112761630f, 0.8877499788947394f, 0.8877720444733138f, 0.8877941080118357f,
  0.8878161695102545f, 0.8878382289685193f, 0.8878602863865794f, 0.8878823417643844f,
  0.8879043951018832f, 0.8879264463990254f, 0.8879484956557604f, 0.8879705428720374f,
  0.8879925880478056f, 0.8880146311830145f, 0.8880366722776134f, 0.8880587113315518f,
  0.8880807483447789f, 0.8881027833172440f, 0.8881248162488966f, 0.8881468471396861f,
  0.8881688759895616f, 0.8881909027984729f, 0.8882129275663690f, 0.8882349502931995f,
  0.8882569709789139f, 0.8882789896234612f, 0.8883010062267911f, 0.8883230207888531f,
  0.8883450333095962f, 0.8883670437889702f, 0.8883890522269245f, 0.8884110586234084f,
  0.8884330629783713f, 0.8884550652917628f, 0.8884770655635320f, 0.8884990637936289f,
  0.8885210599820023f, 0.8885430541286021f, 0.8885650462333777f, 0.8885870362962784f,
  0.8886090243172537f, 0.8886310102962534f, 0.8886529942332265f, 0.8886749761281227f,
  0.8886969559808917f, 0.8887189337914826f, 0.8887409095598451f, 0.8887628832859287f,
  0.8887848549696828f, 0.8888068246110571f, 0.8888287922100010f, 0.8888507577664639f,
  0.8888727212803956f, 0.8888946827517454f, 0.8889166421804630f, 0.8889385995664978f,
  0.8889605549097993f, 0.8889825082103172f, 0.8890044594680010f, 0.8890264086828003f,
  0.8890483558546646f, 0.8890703009835434f, 0.8890922440693864f, 0.8891141851121431f,
  0.8891361241117632f, 0.8891580610681962f, 0.8891799959813915f, 0.8892019288512991f,
  0.8892238596778682f, 0.8892457884610487f, 0.8892677152007901f, 0.8892896398970419f,
  0.8893115625497540f, 0.8893334831588756f, 0.8893554017243567f, 0.8893773182461469f,
  0.8893992327241955f, 0.8894211451584525f, 0.8894430555488676f, 0.8894649638953901f,
  0.8894868701979698f, 0.8895087744565565f, 0.8895306766710998f, 0.8895525768415492f,
  0.8895744749678546f, 0.8895963710499656f, 0.8896182650878318f, 0.8896401570814030f,
  0.8896620470306288f, 0.8896839349354591f, 0.8897058207958433f, 0.8897277046117313f,
  0.8897495863830729f, 0.8897714661098175f, 0.8897933437919150f, 0.8898152194293153f,
  0.8898370930219679f, 0.8898589645698225f, 0.8898808340728291f, 0.8899027015309373f,
  0.8899245669440967f, 0.8899464303122573f, 0.8899682916353687f, 0.8899901509133807f,
  0.8900120081462433f, 0.8900338633339058f, 0.8900557164763183f, 0.8900775675734306f,
  0.8900994166251922f, 0.8901212636315534f, 0.8901431085924635f, 0.8901649515078724f,
  0.8901867923777302f, 0.8902086312019866f, 0.8902304679805910f, 0.8902523027134939f,
  0.8902741354006445f, 0.8902959660419930f, 0.8903177946374893f, 0.8903396211870829f,
  0.8903614456907237f, 0.8903832681483620f, 0.8904050885599470f, 0.8904269069254291f,
  0.8904487232447579f, 0.8904705375178832f, 0.8904923497447552f, 0.8905141599253233f,
  0.8905359680595378f, 0.8905577741473485f, 0.8905795781887050f, 0.8906013801835575f,
  0.8906231801318559f, 0.8906449780335499f, 0.8906667738885896f, 0.8906885676969249f,
  0.8907103594585055f, 0.8907321491732816f, 0.8907539368412031f, 0.8907757224622197f,
  0.8907975060362816f, 0.8908192875633385f, 0.8908410670433404f, 0.8908628444762375f,
  0.8908846198619795f, 0.8909063932005165f, 0.8909281644917985f, 0.8909499337357751f,
  0.8909717009323967f, 0.8909934660816133f, 0.8910152291833745f, 0.8910369902376306f,
  0.8910587492443316f, 0.8910805062034273f, 0.8911022611148677f, 0.8911240139786031f,
  0.8911457647945832f, 0.8911675135627583f, 0.8911892602830781f, 0.8912110049554929f,
  0.8912327475799526f, 0.8912544881564072f, 0.8912762266848069f, 0.8912979631651017f,
  0.8913196975972414f, 0.8913414299811764f, 0.8913631603168567f, 0.8913848886042320f,
  0.8914066148432529f, 0.8914283390338692f, 0.8914500611760310f, 0.8914717812696883f,
  0.8914934993147914f, 0.8915152153112902f, 0.8915369292591350f, 0.8915586411582755f,
  0.8915803510086623f, 0.8916020588102452f, 0.8916237645629744f, 0.8916454682668000f,
  0.8916671699216724f, 0.8916888695275412f, 0.8917105670843569f, 0.8917322625920696f,
  0.8917539560506295f, 0.8917756474599864f, 0.8917973368200910f, 0.8918190241308930f,
  0.8918407093923427f, 0.8918623926043904f, 0.8918840737669861f, 0.8919057528800801f,
  0.8919274299436225f, 0.8919491049575635f, 0.8919707779218535f, 0.8919924488364424f,
  0.8920141177012804f, 0.8920357845163179f, 0.8920574492815051f, 0.8920791119967920f,
  0.8921007726621292f, 0.8921224312774664f, 0.8921440878427542f, 0.8921657423579429f,
  0.8921873948229825f, 0.8922090452378233f, 0.8922306936024157f, 0.8922523399167097f,
  0.8922739841806557f, 0.8922956263942041f, 0.8923172665573049f, 0.8923389046699086f,
  0.8923605407319654f, 0.8923821747434254f, 0.8924038067042391f, 0.8924254366143568f,
  0.8924470644737287f, 0.8924686902823051f, 0.8924903140400363f, 0.8925119357468727f,
  0.8925335554027647f, 0.8925551730076623f, 0.8925767885615159f, 0.8925984020642762f,
  0.8926200135158930f, 0.8926416229163171f, 0.8926632302654987f, 0.8926848355633878f,
  0.8927064388099354f, 0.8927280400050912f, 0.8927496391488060f, 0.8927712362410301f,
  0.8927928312817136f, 0.8928144242708073f, 0.8928360152082613f, 0.8928576040940259f,
  0.8928791909280517f, 0.8929007757102891f, 0.8929223584406883f, 0.8929439391191999f,
  0.8929655177457743f, 0.8929870943203618f, 0.8930086688429129f, 0.8930302413133779f,
  0.8930518117317074f, 0.8930733800978518f, 0.8930949464117613f, 0.8931165106733867f,
  0.8931380728826783f, 0.8931596330395865f, 0.8931811911440617f, 0.8932027471960545f,
  0.8932243011955153f, 0.8932458531423946f, 0.8932674030366429f, 0.8932889508782106f,
  0.8933104966670481f, 0.8933320404031062f, 0.8933535820863351f, 0.8933751217166854f,
  0.8933966592941076f, 0.8934181948185522f, 0.8934397282899699f, 0.8934612597083109f,
  0.8934827890735259f, 0.8935043163855654f, 0.8935258416443798f, 0.8935473648499198f,
  0.8935688860021360f, 0.8935904051009788f, 0.8936119221463987f, 0.8936334371383464f,
  0.8936549500767724f, 0.8936764609616273f, 0.8936979697928618f, 0.8937194765704261f,
  0.8937409812942710f, 0.8937624839643472f, 0.8937839845806052f, 0.8938054831429953f,
  0.8938269796514686f, 0.8938484741059755f, 0.8938699665064664f, 0.8938914568528922f,
  0.8939129451452033f, 0.8939344313833504f, 0.8939559155672842f, 0.8939773976969552f,
  0.8939988777723142f, 0.8940203557933117f, 0.8940418317598984f, 0.8940633056720250f,
  0.8940847775296420f, 0.8941062473327001f, 0.8941277150811502f, 0.8941491807749427f,
  0.8941706444140283f, 0.8941921059983577f, 0.8942135655278818f, 0.8942350230025510f,
  0.8942564784223160f, 0.8942779317871278f, 0.8942993830969368f, 0.8943208323516938f,
  0.8943422795513495f, 0.8943637246958547f, 0.8943851677851599f, 0.8944066088192160f,
  0.8944280477979738f, 0.8944494847213839f, 0.8944709195893971f, 0.8944923524019641f,
  0.8945137831590356f, 0.8945352118605624f, 0.8945566385064955f, 0.8945780630967852f,
  0.8945994856313827f, 0.8946209061102385f, 0.8946423245333034f, 0.8946637409005284f,
  0.8946851552118640f, 0.8947065674672611f, 0.8947279776666706f, 0.8947493858100430f,
  0.8947707918973296f, 0.8947921959284808f, 0.8948135979034475f, 0.8948349978221806f,
  0.8948563956846309f, 0.8948777914907493f, 0.8948991852404864f, 0.8949205769337933f,
  0.8949419665706208f, 0.8949633541509195f, 0.8949847396746405f, 0.8950061231417346f,
  0.8950275045521526f, 0.8950488839058455f, 0.8950702612027640f, 0.8950916364428592f,
  0.8951130096260818f, 0.8951343807523826f, 0.8951557498217128f, 0.8951771168340229f,
  0.8951984817892642f, 0.8952198446873874f, 0.8952412055283434f, 0.8952625643120831f,
  0.8952839210385576f, 0.8953052757077175f, 0.8953266283195140f, 0.8953479788738979f,
  0.8953693273708203f, 0.8953906738102320f, 0.8954120181920839f, 0.8954333605163270f,
  0.8954547007829124f, 0.8954760389917908f, 0.8954973751429135f, 0.8955187092362312f,
  0.8955400412716948f, 0.8955613712492556f, 0.8955826991688645f, 0.8956040250304722f,
  0.8956253488340300f, 0.8956466705794889f, 0.8956679902667997f, 0.8956893078959134f,
  0.8957106234667813f, 0.8957319369793543f, 0.8957532484335833f, 0.8957745578294193f,
  0.8957958651668134f, 0.8958171704457168f, 0.8958384736660804f, 0.8958597748278552f,
  0.8958810739309924f, 0.8959023709754429f, 0.8959236659611578f, 0.8959449588880882f,
  0.8959662497561851f, 0.8959875385653997f, 0.8960088253156830f, 0.8960301100069861f,
  0.8960513926392600f, 0.8960726732124561f, 0.8960939517265251f, 0.8961152281814183f,
  0.8961365025770868f, 0.8961577749134817f, 0.8961790451905541f, 0.8962003134082551f,
  0.8962215795665359f, 0.8962428436653477f, 0.8962641057046414f, 0.8962853656843683f,
  0.8963066236044797f, 0.8963278794649263f, 0.8963491332656596f, 0.8963703850066308f,
  0.8963916346877908f, 0.8964128823090910f, 0.8964341278704825f, 0.8964553713719164f,
  0.8964766128133441f, 0.8964978521947166f, 0.8965190895159850f, 0.8965403247771008f,
  0.8965615579780150f, 0.8965827891186787f, 0.8966040181990435f, 0.8966252452190602f,
  0.8966464701786802f, 0.8966676930778548f, 0.8966889139165350f, 0.8967101326946724f,
  0.8967313494122179f, 0.8967525640691228f, 0.8967737766653385f, 0.8967949872008163f,
  0.8968161956755072f, 0.8968374020893627f, 0.8968586064423339f, 0.8968798087343721f,
  0.8969010089654288f, 0.8969222071354549f, 0.8969434032444019f, 0.8969645972922212f,
  0.8969857892788640f, 0.8970069792042815f, 0.8970281670684251f, 0.8970493528712461f,
  0.8970705366126959f, 0.8970917182927257f, 0.8971128979112868f, 0.8971340754683306f,
  0.8971552509638085f, 0.8971764243976716f, 0.8971975957698717f, 0.8972187650803597f,
  0.8972399323290871f, 0.8972610975160054f, 0.8972822606410656f, 0.8973034217042195f,
  0.8973245807054183f, 0.8973457376446132f, 0.8973668925217558f, 0.8973880453367976f,
  0.8974091960896897f, 0.8974303447803835f, 0.8974514914088307f, 0.8974726359749825f,
  0.8974937784787902f, 0.8975149189202055f, 0.8975360572991796f, 0.8975571936156641f,
  0.8975783278696102f, 0.8975994600609695f, 0.8976205901896934f, 0.8976417182557334f,
  0.8976628442590407f, 0.8976839681995672f, 0.8977050900772640f, 0.8977262098920826f,
  0.8977473276439747f, 0.8977684433328915f, 0.8977895569587846f, 0.8978106685216055f,
  0.8978317780213056f, 0.8978528854578365f, 0.8978739908311496f, 0.8978950941411965f,
  0.8979161953879286f, 0.8979372945712975f, 0.8979583916912546f, 0.8979794867477516f,
  0.8980005797407399f, 0.8980216706701709f, 0.8980427595359965f, 0.8980638463381679f,
  0.8980849310766368f, 0.8981060137513547f, 0.8981270943622731f, 0.8981481729093437f,
  0.8981692493925181f, 0.8981903238117476f, 0.8982113961669840f, 0.8982324664581788f,
  0.8982535346852836f, 0.8982746008482498f, 0.8982956649470294f, 0.8983167269815736f,
  0.8983377869518343f, 0.8983588448577629f, 0.8983799006993111f, 0.8984009544764304f,
  0.8984220061890725f, 0.8984430558371892f, 0.8984641034207319f, 0.8984851489396523f,
  0.8985061923939018f, 0.8985272337834327f, 0.8985482731081960f, 0.8985693103681435f,
  0.8985903455632270f, 0.8986113786933981f, 0.8986324097586085f, 0.8986534387588099f,
  0.8986744656939538f, 0.8986954905639921f, 0.8987165133688764f, 0.8987375341085582f,
  0.8987585527829896f, 0.8987795693921218f, 0.8988005839359069f, 0.8988215964142966f,
  0.8988426068272423f, 0.8988636151746959f, 0.8988846214566094f, 0.8989056256729341f,
  0.8989266278236219f, 0.8989476279086246f, 0.8989686259278938f, 0.8989896218813813f,
  0.8990106157690391f, 0.8990316075908186f, 0.8990525973466718f, 0.8990735850365502f,
  0.8990945706604058f, 0.8991155542181903f, 0.8991365357098555f, 0.8991575151353532f,
  0.8991784924946353f, 0.8991994677876534f, 0.8992204410143593f, 0.8992414121747049f,
  0.8992623812686420f, 0.8992833482961223f, 0.8993043132570979f, 0.8993252761515204f,
  0.8993462369793415f, 0.8993671957405134f, 0.8993881524349876f, 0.8994091070627163f,
  0.8994300596236509f, 0.8994510101177434f, 0.8994719585449460f, 0.8994929049052102f,
  0.8995138491984879f, 0.8995347914247311f, 0.8995557315838917f, 0.8995766696759213f,
  0.8995976057007722f, 0.8996185396583959f, 0.8996394715487445f, 0.8996604013717699f,
  0.8996813291274239f, 0.8997022548156586f, 0.8997231784364257f, 0.8997440999896772f,
  0.8997650194753650f, 0.8997859368934412f, 0.8998068522438576f, 0.8998277655265661f,
  0.8998486767415186f, 0.8998695858886671f, 0.8998904929679638f, 0.8999113979793602f,
  0.8999323009228084f, 0.8999532017982608f, 0.8999741006056687f, 0.8999949973449846f,
  0.9000158920161603f, 0.9000367846191476f, 0.9000576751538988f, 0.9000785636203658f,
  0.9000994500185003f, 0.9001203343482548f, 0.9001412166095810f, 0.9001620968024310f,
  0.9001829749267568f, 0.9002038509825104f, 0.9002247249696438f, 0.9002455968881092f,
  0.9002664667378585f, 0.9002873345188437f, 0.9003082002310170f, 0.9003290638743302f,
  0.9003499254487356f, 0.9003707849541852f, 0.9003916423906311f, 0.9004124977580251f,
  0.9004333510563198f, 0.9004542022854668f, 0.9004750514454183f, 0.9004958985361267f,
  0.9005167435575435f, 0.9005375865096215f, 0.9005584273923122f, 0.9005792662055679f,
  0.9006001029493409f, 0.9006209376235832f, 0.9006417702282468f, 0.9006626007632841f,
  0.9006834292286469f, 0.9007042556242876f, 0.9007250799501583f, 0.9007459022062109f,
  0.9007667223923979f, 0.9007875405086713f, 0.9008083565549831f, 0.9008291705312858f,
  0.9008499824375314f, 0.9008707922736721f, 0.9008916000396600f, 0.9009124057354473f,
  0.9009332093609862f, 0.9009540109162291f, 0.9009748104011278f, 0.9009956078156348f,
  0.9010164031597023f, 0.9010371964332825f, 0.9010579876363274f, 0.9010787767687896f,
  0.9010995638306210f, 0.9011203488217738f, 0.9011411317422007f, 0.9011619125918534f,
  0.9011826913706844f, 0.9012034680786460f, 0.9012242427156903f, 0.9012450152817698f,
  0.9012657857768366f, 0.9012865542008428f, 0.9013073205537411f, 0.9013280848354833f,
  0.9013488470460220f, 0.9013696071853095f, 0.9013903652532979f, 0.9014111212499396f,
  0.9014318751751870f, 0.9014526270289922f, 0.9014733768113077f, 0.9014941245220858f,
  0.9015148701612786f, 0.9015356137288387f, 0.9015563552247184f, 0.9015770946488699f,
  0.9015978320012457f, 0.9016185672817980f, 0.9016393004904791f, 0.9016600316272416f,
  0.9016807606920377f, 0.9017014876848197f, 0.9017222126055402f, 0.9017429354541514f,
  0.9017636562306056f, 0.9017843749348555f, 0.9018050915668532f, 0.9018258061265511f,
  0.9018465186139019f, 0.9018672290288575f, 0.9018879373713707f, 0.9019086436413940f,
  0.9019293478388793f, 0.9019500499637796f, 0.9019707500160471f, 0.9019914479956340f,
  0.9020121439024932f, 0.9020328377365767f, 0.9020535294978372f, 0.9020742191862272f,
  0.9020949068016989f, 0.9021155923442049f, 0.9021362758136978f, 0.9021569572101298f,
  0.9021776365334535f, 0.9021983137836216f, 0.9022189889605862f, 0.9022396620643000f,
  0.9022603330947155f, 0.9022810020517852f, 0.9023016689354615f, 0.9023223337456970f,
  0.9023429964824442f, 0.9023636571456557f, 0.9023843157352838f, 0.9024049722512811f,
  0.9024256266936004f, 0.9024462790621939f, 0.9024669293570142f, 0.9024875775780141f,
  0.9025082237251458f, 0.9025288677983622f, 0.9025495097976156f, 0.9025701497228587f,
  0.9025907875740439f, 0.9026114233511240f, 0.9026320570540514f, 0.9026526886827788f,
  0.9026733182372588f, 0.9026939457174439f, 0.9027145711232868f, 0.9027351944547400f,
  0.9027558157117561f, 0.9027764348942879f, 0.9027970520022879f, 0.9028176670357085f,
  0.9028382799945028f, 0.9028588908786230f, 0.9028794996880219f, 0.9029001064226524f,
  0.9029207110824666f, 0.9029413136674176f, 0.9029619141774580f, 0.9029825126125403f,
  0.9030031089726170f, 0.9030237032576414f, 0.9030442954675655f, 0.9030648856023424f,
  0.9030854736619246f, 0.9031060596462648f, 0.9031266435553158f, 0.9031472253890301f,
  0.9031678051473606f, 0.9031883828302602f, 0.9032089584376810f, 0.9032295319695761f,
  0.9032501034258984f, 0.9032706728066003f, 0.9032912401116346f, 0.9033118053409543f,
  0.9033323684945118f, 0.9033529295722600f, 0.9033734885741517f, 0.9033940455001395f,
  0.9034146003501763f, 0.9034351531242149f, 0.9034557038222079f, 0.9034762524441081f,
  0.9034967989898685f, 0.9035173434594416f, 0.9035378858527804f, 0.9035584261698376f,
  0.9035789644105660f, 0.9035995005749184f, 0.9036200346628477f, 0.9036405666743066f,
  0.9036610966092480f, 0.9036816244676247f, 0.9037021502493894f, 0.9037226739544951f,
  0.9037431955828946f, 0.9037637151345407f, 0.9037842326093865f, 0.9038047480073843f,
  0.9038252613284875f, 0.9038457725726486f, 0.9038662817398206f, 0.9038867888299565f,
  0.9039072938430091f, 0.9039277967789311f, 0.9039482976376756f, 0.9039687964191954f,
  0.9039892931234433f, 0.9040097877503724f, 0.9040302802999355f, 0.9040507707720855f,
  0.9040712591667754f, 0.9040917454839581f, 0.9041122297235863f, 0.9041327118856133f,
  0.9041531919699917f, 0.9041736699766747f, 0.9041941459056150f, 0.9042146197567656f,
  0.9042350915300797f, 0.9042555612255101f, 0.9042760288430096f, 0.9042964943825315f,
  0.9043169578440283f, 0.9043374192274534f, 0.9043578785327596f, 0.9043783357598999f,
  0.9043987909088274f, 0.9044192439794949f, 0.9044396949718555f, 0.9044601438858623f,
  0.9044805907214682f, 0.9045010354786261f, 0.9045214781572894f, 0.9045419187574107f,
  0.9045623572789432f, 0.9045827937218400f, 0.9046032280860541f, 0.9046236603715384f,
  0.9046440905782462f, 0.9046645187061304f, 0.9046849447551439f, 0.9047053687252402f,
  0.9047257906163719f, 0.9047462104284923f, 0.9047666281615546f, 0.9047870438155116f,
  0.9048074573903165f, 0.9048278688859226f, 0.9048482783022826f, 0.9048686856393500f,
  0.9048890908970775f, 0.9049094940754185f, 0.9049298951743261f, 0.9049502941937533f,
  0.9049706911336532f, 0.9049910859939791f, 0.9050114787746840f, 0.9050318694757211f,
  0.9050522580970436f, 0.9050726446386045f, 0.9050930291003570f, 0.9051134114822544f,
  0.9051337917842496f, 0.9051541700062959f, 0.9051745461483467f, 0.9051949202103547f,
  0.9052152921922736f, 0.9052356620940561f, 0.9052560299156557f, 0.9052763956570256f,
  0.9052967593181188f, 0.9053171208988886f, 0.9053374803992883f, 0.9053578378192710f,
  0.9053781931587900f, 0.9053985464177986f, 0.9054188975962497f, 0.9054392466940968f,
  0.9054595937112933f, 0.9054799386477920f, 0.9055002815035464f, 0.9055206222785099f,
  0.9055409609726355f, 0.9055612975858766f, 0.9055816321181864f, 0.9056019645695181f,
  0.9056222949398253f, 0.9056426232290609f, 0.9056629494371783f, 0.9056832735641310f,
  0.9057035956098720f, 0.9057239155743547f, 0.9057442334575326f, 0.9057645492593587f,
  0.9057848629797864f, 0.9058051746187694f, 0.9058254841762604f, 0.9058457916522131f,
  0.9058660970465809f, 0.9058864003593170f, 0.9059067015903747f, 0.9059270007397074f,
  0.9059472978072685f, 0.9059675927930113f, 0.9059878856968892f, 0.9060081765188555f,
  0.9060284652588636f, 0.9060487519168670f, 0.9060690364928188f, 0.9060893189866728f,
  0.9061095993983820f, 0.9061298777279000f, 0.9061501539751802f, 0.9061704281401759f,
  0.9061907002228405f, 0.9062109702231277f, 0.9062312381409906f, 0.9062515039763828f,
  0.9062717677292577f, 0.9062920293995685f, 0.9063122889872690f, 0.9063325464923124f,
  0.9063528019146523f, 0.9063730552542422f, 0.9063933065110353f, 0.9064135556849852f,
  0.9064338027760455f, 0.9064540477841695f, 0.9064742907093106f, 0.9064945315514227f,
  0.9065147703104588f, 0.9065350069863726f, 0.9065552415791177f, 0.9065754740886474f,
  0.9065957045149153f, 0.9066159328578750f, 0.9066361591174799f, 0.9066563832936836f,
  0.9066766053864395f, 0.9066968253957012f, 0.9067170433214223f, 0.9067372591635562f,
  0.9067574729220566f, 0.9067776845968770f, 0.9067978941879709f, 0.9068181016952918f,
  0.9068383071187935f, 0.9068585104584294f, 0.9068787117141530f, 0.9068989108859181f,
  0.9069191079736780f, 0.9069393029773866f, 0.9069594958969974f, 0.9069796867324638f,
  0.9069998754837396f, 0.9070200621507784f, 0.9070402467335337f, 0.9070604292319592f,
  0.9070806096460085f, 0.9071007879756351f, 0.9071209642207930f, 0.9071411383814354f,
  0.9071613104575162f, 0.9071814804489891f, 0.9072016483558075f, 0.9072218141779251f,
  0.9072419779152959f, 0.9072621395678732f, 0.9072822991356106f, 0.9073024566184622f,
  0.9073226120163813f, 0.9073427653293218f, 0.9073629165572373f, 0.9073830657000815f,
  0.9074032127578081f, 0.9074233577303707f, 0.9074435006177233f, 0.9074636414198194f,
  0.9074837801366126f, 0.9075039167680568f, 0.9075240513141057f, 0.9075441837747131f,
  0.9075643141498325f, 0.9075844424394180f, 0.9076045686434231f, 0.9076246927618015f,
  0.9076448147945071f, 0.9076649347414937f, 0.9076850526027148f, 0.9077051683781245f,
  0.9077252820676763f, 0.9077453936713243f, 0.9077655031890219f, 0.9077856106207232f,
  0.9078057159663819f, 0.9078258192259517f, 0.9078459203993864f, 0.9078660194866400f,
  0.9078861164876662f, 0.9079062114024188f, 0.9079263042308516f, 0.9079463949729185f,
  0.9079664836285732f, 0.9079865701977698f, 0.9080066546804619f, 0.9080267370766034f,
  0.9080468173861483f, 0.9080668956090503f, 0.9080869717452632f, 0.9081070457947410f,
  0.9081271177574376f, 0.9081471876333067f, 0.9081672554223024f, 0.9081873211243784f,
  0.9082073847394887f, 0.9082274462675871f, 0.9082475057086276f, 0.9082675630625641f,
  0.9082876183293505f, 0.9083076715089405f, 0.9083277226012884f, 0.9083477716063478f,
  0.9083678185240728f, 0.9083878633544173f, 0.9084079060973353f, 0.9084279467527807f,
  0.9084479853207073f, 0.9084680218010691f, 0.9084880561938203f, 0.9085080884989146f,
  0.9085281187163061f, 0.9085481468459488f, 0.9085681728877965f, 0.9085881968418033f,
  0.9086082187079232f, 0.9086282384861101f, 0.9086482561763181f, 0.9086682717785013f,
  0.9086882852926134f, 0.9087082967186085f, 0.9087283060564409f, 0.9087483133060643f,
  0.9087683184674329f, 0.9087883215405006f, 0.9088083225252215f, 0.9088283214215497f,
  0.9088483182294391f, 0.9088683129488438f, 0.9088883055797180f, 0.9089082961220155f,
  0.9089282845756906f, 0.9089482709406973f, 0.9089682552169897f, 0.9089882374045216f,
  0.9090082175032475f, 0.9090281955131212f, 0.9090481714340969f, 0.9090681452661287f,
  0.9090881170091706f, 0.9091080866631768f, 0.9091280542281015f, 0.9091480197038986f,
  0.9091679830905224f, 0.9091879443879269f, 0.9092079035960663f, 0.9092278607148948f,
  0.9092478157443663f, 0.9092677686844353f, 0.9092877195350556f, 0.9093076682961816f,
  0.9093276149677673f, 0.9093475595497670f, 0.9093675020421347f, 0.9093874424448247f,
  0.9094073807577913f, 0.9094273169809883f, 0.9094472511143703f, 0.9094671831578912f,
  0.9094871131115054f, 0.9095070409751670f, 0.9095269667488302f, 0.9095468904324492f,
  0.9095668120259783f, 0.9095867315293716f, 0.9096066489425835f, 0.9096265642655681f,
  0.9096464774982795f, 0.9096663886406723f, 0.9096862976927005f, 0.9097062046543183f,
  0.9097261095254802f, 0.9097460123061402f, 0.9097659129962526f, 0.9097858115957719f,
  0.9098057081046522f, 0.9098256025228478f, 0.9098454948503131f, 0.9098653850870020f,
  0.9098852732328692f, 0.9099051592878689f, 0.9099250432519552f, 0.9099449251250827f,
  0.9099648049072057f, 0.9099846825982782f, 0.9100045581982548f, 0.9100244317070898f,
  0.9100443031247374f, 0.9100641724511520f, 0.9100840396862881f, 0.9101039048300998f,
  0.9101237678825416f, 0.9101436288435678f, 0.9101634877131328f, 0.9101833444911910f,
  0.9102031991776965f, 0.9102230517726040f, 0.9102429022758679f, 0.9102627506874422f,
  0.9102825970072818f, 0.9103024412353407f, 0.9103222833715734f, 0.9103421234159343f,
  0.9103619613683780f, 0.9103817972288586f, 0.9104016309973307f, 0.9104214626737488f,
  0.9104412922580671f, 0.9104611197502402f, 0.9104809451502227f, 0.9105007684579686f,
  0.9105205896734327f, 0.9105404087965693f, 0.9105602258273329f, 0.9105800407656780f,
  0.9105998536115589f, 0.9106196643649302f, 0.9106394730257465f, 0.9106592795939621f,
  0.9106790840695316f, 0.9106988864524094f, 0.9107186867425499f, 0.9107384849399077f,
  0.9107582810444376f, 0.9107780750560935f, 0.9107978669748305f, 0.9108176568006028f,
  0.9108374445333650f, 0.9108572301730715f, 0.9108770137196772f, 0.9108967951731362f,
  0.9109165745334034f, 0.9109363518004330f, 0.9109561269741798f, 0.9109759000545984f,
  0.9109956710416431f, 0.9110154399352687f, 0.9110352067354298f, 0.9110549714420808f,
  0.9110747340551762f, 0.9110944945746711f, 0.9111142530005194f, 0.9111340093326762f,
  0.9111537635710959f, 0.9111735157157331f, 0.9111932657665425f, 0.9112130137234786f,
  0.9112327595864962f, 0.9112525033555497f, 0.9112722450305939f, 0.9112919846115833f,
  0.9113117220984728f, 0.9113314574912167f, 0.9113511907897698f, 0.9113709219940869f,
  0.9113906511041223f, 0.9114103781198311f, 0.9114301030411677f, 0.9114498258680868f,
  0.9114695466005430f, 0.9114892652384913f, 0.9115089817818860f, 0.9115286962306819f,
  0.9115484085848340f, 0.9115681188442966f, 0.9115878270090247f, 0.9116075330789728f,
  0.9116272370540957f, 0.9116469389343481f, 0.9116666387196848f, 0.9116863364100605f,
  0.9117060320054299f, 0.9117257255057477f, 0.9117454169109687f, 0.9117651062210478f,
  0.9117847934359394f, 0.9118044785555985f, 0.9118241615799800f, 0.9118438425090384f,
  0.9118635213427285f, 0.9118831980810053f, 0.9119028727238233f, 0.9119225452711376f,
  0.9119422157229026f, 0.9119618840790734f, 0.9119815503396048f, 0.9120012145044515f,
  0.9120208765735682f, 0.9120405365469101f, 0.9120601944244316f, 0.9120798502060877f,
  0.9120995038918335f, 0.9121191554816234f, 0.9121388049754123f, 0.9121584523731554f,
  0.9121780976748071f, 0.9121977408803226f, 0.9122173819896566f, 0.9122370210027640f,
  0.9122566579195998f, 0.9122762927401186f, 0.9122959254642754f, 0.9123155560920252f,
  0.9123351846233227f, 0.9123548110581230f, 0.9123744353963810f, 0.9123940576380513f,
  0.9124136777830890f, 0.9124332958314492f, 0.9124529117830865f, 0.9124725256379560f,
  0.9124921373960126f, 0.9125117470572113f, 0.9125313546215068f, 0.9125509600888544f,
  0.9125705634592087f, 0.9125901647325249f, 0.9126097639087579f, 0.9126293609878625f,
  0.9126489559697940f, 0.9126685488545070f, 0.9126881396419566f, 0.9127077283320980f,
  0.9127273149248859f, 0.9127468994202753f, 0.9127664818182215f, 0.9127860621186792f,
  0.9128056403216035f, 0.9128252164269495f, 0.9128447904346720f, 0.9128643623447262f,
  0.9128839321570672f, 0.9129034998716498f, 0.9129230654884291f, 0.9129426290073602f,
  0.9129621904283981f, 0.9129817497514980f, 0.9130013069766147f, 0.9130208621037034f,
  0.9130404151327193f, 0.9130599660636171f, 0.9130795148963521f, 0.9130990616308795f,
  0.9131186062671541f, 0.9131381488051312f, 0.9131576892447659f, 0.9131772275860132f,
  0.9131967638288282f, 0.9132162979731661f, 0.9132358300189818f, 0.9132553599662306f,
  0.9132748878148678f, 0.9132944135648481f, 0.9133139372161269f, 0.9133334587686592f,
  0.9133529782224002f, 0.9133724955773053f, 0.9133920108333292f, 0.9134115239904272f,
  0.9134310350485547f, 0.9134505440076667f, 0.9134700508677183f, 0.9134895556286647f,
  0.9135090582904611f, 0.9135285588530627f, 0.9135480573164249f, 0.9135675536805025f,
  0.9135870479452508f, 0.9136065401106253f, 0.9136260301765807f, 0.9136455181430728f,
  0.9136650040100563f, 0.9136844877774867f, 0.9137039694453193f, 0.9137234490135091f,
  0.9137429264820114f, 0.9137624018507816f, 0.9137818751197747f, 0.9138013462889460f,
  0.9138208153582511f, 0.9138402823276449f, 0.9138597471970826f, 0.9138792099665199f,
  0.9138986706359117f, 0.9139181292052133f, 0.9139375856743802f, 0.9139570400433674f,
  0.9139764923121306f, 0.9139959424806247f, 0.9140153905488052f, 0.9140348365166274f,
  0.9140542803840465f, 0.9140737221510179f, 0.9140931618174971f, 0.9141125993834391f,
  0.9141320348487995f, 0.9141514682135334f, 0.9141708994775964f, 0.9141903286409436f,
  0.9142097557035307f, 0.9142291806653127f, 0.9142486035262449f, 0.9142680242862832f,
  0.9142874429453824f, 0.9143068595034983f, 0.9143262739605860f, 0.9143456863166008f,
  0.9143650965714986f, 0.9143845047252342f, 0.9144039107777634f, 0.9144233147290415f,
  0.9144427165790239f, 0.9144621163276658f, 0.9144815139749231f, 0.9145009095207508f,
  0.9145203029651044f, 0.9145396943079396f, 0.9145590835492116f, 0.9145784706888758f,
  0.9145978557268878f, 0.9146172386632030f, 0.9146366194977767f, 0.9146559982305649f,
  0.9146753748615224f, 0.9146947493906050f, 0.9147141218177682f, 0.9147334921429674f,
  0.9147528603661582f, 0.9147722264872958f, 0.9147915905063361f, 0.9148109524232344f,
  0.9148303122379461f, 0.9148496699504269f, 0.9148690255606323f, 0.9148883790685176f,
  0.9149077304740386f, 0.9149270797771508f, 0.9149464269778096f, 0.9149657720759705f,
  0.9149851150715893f, 0.9150044559646213f, 0.9150237947550223f, 0.9150431314427475f,
  0.9150624660277528f, 0.9150817985099937f, 0.9151011288894256f, 0.9151204571660042f,
  0.9151397833396853f, 0.9151591074104241f, 0.9151784293781763f, 0.9151977492428978f,
  0.9152170670045437f, 0.9152363826630701f, 0.9152556962184324f, 0.9152750076705861f,
  0.9152943170194870f, 0.9153136242650908f, 0.9153329294073528f, 0.9153522324462290f,
  0.9153715333816748f, 0.9153908322136458f, 0.9154101289420981f, 0.9154294235669868f,
  0.9154487160882678f, 0.9154680065058969f, 0.9154872948198295f, 0.9155065810300215f,
  0.9155258651364285f, 0.9155451471390061f, 0.9155644270377101f, 0.9155837048324963f,
  0.9156029805233202f, 0.9156222541101375f, 0.9156415255929041f, 0.9156607949715756f,
  0.9156800622461077f, 0.9156993274164561f, 0.9157185904825765f, 0.9157378514444249f,
  0.9157571103019567f, 0.9157763670551279f, 0.9157956217038942f, 0.9158148742482112f,
  0.9158341246880347f, 0.9158533730233206f, 0.9158726192540245f, 0.9158918633801023f,
  0.9159111054015099f, 0.9159303453182027f, 0.9159495831301369f, 0.9159688188372680f,
  0.9159880524395518f, 0.9160072839369444f, 0.9160265133294013f, 0.9160457406168785f,
  0.9160649657993317f, 0.9160841888767167f, 0.9161034098489894f, 0.9161226287161057f,
  0.9161418454780214f, 0.9161610601346921f, 0.9161802726860740f, 0.9161994831321227f,
  0.9162186914727941f, 0.9162378977080443f, 0.9162571018378288f, 0.9162763038621037f,
  0.9162955037808248f, 0.9163147015939480f, 0.9163338973014292f, 0.9163530909032244f,
  0.9163722823992891f, 0.9163914717895797f, 0.9164106590740517f, 0.9164298442526612f,
  0.9164490273253642f, 0.9164682082921164f, 0.9164873871528738f, 0.9165065639075924f,
  0.9165257385562281f, 0.9165449110987368f, 0.9165640815350746f, 0.9165832498651972f,
  0.9166024160890607f, 0.9166215802066211f, 0.9166407422178342f, 0.9166599021226560f,
  0.9166790599210427f, 0.9166982156129500f, 0.9167173691983340f, 0.9167365206771506f,
  0.9167556700493560f, 0.9167748173149060f, 0.9167939624737566f, 0.9168131055258639f,
  0.9168322464711839f, 0.9168513853096726f, 0.9168705220412859f, 0.9168896566659801f,
  0.9169087891837110f, 0.9169279195944346f, 0.9169470478981072f, 0.9169661740946846f,
  0.9169852981841229f, 0.9170044201663783f, 0.9170235400414066f, 0.9170426578091642f,
  0.9170617734696068f, 0.9170808870226906f, 0.9170999984683720f, 0.9171191078066065f,
  0.9171382150373507f, 0.9171573201605605f, 0.9171764231761919f, 0.9171955240842010f,
  0.9172146228845443f, 0.9172337195771774f, 0.9172528141620565f, 0.9172719066391380f,
  0.9172909970083779f, 0.9173100852697322f, 0.9173291714231574f, 0.9173482554686091f,
  0.9173673374060439f, 0.9173864172354177f, 0.9174054949566867f, 0.9174245705698072f,
  0.9174436440747352f, 0.9174627154714269f, 0.9174817847598385f, 0.9175008519399263f,
  0.9175199170116463f, 0.9175389799749548f, 0.9175580408298079f, 0.9175770995761618f,
  0.9175961562139729f, 0.9176152107431972f, 0.9176342631637909f, 0.9176533134757104f,
  0.9176723616789118f, 0.9176914077733515f, 0.9177104517589852f, 0.9177294936357698f,
  0.9177485334036612f, 0.9177675710626158f, 0.9177866066125897f, 0.9178056400535393f,
  0.9178246713854206f, 0.9178437006081901f, 0.9178627277218041f, 0.9178817527262187f,
  0.9179007756213904f, 0.9179197964072754f, 0.9179388150838298f, 0.9179578316510102f,
  0.9179768461087727f, 0.9179958584570737f, 0.9180148686958693f, 0.9180338768251162f,
  0.9180528828447704f, 0.9180718867547883f, 0.9180908885551264f, 0.9181098882457408f,
  0.9181288858265880f, 0.9181478812976241f, 0.9181668746588059f, 0.9181858659100893f,
  0.9182048550514309f, 0.9182238420827870f, 0.9182428270041141f, 0.9182618098153683f,
  0.9182807905165061f, 0.9182997691074840f, 0.9183187455882583f, 0.9183377199587853f,
  0.9183566922190217f, 0.9183756623689235f, 0.9183946304084475f, 0.9184135963375497f,
  0.9184325601561868f, 0.9184515218643153f, 0.9184704814618914f, 0.9184894389488715f,
  0.9185083943252123f, 0.9185273475908700f, 0.9185462987458011f, 0.9185652477899622f,
  0.9185841947233095f, 0.9186031395457998f, 0.9186220822573893f, 0.9186410228580344f,
  0.9186599613476919f, 0.9186788977263181f, 0.9186978319938693f, 0.9187167641503023f,
  0.9187356941955735f, 0.9187546221296393f, 0.9187735479524565f, 0.9187924716639810f,
  0.9188113932641699f, 0.9188303127529797f, 0.9188492301303665f, 0.9188681453962870f,
  0.9188870585506980f, 0.9189059695935557f, 0.9189248785248169f, 0.9189437853444380f,
  0.9189626900523756f, 0.9189815926485861f, 0.9190004931330265f, 0.9190193915056528f,
  0.9190382877664220f, 0.9190571819152905f, 0.9190760739522149f, 0.9190949638771518f,
  0.9191138516900578f, 0.9191327373908894f, 0.9191516209796033f, 0.9191705024561562f,
  0.9191893818205045f, 0.9192082590726049f, 0.9192271342124142f, 0.9192460072398887f,
  0.9192648781549853f, 0.9192837469576605f, 0.9193026136478709f, 0.9193214782255733f,
  0.9193403406907242f, 0.9193592010432805f, 0.9193780592831986f, 0.9193969154104351f,
  0.9194157694249471f, 0.9194346213266907f, 0.9194534711156230f, 0.9194723187917007f,
  0.9194911643548801f, 0.9195100078051182f, 0.9195288491423718f, 0.9195476883665973f,
  0.9195665254777515f, 0.9195853604757913f, 0.9196041933606731f, 0.9196230241323540f,
  0.9196418527907905f, 0.9196606793359393f, 0.9196795037677572f, 0.9196983260862009f,
  0.9197171462912274f, 0.9197359643827930f, 0.9197547803608549f, 0.9197735942253695f,
  0.9197924059762939f, 0.9198112156135846f, 0.9198300231371984f, 0.9198488285470924f,
  0.9198676318432230f, 0.9198864330255470f, 0.9199052320940215f, 0.9199240290486032f,
  0.9199428238892486f, 0.9199616166159150f, 0.9199804072285588f, 0.9199991957271371f,
  0.9200179821116066f, 0.9200367663819240f, 0.9200555485380464f, 0.9200743285799304f,
  0.9200931065075331f, 0.9201118823208112f, 0.9201306560197215f, 0.9201494276042209f,
  0.9201681970742664f, 0.9201869644298146f, 0.9202057296708226f, 0.9202244927972473f,
  0.9202432538090454f, 0.9202620127061738f, 0.9202807694885896f, 0.9202995241562495f,
  0.9203182767091105f, 0.9203370271471295f, 0.9203557754702634f, 0.9203745216784691f,
  0.9203932657717036f, 0.9204120077499236f, 0.9204307476130863f, 0.9204494853611485f,
  0.9204682209940671f, 0.9204869545117992f, 0.9205056859143016f, 0.9205244152015314f,
  0.9205431423734455f, 0.9205618674300008f, 0.9205805903711543f, 0.9205993111968630f,
  0.9206180299070839f, 0.9206367465017740f, 0.9206554609808902f, 0.9206741733443895f,
  0.9206928835922291f, 0.9207115917243658f, 0.9207302977407565f, 0.9207490016413586f,
  0.9207677034261288f, 0.9207864030950241f, 0.9208051006480019f, 0.9208237960850189f,
  0.9208424894060321f, 0.9208611806109988f, 0.9208798696998759f, 0.9208985566726203f,
  0.9209172415291895f, 0.9209359242695401f, 0.9209546048936293f, 0.9209732834014145f,
  0.9209919597928523f, 0.9210106340679001f, 0.9210293062265148f, 0.9210479762686536f,
  0.9210666441942736f, 0.9210853100033318f, 0.9211039736957854f, 0.9211226352715915f,
  0.9211412947307073f, 0.9211599520730896f, 0.9211786072986961f, 0.9211972604074833f,
  0.9212159113994087f, 0.9212345602744294f, 0.9212532070325025f, 0.9212718516735851f,
  0.9212904941976345f, 0.9213091346046077f, 0.9213277728944620f, 0.9213464090671545f,
  0.9213650431226423f, 0.9213836750608828f, 0.9214023048818331f, 0.9214209325854501f,
  0.9214395581716914f, 0.9214581816405141f, 0.9214768029918752f, 0.9214954222257321f,
  0.9215140393420419f, 0.9215326543407619f, 0.9215512672218494f, 0.9215698779852615f,
  0.9215884866309554f, 0.9216070931588886f, 0.9216256975690179f, 0.9216442998613008f,
  0.9216629000356947f, 0.9216814980921567f, 0.9217000940306441f, 0.9217186878511140f,
  0.9217372795535238f, 0.9217558691378309f, 0.9217744566039925f, 0.9217930419519658f,
  0.9218116251817081f, 0.9218302062931768f, 0.9218487852863291f, 0.9218673621611224f,
  0.9218859369175140f, 0.9219045095554610f, 0.9219230800749211f, 0.9219416484758514f,
  0.9219602147582091f, 0.9219787789219519f, 0.9219973409670368f, 0.9220159008934213f,
  0.9220344587010628f, 0.9220530143899185f, 0.9220715679599459f, 0.9220901194111023f,
  0.9221086687433451f, 0.9221272159566317f, 0.9221457610509193f, 0.9221643040261654f,
  0.9221828448823276f, 0.9222013836193630f, 0.9222199202372291f, 0.9222384547358833f,
  0.9222569871152830f, 0.9222755173753856f, 0.9222940455161487f, 0.9223125715375294f,
  0.9223310954394854f, 0.9223496172219739f, 0.9223681368849526f, 0.9223866544283789f,
  0.9224051698522099f, 0.9224236831564034f, 0.9224421943409169f, 0.9224607034057076f,
  0.9224792103507331f, 0.9224977151759510f, 0.9225162178813185f, 0.9225347184667932f,
  0.9225532169323328f, 0.9225717132778944f, 0.9225902075034359f, 0.9226086996089146f,
  0.9226271895942878f, 0.9226456774595134f, 0.9226641632045487f, 0.9226826468293512f,
  0.9227011283338786f, 0.9227196077180883f, 0.9227380849819377f, 0.9227565601253847f,
  0.9227750331483864f, 0.9227935040509007f, 0.9228119728328851f, 0.9228304394942970f,
  0.9228489040350941f, 0.9228673664552339f, 0.9228858267546741f, 0.9229042849333721f,
  0.9229227409912857f, 0.9229411949283722f, 0.9229596467445895f, 0.9229780964398949f,
  0.9229965440142462f, 0.9230149894676011f, 0.9230334327999170f, 0.9230518740111515f,
  0.9230703131012624f, 0.9230887500702073f, 0.9231071849179436f, 0.9231256176444294f,
  0.9231440482496218f, 0.9231624767334788f, 0.9231809030959581f, 0.9231993273370170f,
  0.9232177494566135f, 0.9232361694547052f, 0.9232545873312495f, 0.9232730030862045f,
  0.9232914167195276f, 0.9233098282311766f, 0.9233282376211092f, 0.9233466448892830f,
  0.9233650500356556f, 0.9233834530601851f, 0.9234018539628288f, 0.9234202527435447f,
  0.9234386494022904f, 0.9234570439390235f, 0.9234754363537019f, 0.9234938266462834f,
  0.9235122148167255f, 0.9235306008649862f, 0.9235489847910231f, 0.9235673665947940f,
  0.9235857462762566f, 0.9236041238353688f, 0.9236224992720882f, 0.9236408725863727f,
  0.9236592437781800f, 0.9236776128474679f, 0.9236959797941943f, 0.9237143446183167f,
  0.9237327073197932f, 0.9237510678985815f, 0.9237694263546394f, 0.9237877826879248f,
  0.9238061368983954f, 0.9238244889860091f, 0.9238428389507236f, 0.9238611867924970f,
  0.9238795325112867f, 0.9238978761070510f, 0.9239162175797475f, 0.9239345569293341f,
  0.9239528941557686f, 0.9239712292590091f, 0.9239895622390131f, 0.9240078930957388f,
  0.9240262218291438f, 0.9240445484391863f, 0.9240628729258239f, 0.9240811952890146f,
  0.9240995155287163f, 0.9241178336448869f, 0.9241361496374842f, 0.9241544635064664f,
  0.9241727752517912f, 0.9241910848734164f, 0.9242093923713002f, 0.9242276977454004f,
  0.9242460009956749f, 0.9242643021220817f, 0.9242826011245787f, 0.9243008980031239f,
  0.9243191927576753f, 0.9243374853881906f, 0.9243557758946280f, 0.9243740642769456f,
  0.9243923505351010f, 0.9244106346690525f, 0.9244289166787579f, 0.9244471965641753f,
  0.9244654743252626f, 0.9244837499619779f, 0.9245020234742791f, 0.9245202948621242f,
  0.9245385641254714f, 0.9245568312642785f, 0.9245750962785036f, 0.9245933591681048f,
  0.9246116199330400f, 0.9246298785732674f, 0.9246481350887449f, 0.9246663894794305f,
  0.9246846417452825f, 0.9247028918862586f, 0.9247211399023173f, 0.9247393857934164f,
  0.9247576295595139f, 0.9247758712005680f, 0.9247941107165368f, 0.9248123481073784f,
  0.9248305833730508f, 0.9248488165135123f, 0.9248670475287205f, 0.9248852764186341f,
  0.9249035031832109f, 0.9249217278224091f, 0.9249399503361868f, 0.9249581707245020f,
  0.9249763889873130f, 0.9249946051245781f, 0.9250128191362550f, 0.9250310310223021f,
  0.9250492407826776f, 0.9250674484173396f, 0.9250856539262461f, 0.9251038573093555f,
  0.9251220585666258f, 0.9251402576980153f, 0.9251584547034821f, 0.9251766495829845f,
  0.9251948423364804f, 0.9252130329639284f, 0.9252312214652865f, 0.9252494078405128f,
  0.9252675920895655f, 0.9252857742124031f, 0.9253039542089836f, 0.9253221320792653f,
  0.9253403078232062f, 0.9253584814407649f, 0.9253766529318994f, 0.9253948222965680f,
  0.9254129895347291f, 0.9254311546463405f, 0.9254493176313610f, 0.9254674784897485f,
  0.9254856372214615f, 0.9255037938264581f, 0.9255219483046967f, 0.9255401006561353f,
  0.9255582508807327f, 0.9255763989784468f, 0.9255945449492359f, 0.9256126887930585f,
  0.9256308305098727f, 0.9256489700996370f, 0.9256671075623097f, 0.9256852428978489f,
  0.9257033761062131f, 0.9257215071873608f, 0.9257396361412500f, 0.9257577629678392f,
  0.9257758876670867f, 0.9257940102389509f, 0.9258121306833902f, 0.9258302490003628f,
  0.9258483651898273f, 0.9258664792517418f, 0.9258845911860648f, 0.9259027009927547f,
  0.9259208086717701f, 0.9259389142230688f, 0.9259570176466098f, 0.9259751189423512f,
  0.9259932181102515f, 0.9260113151502689f, 0.9260294100623622f, 0.9260475028464895f,
  0.9260655935026093f, 0.9260836820306801f, 0.9261017684306603f, 0.9261198527025082f,
  0.9261379348461826f, 0.9261560148616415f, 0.9261740927488438f, 0.9261921685077474f,
  0.9262102421383113f, 0.9262283136404938f, 0.9262463830142532f, 0.9262644502595482f,
  0.9262825153763372f, 0.9263005783645787f, 0.9263186392242311f, 0.9263366979552530f,
  0.9263547545576029f, 0.9263728090312391f, 0.9263908613761205f, 0.9264089115922053f,
  0.9264269596794521f, 0.9264450056378196f, 0.9264630494672661f, 0.9264810911677501f,
  0.9264991307392305f, 0.9265171681816655f, 0.9265352034950138f, 0.9265532366792338f,
  0.9265712677342842f, 0.9265892966601237f, 0.9266073234567106f, 0.9266253481240035f,
  0.9266433706619612f, 0.9266613910705421f, 0.9266794093497048f, 0.9266974254994081f,
  0.9267154395196103f, 0.9267334514102702f, 0.9267514611713463f, 0.9267694688027973f,
  0.9267874743045817f, 0.9268054776766584f, 0.9268234789189858f, 0.9268414780315225f,
  0.9268594750142272f, 0.9268774698670585f, 0.9268954625899752f, 0.9269134531829358f,
  0.9269314416458991f, 0.9269494279788237f, 0.9269674121816681f, 0.9269853942543912f,
  0.9270033741969517f, 0.9270213520093081f, 0.9270393276914192f, 0.9270573012432436f,
  0.9270752726647401f, 0.9270932419558673f, 0.9271112091165842f, 0.9271291741468490f,
  0.9271471370466209f, 0.9271650978158583f, 0.9271830564545201f, 0.9272010129625651f,
  0.9272189673399518f, 0.9272369195866390f, 0.9272548697025856f, 0.9272728176877503f,
  0.9272907635420917f, 0.9273087072655688f, 0.9273266488581402f, 0.9273445883197646f,
  0.9273625256504011f, 0.9273804608500081f, 0.9273983939185446f, 0.9274163248559695f,
  0.9274342536622413f, 0.9274521803373190f, 0.9274701048811613f, 0.9274880272937270f,
  0.9275059475749752f, 0.9275238657248643f, 0.9275417817433534f, 0.9275596956304013f,
  0.9275776073859667f, 0.9275955170100085f, 0.9276134245024857f, 0.9276313298633569f,
  0.9276492330925812f, 0.9276671341901173f, 0.9276850331559240f, 0.9277029299899603f,
  0.9277208246921852f, 0.9277387172625572f, 0.9277566077010356f, 0.9277744960075790f,
  0.9277923821821463f, 0.9278102662246966f, 0.9278281481351887f, 0.9278460279135814f,
  0.9278639055598338f, 0.9278817810739047f, 0.9278996544557531f, 0.9279175257053378f,
  0.9279353948226179f, 0.9279532618075521f, 0.9279711266600996f, 0.9279889893802192f,
  0.9280068499678700f, 0.9280247084230108f, 0.9280425647456005f, 0.9280604189355983f,
  0.9280782709929631f, 0.9280961209176537f, 0.9281139687096294f, 0.9281318143688487f,
  0.9281496578952712f, 0.9281674992888554f, 0.9281853385495605f, 0.9282031756773454f,
  0.9282210106721694f, 0.9282388435339913f, 0.9282566742627700f, 0.9282745028584649f,
  0.9282923293210346f, 0.9283101536504383f, 0.9283279758466353f, 0.9283457959095842f,
  0.9283636138392444f, 0.9283814296355748f, 0.9283992432985345f, 0.9284170548280826f,
  0.9284348642241780f, 0.9284526714867799f, 0.9284704766158475f, 0.9284882796113396f,
  0.9285060804732155f, 0.9285238792014344f, 0.9285416757959550f, 0.9285594702567368f,
  0.9285772625837388f, 0.9285950527769200f, 0.9286128408362396f, 0.9286306267616568f,
  0.9286484105531305f, 0.9286661922106200f, 0.9286839717340846f, 0.9287017491234830f,
  0.9287195243787748f, 0.9287372974999188f, 0.9287550684868745f, 0.9287728373396008f,
  0.9287906040580570f, 0.9288083686422022f, 0.9288261310919956f, 0.9288438914073963f,
  0.9288616495883637f, 0.9288794056348568f, 0.9288971595468349f, 0.9289149113242571f,
  0.9289326609670828f, 0.9289504084752710f, 0.9289681538487810f, 0.9289858970875721f,
  0.9290036381916034f, 0.9290213771608342f, 0.9290391139952237f, 0.9290568486947310f,
  0.9290745812593159f, 0.9290923116889369f, 0.9291100399835538f, 0.9291277661431256f,
  0.9291454901676117f, 0.9291632120569713f, 0.9291809318111638f, 0.9291986494301482f,
  0.9292163649138839f, 0.9292340782623305f, 0.9292517894754470f, 0.9292694985531925f,
  0.9292872054955268f, 0.9293049103024089f, 0.9293226129737983f, 0.9293403135096540f,
  0.9293580119099355f, 0.9293757081746024f, 0.9293934023036136f, 0.9294110942969286f,
  0.9294287841545068f, 0.9294464718763076f, 0.9294641574622902f, 0.9294818409124140f,
  0.9294995222266386f, 0.9295172014049229f, 0.9295348784472268f, 0.9295525533535093f,
  0.9295702261237299f, 0.9295878967578480f, 0.9296055652558229f, 0.9296232316176143f,
  0.9296408958431813f, 0.9296585579324833f, 0.9296762178854799f, 0.9296938757021305f,
  0.9297115313823944f, 0.9297291849262310f, 0.9297468363335999f, 0.9297644856044605f,
  0.9297821327387722f, 0.9297997777364944f, 0.9298174205975865f, 0.9298350613220082f,
  0.9298526999097187f, 0.9298703363606776f, 0.9298879706748445f, 0.9299056028521786f,
  0.9299232328926396f, 0.9299408607961869f, 0.9299584865627800f, 0.9299761101923784f,
  0.9299937316849415f, 0.9300113510404290f, 0.9300289682588003f, 0.9300465833400149f,
  0.9300641962840324f, 0.9300818070908122f, 0.9300994157603140f, 0.9301170222924972f,
  0.9301346266873214f, 0.9301522289447461f, 0.9301698290647309f, 0.9301874270472354f,
  0.9302050228922191f, 0.9302226165996414f, 0.9302402081694623f, 0.9302577976016410f,
  0.9302753848961371f, 0.9302929700529103f, 0.9303105530719202f, 0.9303281339531265f,
  0.9303457126964885f, 0.9303632893019660f, 0.9303808637695187f, 0.9303984360991059f,
  0.9304160062906875f, 0.9304335743442231f, 0.9304511402596722f, 0.9304687040369946f,
  0.9304862656761498f, 0.9305038251770974f, 0.9305213825397971f, 0.9305389377642087f,
  0.9305564908502918f, 0.9305740417980060f, 0.9305915906073108f, 0.9306091372781662f,
  0.9306266818105318f, 0.9306442242043671f, 0.9306617644596319f, 0.9306793025762859f,
  0.9306968385542889f, 0.9307143723936003f, 0.9307319040941803f, 0.9307494336559881f,
  0.9307669610789837f, 0.9307844863631268f, 0.9308020095083771f, 0.9308195305146942f,
  0.9308370493820382f, 0.9308545661103683f, 0.9308720806996448f, 0.9308895931498271f,
  0.9309071034608750f, 0.9309246116327485f, 0.9309421176654071f, 0.9309596215588106f,
  0.9309771233129189f, 0.9309946229276918f, 0.9310121204030889f, 0.9310296157390702f,
  0.9310471089355952f, 0.9310645999926240f, 0.9310820889101165f, 0.9310995756880320f,
  0.9311170603263308f, 0.9311345428249725f, 0.9311520231839171f, 0.9311695014031243f,
  0.9311869774825537f, 0.9312044514221656f, 0.9312219232219197f, 0.9312393928817756f,
  0.9312568604016934f, 0.9312743257816330f, 0.9312917890215541f, 0.9313092501214166f,
  0.9313267090811804f, 0.9313441659008055f, 0.9313616205802515f, 0.9313790731194787f,
  0.9313965235184466f, 0.9314139717771153f, 0.9314314178954447f, 0.9314488618733947f,
  0.9314663037109251f, 0.9314837434079960f, 0.9315011809645671f, 0.9315186163805986f,
  0.9315360496560503f, 0.9315534807908821f, 0.9315709097850541f, 0.9315883366385259f,
  0.9316057613512578f, 0.9316231839232098f, 0.9316406043543415f, 0.9316580226446131f,
  0.9316754387939846f, 0.9316928528024159f, 0.9317102646698669f, 0.9317276743962980f,
  0.9317450819816687f, 0.9317624874259393f, 0.9317798907290696f, 0.9317972918910197f,
  0.9318146909117497f, 0.9318320877912195f, 0.9318494825293890f, 0.9318668751262187f,
  0.9318842655816681f, 0.9319016538956975f, 0.9319190400682670f, 0.9319364240993364f,
  0.9319538059888659f, 0.9319711857368157f, 0.9319885633431456f, 0.9320059388078158f,
  0.9320233121307865f, 0.9320406833120175f, 0.9320580523514690f, 0.9320754192491012f,
  0.9320927840048741f, 0.9321101466187477f, 0.9321275070906823f, 0.9321448654206377f,
  0.9321622216085744f, 0.9321795756544523f, 0.9321969275582315f, 0.9322142773198723f,
  0.9322316249393345f, 0.9322489704165786f, 0.9322663137515647f, 0.9322836549442526f,
  0.9323009939946026f, 0.9323183309025752f, 0.9323356656681302f, 0.9323529982912279f,
  0.9323703287718285f, 0.9323876571098919f, 0.9324049833053787f, 0.9324223073582487f,
  0.9324396292684624f, 0.9324569490359799f, 0.9324742666607612f, 0.9324915821427667f,
  0.9325088954819567f, 0.9325262066782911f, 0.9325435157317304f, 0.9325608226422348f,
  0.9325781274097644f, 0.9325954300342796f, 0.9326127305157405f, 0.9326300288541073f,
  0.9326473250493403f, 0.9326646191014000f, 0.9326819110102462f, 0.9326992007758397f,
  0.9327164883981403f, 0.9327337738771084f, 0.9327510572127045f, 0.9327683384048885f,
  0.9327856174536210f, 0.9328028943588623f, 0.9328201691205725f, 0.9328374417387120f,
  0.9328547122132412f, 0.9328719805441202f, 0.9328892467313095f, 0.9329065107747694f,
  0.9329237726744601f, 0.9329410324303421f, 0.9329582900423757f, 0.9329755455105212f,
  0.9329927988347388f, 0.9330100500149893f, 0.9330272990512325f, 0.9330445459434291f,
  0.9330617906915394f, 0.9330790332955238f, 0.9330962737553427f, 0.9331135120709563f,
  0.9331307482423251f, 0.9331479822694096f, 0.9331652141521701f, 0.9331824438905670f,
  0.9331996714845607f, 0.9332168969341117f, 0.9332341202391802f, 0.9332513413997269f,
  0.9332685604157120f, 0.9332857772870961f, 0.9333029920138395f, 0.9333202045959027f,
  0.9333374150332462f, 0.9333546233258303f, 0.9333718294736156f, 0.9333890334765625f,
  0.9334062353346315f, 0.9334234350477831f, 0.9334406326159778f, 0.9334578280391759f,
  0.9334750213173379f, 0.9334922124504246f, 0.9335094014383961f, 0.9335265882812132f,
  0.9335437729788362f, 0.9335609555312258f, 0.9335781359383423f, 0.9335953142001464f,
  0.9336124903165985f, 0.9336296642876593f, 0.9336468361132891f, 0.9336640057934487f,
  0.9336811733280984f, 0.9336983387171989f, 0.9337155019607107f, 0.9337326630585945f,
  0.9337498220108106f, 0.9337669788173196f, 0.9337841334780824f, 0.9338012859930593f,
  0.9338184363622110f, 0.9338355845854980f, 0.9338527306628808f, 0.9338698745943202f,
  0.9338870163797769f, 0.9339041560192112f, 0.9339212935125839f, 0.9339384288598555f,
  0.9339555620609867f, 0.9339726931159382f, 0.9339898220246706f, 0.9340069487871444f,
  0.9340240734033205f, 0.9340411958731593f, 0.9340583161966214f, 0.9340754343736678f,
  0.9340925504042589f, 0.9341096642883554f, 0.9341267760259181f, 0.9341438856169075f,
  0.9341609930612844f, 0.9341780983590096f, 0.9341952015100435f, 0.9342123025143471f,
  0.9342294013718808f, 0.9342464980826054f, 0.9342635926464818f, 0.9342806850634706f,
  0.9342977753335325f, 0.9343148634566283f, 0.9343319494327186f, 0.9343490332617641f,
  0.9343661149437259f, 0.9343831944785643f, 0.9344002718662403f, 0.9344173471067146f,
  0.9344344201999480f, 0.9344514911459013f, 0.9344685599445351f, 0.9344856265958105f,
  0.9345026910996879f, 0.9345197534561283f, 0.9345368136650923f, 0.9345538717265410f,
  0.9345709276404350f, 0.9345879814067352f, 0.9346050330254023f, 0.9346220824963972f,
  0.9346391298196808f, 0.9346561749952137f, 0.9346732180229569f, 0.9346902589028712f,
  0.9347072976349174f, 0.9347243342190564f, 0.9347413686552490f, 0.9347584009434562f,
  0.9347754310836387f, 0.9347924590757574f, 0.9348094849197732f, 0.9348265086156469f,
  0.9348435301633395f, 0.9348605495628118f, 0.9348775668140248f, 0.9348945819169392f,
  0.9349115948715161f, 0.9349286056777162f, 0.9349456143355006f, 0.9349626208448302f,
  0.9349796252056658f, 0.9349966274179684f, 0.9350136274816989f, 0.9350306253968182f,
  0.9350476211632874f, 0.9350646147810673f, 0.9350816062501188f, 0.9350985955704031f,
  0.9351155827418809f, 0.9351325677645134f, 0.9351495506382612f, 0.9351665313630856f,
  0.9351835099389476f, 0.9352004863658080f, 0.9352174606436278f, 0.9352344327723682f,
  0.9352514027519898f, 0.9352683705824540f, 0.9352853362637218f, 0.9353022997957539f,
  0.9353192611785115f, 0.9353362204119557f, 0.9353531774960475f, 0.9353701324307477f,
  0.9353870852160178f, 0.9354040358518183f, 0.9354209843381107f, 0.9354379306748558f,
  0.9354548748620146f, 0.9354718168995485f, 0.9354887567874183f, 0.9355056945255850f,
  0.9355226301140099f, 0.9355395635526540f, 0.9355564948414784f, 0.9355734239804442f,
  0.9355903509695124f, 0.9356072758086441f, 0.9356241984978007f, 0.9356411190369428f,
  0.9356580374260320f, 0.9356749536650293f, 0.9356918677538956f, 0.9357087796925923f,
  0.9357256894810804f, 0.9357425971193210f, 0.9357595026072754f, 0.9357764059449046f,
  0.9357933071321699f, 0.9358102061690324f, 0.9358271030554532f, 0.9358439977913935f,
  0.9358608903768146f, 0.9358777808116776f, 0.9358946690959435f, 0.9359115552295739f,
  0.9359284392125297f, 0.9359453210447720f, 0.9359622007262623f, 0.9359790782569617f,
  0.9359959536368313f, 0.9360128268658325f, 0.9360296979439264f, 0.9360465668710745f,
  0.9360634336472375f, 0.9360802982723770f, 0.9360971607464543f, 0.9361140210694305f,
  0.9361308792412669f, 0.9361477352619250f, 0.9361645891313656f, 0.9361814408495501f,
  0.9361982904164401f, 0.9362151378319965f, 0.9362319830961808f, 0.9362488262089543f,
  0.9362656671702783f, 0.9362825059801139f, 0.9362993426384225f, 0.9363161771451656f,
  0.9363330095003043f, 0.9363498397037999f, 0.9363666677556138f, 0.9363834936557075f,
  0.9364003174040421f, 0.9364171390005789f, 0.9364339584452794f, 0.9364507757381050f,
  0.9364675908790169f, 0.9364844038679766f, 0.9365012147049453f, 0.9365180233898844f,
  0.9365348299227555f, 0.9365516343035197f, 0.9365684365321385f, 0.9365852366085734f,
  0.9366020345327856f, 0.9366188303047366f, 0.9366356239243877f, 0.9366524153917004f,
  0.9366692047066362f, 0.9366859918691562f, 0.9367027768792223f, 0.9367195597367957f,
  0.9367363404418376f, 0.9367531189943097f, 0.9367698953941735f, 0.9367866696413903f,
  0.9368034417359216f, 0.9368202116777289f, 0.9368369794667735f, 0.9368537451030170f,
  0.9368705085864210f, 0.9368872699169467f, 0.9369040290945558f, 0.9369207861192097f,
  0.9369375409908699f, 0.9369542937094979f, 0.9369710442750552f, 0.9369877926875032f,
  0.9370045389468037f, 0.9370212830529180f, 0.9370380250058076f, 0.9370547648054341f,
  0.9370715024517592f, 0.9370882379447441f, 0.9371049712843506f, 0.9371217024705401f,
  0.9371384315032741f, 0.9371551583825144f, 0.9371718831082224f, 0.9371886056803598f,
  0.9372053260988880f, 0.9372220443637685f, 0.9372387604749632f, 0.9372554744324334f,
  0.9372721862361409f, 0.9372888958860472f, 0.9373056033821139f, 0.9373223087243026f,
  0.9373390119125750f, 0.9373557129468925f, 0.9373724118272169f, 0.9373891085535099f,
  0.9374058031257329f, 0.9374224955438477f, 0.9374391858078159f, 0.9374558739175992f,
  0.9374725598731593f, 0.9374892436744575f, 0.9375059253214558f, 0.9375226048141159f,
  0.9375392821523992f, 0.9375559573362676f, 0.9375726303656828f, 0.9375893012406064f,
  0.9376059699610000f, 0.9376226365268254f, 0.9376393009380444f, 0.9376559631946184f,
  0.9376726232965095f, 0.9376892812436790f, 0.9377059370360890f, 0.9377225906737011f,
  0.9377392421564770f, 0.9377558914843783f, 0.9377725386573670f, 0.9377891836754046f,
  0.9378058265384531f, 0.9378224672464741f, 0.9378391057994293f, 0.9378557421972807f,
  0.9378723764399899f, 0.9378890085275186f, 0.9379056384598288f, 0.9379222662368820f,
  0.9379388918586402f, 0.9379555153250653f, 0.9379721366361189f, 0.9379887557917628f,
  0.9380053727919588f, 0.9380219876366689f, 0.9380386003258547f, 0.9380552108594783f,
  0.9380718192375012f, 0.9380884254598855f, 0.9381050295265928f, 0.9381216314375852f,
  0.9381382311928244f, 0.9381548287922722f, 0.9381714242358906f, 0.9381880175236414f,
  0.9382046086554865f, 0.9382211976313877f, 0.9382377844513070f, 0.9382543691152061f,
  0.9382709516230471f, 0.9382875319747919f, 0.9383041101704021f, 0.9383206862098398f,
  0.9383372600930669f, 0.9383538318200455f, 0.9383704013907372f, 0.9383869688051041f,
  0.9384035340631081f, 0.9384200971647112f, 0.9384366581098751f, 0.9384532168985620f,
  0.9384697735307338f, 0.9384863280063523f, 0.9385028803253797f, 0.9385194304877779f,
  0.9385359784935086f, 0.9385525243425340f, 0.9385690680348162f, 0.9385856095703170f,
  0.9386021489489983f, 0.9386186861708224f, 0.9386352212357510f, 0.9386517541437464f,
  0.9386682848947702f, 0.9386848134887847f, 0.9387013399257520f, 0.9387178642056339f,
  0.9387343863283925f, 0.9387509062939898f, 0.9387674241023879f, 0.9387839397535489f,
  0.9388004532474348f, 0.9388169645840075f, 0.9388334737632292f, 0.9388499807850621f,
  0.9388664856494681f, 0.9388829883564092f, 0.9388994889058476f, 0.9389159872977453f,
  0.9389324835320646f, 0.9389489776087673f, 0.9389654695278156f, 0.9389819592891717f,
  0.9389984468927975f, 0.9390149323386554f, 0.9390314156267074f, 0.9390478967569155f,
  0.9390643757292420f, 0.9390808525436489f, 0.9390973272000983f, 0.9391137996985525f,
  0.9391302700389736f, 0.9391467382213238f, 0.9391632042455650f, 0.9391796681116598f,
  0.9391961298195699f, 0.9392125893692577f, 0.9392290467606854f, 0.9392455019938152f,
  0.9392619550686092f, 0.9392784059850297f, 0.9392948547430386f, 0.9393113013425985f,
  0.9393277457836714f, 0.9393441880662194f, 0.9393606281902052f, 0.9393770661555904f,
  0.9393935019623375f, 0.9394099356104089f, 0.9394263670997665f, 0.9394427964303728f,
  0.9394592236021899f, 0.9394756486151802f, 0.9394920714693058f, 0.9395084921645290f,
  0.9395249107008121f, 0.9395413270781175f, 0.9395577412964072f, 0.9395741533556436f,
  0.9395905632557893f, 0.9396069709968060f, 0.9396233765786564f, 0.9396397800013027f,
  0.9396561812647071f, 0.9396725803688321f, 0.9396889773136400f, 0.9397053720990929f,
  0.9397217647251533f, 0.9397381551917836f, 0.9397545434989459f, 0.9397709296466028f,
  0.9397873136347166f, 0.9398036954632494f, 0.9398200751321638f, 0.9398364526414221f,
  0.9398528279909867f, 0.9398692011808200f, 0.9398855722108841f, 0.9399019410811417f,
  0.9399183077915551f, 0.9399346723420865f, 0.9399510347326986f, 0.9399673949633536f,
  0.9399837530340139f, 0.9400001089446421f, 0.9400164626952004f, 0.9400328142856514f,
  0.9400491637159574f, 0.9400655109860808f, 0.9400818560959842f, 0.9400981990456299f,
  0.9401145398349803f, 0.9401308784639979f, 0.9401472149326453f, 0.9401635492408847f,
  0.9401798813886788f, 0.9401962113759901f, 0.9402125392027808f, 0.9402288648690136f,
  0.9402451883746509f, 0.9402615097196552f, 0.9402778289039889f, 0.9402941459276147f,
  0.9403104607904951f, 0.9403267734925923f, 0.9403430840338692f, 0.9403593924142881f,
  0.9403756986338115f, 0.9403920026924021f, 0.9404083045900222f, 0.9404246043266347f,
  0.9404409019022018f, 0.9404571973166861f, 0.9404734905700503f, 0.9404897816622568f,
  0.9405060705932683f, 0.9405223573630473f, 0.9405386419715565f, 0.9405549244187582f,
  0.9405712047046152f, 0.9405874828290900f, 0.9406037587921453f, 0.9406200325937436f,
  0.9406363042338476f, 0.9406525737124197f, 0.9406688410294228f, 0.9406851061848193f,
  0.9407013691785719f, 0.9407176300106433f, 0.9407338886809959f, 0.9407501451895928f,
  0.9407663995363961f, 0.9407826517213687f, 0.9407989017444733f, 0.9408151496056725f,
  0.9408313953049289f, 0.9408476388422053f, 0.9408638802174643f, 0.9408801194306685f,
  0.9408963564817808f, 0.9409125913707637f, 0.9409288240975799f, 0.9409450546621922f,
  0.9409612830645633f, 0.9409775093046558f, 0.9409937333824325f, 0.9410099552978560f,
  0.9410261750508893f, 0.9410423926414948f, 0.9410586080696354f, 0.9410748213352739f,
  0.9410910324383728f, 0.9411072413788950f, 0.9411234481568034f, 0.9411396527720605f,
  0.9411558552246292f, 0.9411720555144722f, 0.9411882536415523f, 0.9412044496058324f,
  0.9412206434072752f, 0.9412368350458433f, 0.9412530245214998f, 0.9412692118342073f,
  0.9412853969839287f, 0.9413015799706267f, 0.9413177607942642f, 0.9413339394548039f,
  0.9413501159522090f, 0.9413662902864417f, 0.9413824624574654f, 0.9413986324652426f,
  0.9414148003097362f, 0.9414309659909093f, 0.9414471295087244f, 0.9414632908631445f,
  0.9414794500541326f, 0.9414956070816514f, 0.9415117619456637f, 0.9415279146461326f,
  0.9415440651830208f, 0.9415602135562913f, 0.9415763597659069f, 0.9415925038118306f,
  0.9416086456940251f, 0.9416247854124536f, 0.9416409229670789f, 0.9416570583578638f,
  0.9416731915847714f, 0.9416893226477644f, 0.9417054515468060f, 0.9417215782818589f,
  0.9417377028528862f, 0.9417538252598507f, 0.9417699455027155f, 0.9417860635814435f,
  0.9418021794959976f, 0.9418182932463409f, 0.9418344048324363f, 0.9418505142542468f,
  0.9418666215117353f, 0.9418827266048647f, 0.9418988295335984f, 0.9419149302978990f,
  0.9419310288977295f, 0.9419471253330532f, 0.9419632196038329f, 0.9419793117100317f,
  0.9419954016516126f, 0.9420114894285385f, 0.9420275750407725f, 0.9420436584882779f,
  0.9420597397710173f, 0.9420758188889541f, 0.9420918958420512f, 0.9421079706302716f,
  0.9421240432535786f, 0.9421401137119348f, 0.9421561820053038f, 0.9421722481336484f,
  0.9421883120969318f, 0.9422043738951168f, 0.9422204335281670f, 0.9422364909960449f,
  0.9422525462987140f, 0.9422685994361374f, 0.9422846504082780f, 0.9423006992150991f,
  0.9423167458565638f, 0.9423327903326351f, 0.9423488326432762f, 0.9423648727884503f,
  0.9423809107681205f, 0.9423969465822498f, 0.9424129802308016f, 0.9424290117137388f,
  0.9424450410310249f, 0.9424610681826228f, 0.9424770931684956f, 0.9424931159886067f,
  0.9425091366429192f, 0.9425251551313962f, 0.9425411714540012f, 0.9425571856106969f,
  0.9425731976014469f, 0.9425892074262142f, 0.9426052150849621f, 0.9426212205776537f,
  0.9426372239042525f, 0.9426532250647214f, 0.9426692240590239f, 0.9426852208871229f,
  0.9427012155489819f, 0.9427172080445642f, 0.9427331983738328f, 0.9427491865367512f,
  0.9427651725332825f, 0.9427811563633901f, 0.9427971380270370f, 0.9428131175241868f,
  0.9428290948548027f, 0.9428450700188478f, 0.9428610430162856f, 0.9428770138470793f,
  0.9428929825111921f, 0.9429089490085876f, 0.9429249133392288f, 0.9429408755030793f,
  0.9429568355001021f, 0.9429727933302607f, 0.9429887489935185f, 0.9430047024898387f,
  0.9430206538191847f, 0.9430366029815198f, 0.9430525499768073f, 0.9430684948050108f,
  0.9430844374660935f, 0.9431003779600187f, 0.9431163162867497f, 0.9431322524462503f,
  0.9431481864384834f, 0.9431641182634126f, 0.9431800479210013f, 0.9431959754112128f,
  0.9432119007340106f, 0.9432278238893581f, 0.9432437448772186f, 0.9432596636975557f,
  0.9432755803503325f, 0.9432914948355127f, 0.9433074071530597f, 0.9433233173029369f,
  0.9433392252851077f, 0.9433551310995356f, 0.9433710347461840f, 0.9433869362250163f,
  0.9434028355359962f, 0.9434187326790869f, 0.9434346276542520f, 0.9434505204614551f,
  0.9434664111006593f, 0.9434822995718284f, 0.9434981858749258f, 0.9435140700099149f,
  0.9435299519767595f, 0.9435458317754227f, 0.9435617094058683f, 0.9435775848680596f,
  0.9435934581619604f, 0.9436093292875339f, 0.9436251982447439f, 0.9436410650335538f,
  0.9436569296539271f, 0.9436727921058276f, 0.9436886523892185f, 0.9437045105040635f,
  0.9437203664503262f, 0.9437362202279701f, 0.9437520718369589f, 0.9437679212772561f,
  0.9437837685488251f, 0.9437996136516298f, 0.9438154565856335f, 0.9438312973507998f,
  0.9438471359470927f, 0.9438629723744754f, 0.9438788066329116f, 0.9438946387223650f,
  0.9439104686427991f, 0.9439262963941777f, 0.9439421219764643f, 0.9439579453896225f,
  0.9439737666336160f, 0.9439895857084084f, 0.9440054026139634f, 0.9440212173502446f,
  0.9440370299172158f, 0.9440528403148405f, 0.9440686485430825f, 0.9440844546019053f,
  0.9441002584912727f, 0.9441160602111484f, 0.9441318597614959f, 0.9441476571422792f,
  0.9441634523534618f, 0.9441792453950074f, 0.9441950362668798f, 0.9442108249690427f,
  0.9442266115014598f, 0.9442423958640948f, 0.9442581780569114f, 0.9442739580798734f,
  0.9442897359329444f, 0.9443055116160883f, 0.9443212851292688f, 0.9443370564724498f,
  0.9443528256455948f, 0.9443685926486677f, 0.9443843574816322f, 0.9444001201444521f,
  0.9444158806370913f, 0.9444316389595134f, 0.9444473951116823f, 0.9444631490935617f,
  0.9444789009051155f, 0.9444946505463074f, 0.9445103980171013f, 0.9445261433174611f,
  0.9445418864473504f, 0.9445576274067331f, 0.9445733661955732f, 0.9445891028138342f,
  0.9446048372614803f, 0.9446205695384751f, 0.9446362996447824f, 0.9446520275803663f,
  0.9446677533451905f, 0.9446834769392188f, 0.9446991983624152f, 0.9447149176147436f,
  0.9447306346961678f, 0.9447463496066517f, 0.9447620623461591f, 0.9447777729146539f,
  0.9447934813121003f, 0.9448091875384618f, 0.9448248915937025f, 0.9448405934777864f,
  0.9448562931906772f, 0.9448719907323390f, 0.9448876861027357f, 0.9449033793018310f,
  0.9449190703295892f, 0.9449347591859740f, 0.9449504458709495f, 0.9449661303844796f,
  0.9449818127265281f, 0.9449974928970591f, 0.9450131708960368f, 0.9450288467234247f,
  0.9450445203791871f, 0.9450601918632879f, 0.9450758611756911f, 0.9450915283163606f,
  0.9451071932852606f, 0.9451228560823549f, 0.9451385167076075f, 0.9451541751609827f,
  0.9451698314424442f, 0.9451854855519561f, 0.9452011374894825f, 0.9452167872549875f,
  0.9452324348484350f, 0.9452480802697890f, 0.9452637235190137f, 0.9452793645960731f,
  0.9452950035009311f, 0.9453106402335520f, 0.9453262747938999f, 0.9453419071819386f,
  0.9453575373976323f, 0.9453731654409451f, 0.9453887913118411f, 0.9454044150102844f,
  0.9454200365362391f, 0.9454356558896693f, 0.9454512730705391f, 0.9454668880788125f,
  0.9454825009144537f, 0.9454981115774270f, 0.9455137200676963f, 0.9455293263852258f,
  0.9455449305299797f, 0.9455605325019220f, 0.9455761323010169f, 0.9455917299272286f,
  0.9456073253805213f, 0.9456229186608590f, 0.9456385097682062f, 0.9456540987025266f,
  0.9456696854637847f, 0.9456852700519447f, 0.9457008524669706f, 0.9457164327088267f,
  0.9457320107774772f, 0.9457475866728862f, 0.9457631603950181f, 0.9457787319438369f,
  0.9457943013193069f, 0.9458098685213925f, 0.9458254335500575f, 0.9458409964052666f,
  0.9458565570869839f, 0.9458721155951735f, 0.9458876719297997f, 0.9459032260908269f,
  0.9459187780782191f, 0.9459343278919407f, 0.9459498755319561f, 0.9459654209982293f,
  0.9459809642907249f, 0.9459965054094067f, 0.9460120443542395f, 0.9460275811251874f,
  0.9460431157222146f, 0.9460586481452855f, 0.9460741783943645f, 0.9460897064694156f,
  0.9461052323704033f, 0.9461207560972922f, 0.9461362776500462f, 0.9461517970286297f,
  0.9461673142330074f, 0.9461828292631431f, 0.9461983421190016f, 0.9462138528005470f,
  0.9462293613077438f, 0.9462448676405564f, 0.9462603717989488f, 0.9462758737828858f,
  0.9462913735923316f, 0.9463068712272505f, 0.9463223666876071f, 0.9463378599733657f,
  0.9463533510844906f, 0.9463688400209462f, 0.9463843267826971f, 0.9463998113697076f,
  0.9464152937819421f, 0.9464307740193650f, 0.9464462520819408f, 0.9464617279696338f,
  0.9464772016824087f, 0.9464926732202297f, 0.9465081425830613f, 0.9465236097708679f,
  0.9465390747836141f, 0.9465545376212644f, 0.9465699982837830f, 0.9465854567711346f,
  0.9466009130832836f, 0.9466163672201945f, 0.9466318191818317f, 0.9466472689681599f,
  0.9466627165791434f, 0.9466781620147467f, 0.9466936052749345f, 0.9467090463596711f,
  0.9467244852689212f, 0.9467399220026492f, 0.9467553565608197f, 0.9467707889433971f,
  0.9467862191503460f, 0.9468016471816311f, 0.9468170730372167f, 0.9468324967170675f,
  0.9468479182211480f, 0.9468633375494229f, 0.9468787547018566f, 0.9468941696784136f,
  0.9469095824790588f, 0.9469249931037564f, 0.9469404015524713f, 0.9469558078251680f,
  0.9469712119218109f, 0.9469866138423648f, 0.9470020135867944f, 0.9470174111550641f,
  0.9470328065471386f, 0.9470481997629826f, 0.9470635908025605f, 0.9470789796658372f,
  0.9470943663527772f, 0.9471097508633451f, 0.9471251331975058f, 0.9471405133552235f,
  0.9471558913364633f, 0.9471712671411897f, 0.9471866407693672f, 0.9472020122209607f,
  0.9472173814959348f, 0.9472327485942542f, 0.9472481135158834f, 0.9472634762607876f,
  0.9472788368289309f, 0.9472941952202782f, 0.9473095514347945f, 0.9473249054724442f,
  0.9473402573331920f, 0.9473556070170028f, 0.9473709545238412f, 0.9473862998536721f,
  0.9474016430064599f, 0.9474169839821697f, 0.9474323227807662f, 0.9474476594022139f,
  0.9474629938464777f, 0.9474783261135225f, 0.9474936562033128f, 0.9475089841158135f,
  0.9475243098509896f, 0.9475396334088055f, 0.9475549547892262f, 0.9475702739922165f,
  0.9475855910177411f, 0.9476009058657650f, 0.9476162185362527f, 0.9476315290291691f,
  0.9476468373444793f, 0.9476621434821478f, 0.9476774474421396f, 0.9476927492244194f,
  0.9477080488289521f, 0.9477233462557026f, 0.9477386415046358f, 0.9477539345757163f,
  0.9477692254689092f, 0.9477845141841792f, 0.9477998007214913f, 0.9478150850808102f,
  0.9478303672621010f, 0.9478456472653285f, 0.9478609250904575f, 0.9478762007374529f,
  0.9478914742062797f, 0.9479067454969029f, 0.9479220146092870f, 0.9479372815433973f,
  0.9479525462991987f, 0.9479678088766559f, 0.9479830692757338f, 0.9479983274963977f,
  0.9480135835386122f, 0.9480288374023423f, 0.9480440890875531f, 0.9480593385942094f,
  0.9480745859222762f, 0.9480898310717185f, 0.9481050740425012f, 0.9481203148345894f,
  0.9481355534479480f, 0.9481507898825418f, 0.9481660241383361f, 0.9481812562152957f,
  0.9481964861133856f, 0.9482117138325710f, 0.9482269393728165f, 0.9482421627340876f,
  0.9482573839163491f, 0.9482726029195658f, 0.9482878197437031f, 0.9483030343887259f,
  0.9483182468545991f, 0.9483334571412879f, 0.9483486652487574f, 0.9483638711769724f,
  0.9483790749258981f, 0.9483942764954997f, 0.9484094758857420f, 0.9484246730965903f,
  0.9484398681280096f, 0.9484550609799649f, 0.9484702516524214f, 0.9484854401453442f,
  0.9485006264586983f, 0.9485158105924488f, 0.9485309925465609f, 0.9485461723209997f,
  0.9485613499157303f, 0.9485765253307178f, 0.9485916985659273f, 0.9486068696213240f,
  0.9486220384968730f, 0.9486372051925395f, 0.9486523697082886f, 0.9486675320440854f,
  0.9486826921998951f, 0.9486978501756830f, 0.9487130059714139f, 0.9487281595870535f,
  0.9487433110225665f, 0.9487584602779183f, 0.9487736073530741f, 0.9487887522479991f,
  0.9488038949626584f, 0.9488190354970173f, 0.9488341738510410f, 0.9488493100246945f,
  0.9488644440179433f, 0.9488795758307526f, 0.9488947054630874f, 0.9489098329149133f,
  0.9489249581861952f, 0.9489400812768984f, 0.9489552021869883f, 0.9489703209164299f,
  0.9489854374651888f, 0.9490005518332300f, 0.9490156640205187f, 0.9490307740270206f,
  0.9490458818527006f, 0.9490609874975240f, 0.9490760909614563f, 0.9490911922444626f,
  0.9491062913465083f, 0.9491213882675587f, 0.9491364830075789f, 0.9491515755665345f,
  0.9491666659443907f, 0.9491817541411128f, 0.9491968401566663f, 0.9492119239910163f,
  0.9492270056441282f, 0.9492420851159674f, 0.9492571624064992f, 0.9492722375156889f,
  0.9492873104435021f, 0.9493023811899038f, 0.9493174497548598f, 0.9493325161383350f,
  0.9493475803402952f, 0.9493626423607054f, 0.9493777021995314f, 0.9493927598567382f,
  0.9494078153322915f, 0.9494228686261565f, 0.9494379197382988f, 0.9494529686686836f,
  0.9494680154172765f, 0.9494830599840428f, 0.9494981023689479f, 0.9495131425719574f,
  0.9495281805930367f, 0.9495432164321511f, 0.9495582500892661f, 0.9495732815643473f,
  0.9495883108573600f, 0.9496033379682697f, 0.9496183628970418f, 0.9496333856436420f,
  0.9496484062080355f, 0.9496634245901879f, 0.9496784407900649f, 0.9496934548076317f,
  0.9497084666428538f, 0.9497234762956970f, 0.9497384837661264f, 0.9497534890541078f,
  0.9497684921596067f, 0.9497834930825885f, 0.9497984918230188f, 0.9498134883808631f,
  0.9498284827560870f, 0.9498434749486561f, 0.9498584649585358f, 0.9498734527856916f,
  0.9498884384300893f, 0.9499034218916943f, 0.9499184031704722f, 0.9499333822663886f,
  0.9499483591794090f, 0.9499633339094991f, 0.9499783064566244f, 0.9499932768207504f,
  0.9500082450018430f, 0.9500232109998676f, 0.9500381748147898f, 0.9500531364465753f,
  0.9500680958951896f, 0.9500830531605984f, 0.9500980082427674f, 0.9501129611416620f,
  0.9501279118572481f, 0.9501428603894913f, 0.9501578067383570f, 0.9501727509038111f,
  0.9501876928858193f, 0.9502026326843471f, 0.9502175702993603f, 0.9502325057308244f,
  0.9502474389787052f, 0.9502623700429685f, 0.9502772989235797f, 0.9502922256205047f,
  0.9503071501337093f, 0.9503220724631589f, 0.9503369926088193f, 0.9503519105706565f,
  0.9503668263486358f, 0.9503817399427232f, 0.9503966513528844f, 0.9504115605790850f,
  0.9504264676212909f, 0.9504413724794678f, 0.9504562751535813f, 0.9504711756435974f,
  0.9504860739494817f, 0.9505009700712000f, 0.9505158640087181f, 0.9505307557620016f,
  0.9505456453310166f, 0.9505605327157287f, 0.9505754179161036f, 0.9505903009321072f,
  0.9506051817637053f, 0.9506200604108638f, 0.9506349368735483f, 0.9506498111517248f,
  0.9506646832453589f, 0.9506795531544167f, 0.9506944208788638f, 0.9507092864186661f,
  0.9507241497737896f, 0.9507390109442000f, 0.9507538699298631f, 0.9507687267307449f,
  0.9507835813468111f, 0.9507984337780276f, 0.9508132840243605f, 0.9508281320857753f,
  0.9508429779622382f, 0.9508578216537149f, 0.9508726631601713f, 0.9508875024815734f,
  0.9509023396178871f, 0.9509171745690781f, 0.9509320073351125f, 0.9509468379159562f,
  0.9509616663115751f, 0.9509764925219351f, 0.9509913165470021f, 0.9510061383867421f,
  0.9510209580411211f, 0.9510357755101049f, 0.9510505907936595f, 0.9510654038917510f,
  0.9510802148043450f, 0.9510950235314078f, 0.9511098300729054f, 0.9511246344288035f,
  0.9511394365990682f, 0.9511542365836656f, 0.9511690343825615f, 0.9511838299957220f,
  0.9511986234231132f, 0.9512134146647010f, 0.9512282037204514f, 0.9512429905903304f,
  0.9512577752743040f, 0.9512725577723382f, 0.9512873380843994f, 0.9513021162104530f,
  0.9513168921504656f, 0.9513316659044029f, 0.9513464374722311f, 0.9513612068539163f,
  0.9513759740494244f, 0.9513907390587216f, 0.9514055018817740f, 0.9514202625185475f,
  0.9514350209690083f, 0.9514497772331226f, 0.9514645313108562f, 0.9514792832021755f,
  0.9514940329070464f, 0.9515087804254350f, 0.9515235257573075f, 0.9515382689026299f,
  0.9515530098613686f, 0.9515677486334895f, 0.9515824852189587f, 0.9515972196177425f,
  0.9516119518298068f, 0.9516266818551180f, 0.9516414096936421f, 0.9516561353453453f,
  0.9516708588101939f, 0.9516855800881537f, 0.9517002991791913f, 0.9517150160832726f,
  0.9517297308003637f, 0.9517444433304312f, 0.9517591536734409f, 0.9517738618293591f,
  0.9517885677981521f, 0.9518032715797861f, 0.9518179731742272f, 0.9518326725814417f,
  0.9518473698013956f, 0.9518620648340556f, 0.9518767576793874f, 0.9518914483373576f,
  0.9519061368079323f, 0.9519208230910778f, 0.9519355071867602f, 0.9519501890949461f,
  0.9519648688156014f, 0.9519795463486925f, 0.9519942216941858f, 0.9520088948520473f,
  0.9520235658222436f, 0.9520382346047407f, 0.9520529011995050f, 0.9520675656065030f,
  0.9520822278257006f, 0.9520968878570645f, 0.9521115457005608f, 0.9521262013561558f,
  0.9521408548238158f, 0.9521555061035074f, 0.9521701551951965f, 0.9521848020988498f,
  0.9521994468144336f, 0.9522140893419140f, 0.9522287296812576f, 0.9522433678324307f,
  0.9522580037953996f, 0.9522726375701306f, 0.9522872691565903f, 0.9523018985547449f,
  0.9523165257645608f, 0.9523311507860046f, 0.9523457736190424f, 0.9523603942636407f,
  0.9523750127197659f, 0.9523896289873843f, 0.9524042430664627f, 0.9524188549569671f,
  0.9524334646588640f, 0.9524480721721200f, 0.9524626774967014f, 0.9524772806325748f,
  0.9524918815797063f, 0.9525064803380627f, 0.9525210769076102f, 0.9525356712883155f,
  0.9525502634801449f, 0.9525648534830649f, 0.9525794412970420f, 0.9525940269220426f,
  0.9526086103580333f, 0.9526231916049804f, 0.9526377706628507f, 0.9526523475316104f,
  0.9526669222112262f, 0.9526814947016644f, 0.9526960650028917f, 0.9527106331148746f,
  0.9527251990375796f, 0.9527397627709732f, 0.9527543243150218f, 0.9527688836696923f,
  0.9527834408349509f, 0.9527979958107643f, 0.9528125485970990f, 0.9528270991939216f,
  0.9528416476011987f, 0.9528561938188967f, 0.9528707378469824f, 0.9528852796854222f,
  0.9528998193341829f, 0.9529143567932308f, 0.9529288920625326f, 0.9529434251420551f,
  0.9529579560317647f, 0.9529724847316280f, 0.9529870112416117f, 0.9530015355616822f,
  0.9530160576918065f, 0.9530305776319510f, 0.9530450953820824f, 0.9530596109421672f,
  0.9530741243121722f, 0.9530886354920640f, 0.9531031444818093f, 0.9531176512813747f,
  0.9531321558907268f, 0.9531466583098325f, 0.9531611585386581f, 0.9531756565771706f,
  0.9531901524253367f, 0.9532046460831228f, 0.9532191375504958f, 0.9532336268274225f,
  0.9532481139138693f, 0.9532625988098031f, 0.9532770815151907f, 0.9532915620299988f,
  0.9533060403541938f, 0.9533205164877429f, 0.9533349904306124f, 0.9533494621827693f,
  0.9533639317441803f, 0.9533783991148121f, 0.9533928642946317f, 0.9534073272836054f,
  0.9534217880817003f, 0.9534362466888832f, 0.9534507031051206f, 0.9534651573303795f,
  0.9534796093646266f, 0.9534940592078288f, 0.9535085068599527f, 0.9535229523209653f,
  0.9535373955908333f, 0.9535518366695235f, 0.9535662755570028f, 0.9535807122532379f,
  0.9535951467581957f, 0.9536095790718431f, 0.9536240091941467f, 0.9536384371250736f,
  0.9536528628645905f, 0.9536672864126643f, 0.9536817077692619f, 0.9536961269343500f,
  0.9537105439078956f, 0.9537249586898656f, 0.9537393712802268f, 0.9537537816789460f,
  0.9537681898859903f, 0.9537825959013264f, 0.9537969997249214f, 0.9538114013567419f,
  0.9538258007967551f, 0.9538401980449277f, 0.9538545931012268f, 0.9538689859656191f,
  0.9538833766380718f, 0.9538977651185516f, 0.9539121514070255f, 0.9539265355034605f,
  0.9539409174078235f, 0.9539552971200813f, 0.9539696746402012f, 0.9539840499681499f,
  0.9539984231038945f, 0.9540127940474019f, 0.9540271627986391f, 0.9540415293575729f,
  0.9540558937241707f, 0.9540702558983991f, 0.9540846158802252f, 0.9540989736696162f,
  0.9541133292665388f, 0.9541276826709603f, 0.9541420338828475f, 0.9541563829021674f,
  0.9541707297288873f, 0.9541850743629740f, 0.9541994168043946f, 0.9542137570531162f,
  0.9542280951091057f, 0.9542424309723302f, 0.9542567646427569f, 0.9542710961203527f,
  0.9542854254050847f, 0.9542997524969200f, 0.9543140773958256f, 0.9543284001017688f,
  0.9543427206147165f, 0.9543570389346357f, 0.9543713550614938f, 0.9543856689952577f,
  0.9543999807358945f, 0.9544142902833714f, 0.9544285976376554f, 0.9544429027987138f,
  0.9544572057665136f, 0.9544715065410219f, 0.9544858051222058f, 0.9545001015100327f,
  0.9545143957044695f, 0.9545286877054834f, 0.9545429775130417f, 0.9545572651271114f,
  0.9545715505476596f, 0.9545858337746538f, 0.9546001148080608f, 0.9546143936478481f,
  0.9546286702939827f, 0.9546429447464317f, 0.9546572170051627f, 0.9546714870701424f,
  0.9546857549413383f, 0.9547000206187177f, 0.9547142841022476f, 0.9547285453918951f,
  0.9547428044876279f, 0.9547570613894129f, 0.9547713160972173f, 0.9547855686110085f,
  0.9547998189307537f, 0.9548140670564201f, 0.9548283129879751f, 0.9548425567253858f,
  0.9548567982686196f, 0.9548710376176436f, 0.9548852747724252f, 0.9548995097329318f,
  0.9549137424991305f, 0.9549279730709886f, 0.9549422014484735f, 0.9549564276315525f,
  0.9549706516201928f, 0.9549848734143618f, 0.9549990930140269f, 0.9550133104191552f,
  0.9550275256297142f, 0.9550417386456711f, 0.9550559494669933f, 0.9550701580936484f,
  0.9550843645256034f, 0.9550985687628257f, 0.9551127708052829f, 0.9551269706529421f,
  0.9551411683057708f, 0.9551553637637362f, 0.9551695570268059f, 0.9551837480949473f,
  0.9551979369681277f, 0.9552121236463144f, 0.9552263081294750f, 0.9552404904175766f,
  0.9552546705105870f, 0.9552688484084734f, 0.9552830241112031f, 0.9552971976187438f,
  0.9553113689310627f, 0.9553255380481274f, 0.9553397049699053f, 0.9553538696963638f,
  0.9553680322274702f, 0.9553821925631925f, 0.9553963507034974f, 0.9554105066483529f,
  0.9554246603977263f, 0.9554388119515852f, 0.9554529613098968f, 0.9554671084726289f,
  0.9554812534397488f, 0.9554953962112240f, 0.9555095367870221f, 0.9555236751671106f,
  0.9555378113514568f, 0.9555519453400285f, 0.9555660771327931f, 0.9555802067297181f,
  0.9555943341307711f, 0.9556084593359195f, 0.9556225823451311f, 0.9556367031583731f,
  0.9556508217756132f, 0.9556649381968192f, 0.9556790524219583f, 0.9556931644509983f,
  0.9557072742839066f, 0.9557213819206509f, 0.9557354873611987f, 0.9557495906055177f,
  0.9557636916535754f, 0.9557777905053394f, 0.9557918871607773f, 0.9558059816198567f,
  0.9558200738825454f, 0.9558341639488107f, 0.9558482518186204f, 0.9558623374919422f,
  0.9558764209687436f, 0.9558905022489922f, 0.9559045813326558f, 0.9559186582197019f,
  0.9559327329100982f, 0.9559468054038125f, 0.9559608757008121f, 0.9559749438010651f,
  0.9559890097045389f, 0.9560030734112013f, 0.9560171349210198f, 0.9560311942339623f,
  0.9560452513499964f, 0.9560593062690899f, 0.9560733589912103f, 0.9560874095163254f,
  0.9561014578444030f, 0.9561155039754108f, 0.9561295479093164f, 0.9561435896460876f,
  0.9561576291856921f, 0.9561716665280977f, 0.9561857016732722f, 0.9561997346211831f,
  0.9562137653717985f, 0.9562277939250858f, 0.9562418202810130f, 0.9562558444395478f,
  0.9562698664006581f, 0.9562838861643114f, 0.9562979037304757f, 0.9563119190991187f,
  0.9563259322702082f, 0.9563399432437121f, 0.9563539520195982f, 0.9563679585978340f,
  0.9563819629783877f, 0.9563959651612269f, 0.9564099651463195f, 0.9564239629336334f,
  0.9564379585231362f, 0.9564519519147959f, 0.9564659431085805f, 0.9564799321044576f,
  0.9564939189023950f, 0.9565079035023609f, 0.9565218859043229f, 0.9565358661082488f,
  0.9565498441141068f, 0.9565638199218645f, 0.9565777935314898f, 0.9565917649429507f,
  0.9566057341562151f, 0.9566197011712507f, 0.9566336659880257f, 0.9566476286065078f,
  0.9566615890266651f, 0.9566755472484653f, 0.9566895032718763f, 0.9567034570968663f,
  0.9567174087234031f, 0.9567313581514546f, 0.9567453053809888f, 0.9567592504119735f,
  0.9567731932443769f, 0.9567871338781668f, 0.9568010723133112f, 0.9568150085497781f,
  0.9568289425875354f, 0.9568428744265511f, 0.9568568040667934f, 0.9568707315082299f,
  0.9568846567508289f, 0.9568985797945583f, 0.9569125006393860f, 0.9569264192852802f,
  0.9569403357322089f, 0.9569542499801399f, 0.9569681620290414f, 0.9569820718788816f,
  0.9569959795296282f, 0.9570098849812494f, 0.9570237882337133f, 0.9570376892869877f,
  0.9570515881410410f, 0.9570654847958411f, 0.9570793792513560f, 0.9570932715075539f,
  0.9571071615644028f, 0.9571210494218707f, 0.9571349350799260f, 0.9571488185385364f,
  0.9571626997976701f, 0.9571765788572955f, 0.9571904557173803f, 0.9572043303778928f,
  0.9572182028388012f, 0.9572320731000735f, 0.9572459411616778f, 0.9572598070235824f,
  0.9572736706857552f, 0.9572875321481645f, 0.9573013914107785f, 0.9573152484735652f,
  0.9573291033364928f, 0.9573429559995296f, 0.9573568064626435f, 0.9573706547258030f,
  0.9573845007889759f, 0.9573983446521307f, 0.9574121863152355f, 0.9574260257782584f,
  0.9574398630411676f, 0.9574536981039315f, 0.9574675309665182f, 0.9574813616288957f,
  0.9574951900910326f, 0.9575090163528968f, 0.9575228404144567f, 0.9575366622756806f,
  0.9575504819365365f, 0.9575642993969927f, 0.9575781146570176f, 0.9575919277165794f,
  0.9576057385756463f, 0.9576195472341866f, 0.9576333536921685f, 0.9576471579495605f,
  0.9576609600063306f, 0.9576747598624472f, 0.9576885575178786f, 0.9577023529725931f,
  0.9577161462265589f, 0.9577299372797444f, 0.9577437261321180f, 0.9577575127836477f,
  0.9577712972343023f, 0.9577850794840497f, 0.9577988595328584f, 0.9578126373806967f,
  0.9578264130275329f, 0.9578401864733355f, 0.9578539577180726f, 0.9578677267617127f,
  0.9578814936042244f, 0.9578952582455756f, 0.9579090206857349f, 0.9579227809246708f,
  0.9579365389623514f, 0.9579502947987454f, 0.9579640484338209f, 0.9579777998675464f,
  0.9579915490998904f, 0.9580052961308212f, 0.9580190409603071f, 0.9580327835883168f,
  0.9580465240148186f, 0.9580602622397807f, 0.9580739982631720f, 0.9580877320849603f,
  0.9581014637051146f, 0.9581151931236033f, 0.9581289203403944f, 0.9581426453554568f,
  0.9581563681687588f, 0.9581700887802689f, 0.9581838071899554f, 0.9581975233977872f,
  0.9582112374037323f, 0.9582249492077594f, 0.9582386588098371f, 0.9582523662099336f,
  0.9582660714080177f, 0.9582797744040578f, 0.9582934751980222f, 0.9583071737898798f,
  0.9583208701795989f, 0.9583345643671480f, 0.9583482563524958f, 0.9583619461356107f,
  0.9583756337164612f, 0.9583893190950159f, 0.9584030022712434f, 0.9584166832451122f,
  0.9584303620165910f, 0.9584440385856482f, 0.9584577129522523f, 0.9584713851163722f,
  0.9584850550779761f, 0.9584987228370329f, 0.9585123883935111f, 0.9585260517473790f,
  0.9585397128986057f, 0.9585533718471596f, 0.9585670285930091f, 0.9585806831361232f,
  0.9585943354764702f, 0.9586079856140188f, 0.9586216335487379f, 0.9586352792805957f,
  0.9586489228095610f, 0.9586625641356028f, 0.9586762032586893f, 0.9586898401787893f,
  0.9587034748958716f, 0.9587171074099047f, 0.9587307377208573f, 0.9587443658286980f,
  0.9587579917333957f, 0.9587716154349190f, 0.9587852369332366f, 0.9587988562283171f,
  0.9588124733201293f, 0.9588260882086419f, 0.9588397008938235f, 0.9588533113756430f,
  0.9588669196540690f, 0.9588805257290703f, 0.9588941296006156f, 0.9589077312686737f,
  0.9589213307332131f, 0.9589349279942029f, 0.9589485230516116f, 0.9589621159054080f,
  0.9589757065555611f, 0.9589892950020393f, 0.9590028812448116f, 0.9590164652838469f,
  0.9590300471191135f, 0.9590436267505809f, 0.9590572041782172f, 0.9590707794019916f,
  0.9590843524218728f, 0.9590979232378296f, 0.9591114918498308f, 0.9591250582578453f,
  0.9591386224618419f, 0.9591521844617894f, 0.9591657442576567f, 0.9591793018494125f,
  0.9591928572370257f, 0.9592064104204653f, 0.9592199613996999f, 0.9592335101746985f,
  0.9592470567454301f, 0.9592606011118633f, 0.9592741432739672f, 0.9592876832317105f,
  0.9593012209850622f, 0.9593147565339912f, 0.9593282898784664f, 0.9593418210184566f,
  0.9593553499539308f, 0.9593688766848578f, 0.9593824012112067f, 0.9593959235329463f,
  0.9594094436500455f, 0.9594229615624733f, 0.9594364772701987f, 0.9594499907731904f,
  0.9594635020714175f, 0.9594770111648491f, 0.9594905180534539f, 0.9595040227372010f,
  0.9595175252160593f, 0.9595310254899978f, 0.9595445235589856f, 0.9595580194229915f,
  0.9595715130819845f, 0.9595850045359338f, 0.9595984937848081f, 0.9596119808285766f,
  0.9596254656672083f, 0.9596389483006721f, 0.9596524287289371f, 0.9596659069519723f,
  0.9596793829697468f, 0.9596928567822295f, 0.9597063283893895f, 0.9597197977911959f,
  0.9597332649876177f, 0.9597467299786239f, 0.9597601927641837f, 0.9597736533442660f,
  0.9597871117188399f, 0.9598005678878746f, 0.9598140218513391f, 0.9598274736092024f,
  0.9598409231614337f, 0.9598543705080022f, 0.9598678156488766f, 0.9598812585840264f,
  0.9598946993134205f, 0.9599081378370282f, 0.9599215741548184f, 0.9599350082667605f,
  0.9599484401728232f, 0.9599618698729760f, 0.9599752973671880f, 0.9599887226554282f,
  0.9600021457376660f, 0.9600155666138701f, 0.9600289852840100f, 0.9600424017480550f,
  0.9600558160059739f, 0.9600692280577361f, 0.9600826379033107f, 0.9600960455426669f,
  0.9601094509757739f, 0.9601228542026010f, 0.9601362552231172f, 0.9601496540372918f,
  0.9601630506450940f, 0.9601764450464930f, 0.9601898372414581f, 0.9602032272299585f,
  0.9602166150119634f, 0.9602300005874421f, 0.9602433839563637f, 0.9602567651186975f,
  0.9602701440744128f, 0.9602835208234788f, 0.9602968953658648f, 0.9603102677015402f,
  0.9603236378304739f, 0.9603370057526356f, 0.9603503714679943f, 0.9603637349765194f,
  0.9603770962781801f, 0.9603904553729459f, 0.9604038122607859f, 0.9604171669416693f,
  0.9604305194155658f, 0.9604438696824444f, 0.9604572177422747f, 0.9604705635950256f,
  0.9604839072406668f, 0.9604972486791674f, 0.9605105879104970f, 0.9605239249346247f,
  0.9605372597515200f, 0.9605505923611523f, 0.9605639227634908f, 0.9605772509585050f,
  0.9605905769461641f, 0.9606039007264376f, 0.9606172222992950f, 0.9606305416647055f,
  0.9606438588226385f, 0.9606571737730636f, 0.9606704865159499f, 0.9606837970512672f,
  0.9606971053789845f, 0.9607104114990713f, 0.9607237154114973f, 0.9607370171162317f,
  0.9607503166132439f, 0.9607636139025035f, 0.9607769089839799f, 0.9607902018576424f,
  0.9608034925234608f, 0.9608167809814041f, 0.9608300672314420f, 0.9608433512735440f,
  0.9608566331076797f, 0.9608699127338182f, 0.9608831901519292f, 0.9608964653619823f,
  0.9609097383639468f, 0.9609230091577923f, 0.9609362777434883f, 0.9609495441210043f,
  0.9609628082903098f, 0.9609760702513742f, 0.9609893300041673f, 0.9610025875486585f,
  0.9610158428848172f, 0.9610290960126132f, 0.9610423469320157f, 0.9610555956429946f,
  0.9610688421455194f, 0.9610820864395594f, 0.9610953285250844f, 0.9611085684020638f,
  0.9611218060704674f, 0.9611350415302646f, 0.9611482747814251f, 0.9611615058239183f,
  0.9611747346577142f, 0.9611879612827819f, 0.9612011856990913f, 0.9612144079066119f,
  0.9612276279053135f, 0.9612408456951654f, 0.9612540612761376f, 0.9612672746481994f,
  0.9612804858113206f, 0.9612936947654709f, 0.9613069015106198f, 0.9613201060467370f,
  0.9613333083737923f, 0.9613465084917551f, 0.9613597064005952f, 0.9613729021002825f,
  0.9613860955907862f, 0.9613992868720763f, 0.9614124759441225f, 0.9614256628068943f,
  0.9614388474603617f, 0.9614520299044941f, 0.9614652101392612f, 0.9614783881646330f,
  0.9614915639805790f, 0.9615047375870689f, 0.9615179089840726f, 0.9615310781715597f,
  0.9615442451495000f, 0.9615574099178632f, 0.9615705724766191f, 0.9615837328257374f,
  0.9615968909651879f, 0.9616100468949402f, 0.9616232006149644f, 0.9616363521252299f,
  0.9616495014257068f, 0.9616626485163647f, 0.9616757933971734f, 0.9616889360681027f,
  0.9617020765291225f, 0.9617152147802025f, 0.9617283508213126f, 0.9617414846524225f,
  0.9617546162735020f, 0.9617677456845211f, 0.9617808728854494f, 0.9617939978762570f,
  0.9618071206569135f, 0.9618202412273890f, 0.9618333595876529f, 0.9618464757376757f,
  0.9618595896774266f, 0.9618727014068759f, 0.9618858109259933f, 0.9618989182347488f,
  0.9619120233331121f, 0.9619251262210533f, 0.9619382268985421f, 0.9619513253655485f,
  0.9619644216220423f, 0.9619775156679935f, 0.9619906075033720f, 0.9620036971281477f,
  0.9620167845422906f, 0.9620298697457704f, 0.9620429527385572f, 0.9620560335206210f,
  0.9620691120919317f, 0.9620821884524591f, 0.9620952626021732f, 0.9621083345410441f,
  0.9621214042690416f, 0.9621344717861358f, 0.9621475370922966f, 0.9621606001874939f,
  0.9621736610716978f, 0.9621867197448783f, 0.9621997762070054f, 0.9622128304580490f,
  0.9622258824979790f, 0.9622389323267657f, 0.9622519799443789f, 0.9622650253507887f,
  0.9622780685459651f, 0.9622911095298782f, 0.9623041483024979f, 0.9623171848637943f,
  0.9623302192137374f, 0.9623432513522974f, 0.9623562812794441f, 0.9623693089951478f,
  0.9623823344993784f, 0.9623953577921061f, 0.9624083788733009f, 0.9624213977429328f,
  0.9624344144009720f, 0.9624474288473887f, 0.9624604410821527f, 0.9624734511052342f,
  0.9624864589166034f, 0.9624994645162305f, 0.9625124679040853f, 0.9625254690801383f,
  0.9625384680443592f, 0.9625514647967184f, 0.9625644593371859f, 0.9625774516657321f,
  0.9625904417823269f, 0.9626034296869405f, 0.9626164153795430f, 0.9626293988601047f,
  0.9626423801285957f, 0.9626553591849861f, 0.9626683360292462f, 0.9626813106613461f,
  0.9626942830812559f, 0.9627072532889460f, 0.9627202212843865f, 0.9627331870675475f,
  0.9627461506383994f, 0.9627591119969122f, 0.9627720711430564f, 0.9627850280768019f,
  0.9627979827981190f, 0.9628109353069781f, 0.9628238856033493f, 0.9628368336872029f,
  0.9628497795585090f, 0.9628627232172381f, 0.9628756646633602f, 0.9628886038968458f,
  0.9629015409176650f, 0.9629144757257881f, 0.9629274083211855f, 0.9629403387038273f,
  0.9629532668736839f, 0.9629661928307255f, 0.9629791165749225f, 0.9629920381062452f,
  0.9630049574246639f, 0.9630178745301488f, 0.9630307894226703f, 0.9630437021021987f,
  0.9630566125687043f, 0.9630695208221576f, 0.9630824268625287f, 0.9630953306897881f,
  0.9631082323039062f, 0.9631211317048531f, 0.9631340288925994f, 0.9631469238671154f,
  0.9631598166283714f, 0.9631727071763379f, 0.9631855955109850f, 0.9631984816322835f,
  0.9632113655402035f, 0.9632242472347154f, 0.9632371267157898f, 0.9632500039833968f,
  0.9632628790375071f, 0.9632757518780909f, 0.9632886225051187f, 0.9633014909185610f,
  0.9633143571183881f, 0.9633272211045706f, 0.9633400828770787f, 0.9633529424358831f,
  0.9633657997809540f, 0.9633786549122620f, 0.9633915078297777f, 0.9634043585334713f,
  0.9634172070233133f, 0.9634300532992743f, 0.9634428973613248f, 0.9634557392094352f,
  0.9634685788435760f, 0.9634814162637176f, 0.9634942514698307f, 0.9635070844618857f,
  0.9635199152398531f, 0.9635327438037035f, 0.9635455701534072f, 0.9635583942889350f,
  0.9635712162102572f, 0.9635840359173447f, 0.9635968534101675f, 0.9636096686886965f,
  0.9636224817529022f, 0.9636352926027552f, 0.9636481012382260f, 0.9636609076592851f,
  0.9636737118659032f, 0.9636865138580508f, 0.9636993136356985f, 0.9637121111988168f,
  0.9637249065473765f, 0.9637376996813480f, 0.9637504906007019f, 0.9637632793054091f,
  0.9637760657954398f, 0.9637888500707650f, 0.9638016321313549f, 0.9638144119771805f,
  0.9638271896082123f, 0.9638399650244209f, 0.9638527382257770f, 0.9638655092122512f,
  0.9638782779838142f, 0.9638910445404366f, 0.9639038088820892f, 0.9639165710087425f,
  0.9639293309203671f, 0.9639420886169341f, 0.9639548440984137f, 0.9639675973647768f,
  0.9639803484159941f, 0.9639930972520363f, 0.9640058438728740f, 0.9640185882784782f,
  0.9640313304688193f, 0.9640440704438680f, 0.9640568082035953f, 0.9640695437479717f,
  0.9640822770769681f, 0.9640950081905552f, 0.9641077370887036f, 0.9641204637713842f,
  0.9641331882385676f, 0.9641459104902247f, 0.9641586305263263f, 0.9641713483468430f,
  0.9641840639517457f, 0.9641967773410053f, 0.9642094885145923f, 0.9642221974724776f,
  0.9642349042146322f, 0.9642476087410266f, 0.9642603110516317f, 0.9642730111464184f,
  0.9642857090253574f, 0.9642984046884197f, 0.9643110981355759f, 0.9643237893667970f,
  0.9643364783820537f, 0.9643491651813170f, 0.9643618497645575f, 0.9643745321317464f,
  0.9643872122828543f, 0.9643998902178521f, 0.9644125659367108f, 0.9644252394394011f,
  0.9644379107258939f, 0.9644505797961601f, 0.9644632466501707f, 0.9644759112878964f,
  0.9644885737093084f, 0.9645012339143774f, 0.9645138919030741f, 0.9645265476753698f,
  0.9645392012312352f, 0.9645518525706412f, 0.9645645016935589f, 0.9645771485999590f,
  0.9645897932898128f, 0.9646024357630908f, 0.9646150760197642f, 0.9646277140598040f,
  0.9646403498831809f, 0.9646529834898662f, 0.9646656148798306f, 0.9646782440530453f,
  0.9646908710094809f, 0.9647034957491090f, 0.9647161182719000f, 0.9647287385778250f,
  0.9647413566668553f, 0.9647539725389618f, 0.9647665861941153f, 0.9647791976322870f,
  0.9647918068534479f, 0.9648044138575690f, 0.9648170186446212f, 0.9648296212145757f,
  0.9648422215674036f, 0.9648548197030757f, 0.9648674156215633f, 0.9648800093228374f,
  0.9648926008068689f, 0.9649051900736290f, 0.9649177771230887f, 0.9649303619552192f,
  0.9649429445699914f, 0.9649555249673767f, 0.9649681031473457f, 0.9649806791098700f,
  0.9649932528549203f, 0.9650058243824681f, 0.9650183936924841f, 0.9650309607849397f,
  0.9650435256598059f, 0.9650560883170538f, 0.9650686487566547f, 0.9650812069785796f,
  0.9650937629827996f, 0.9651063167692859f, 0.9651188683380097f, 0.9651314176889423f,
  0.9651439648220544f, 0.9651565097373176f, 0.9651690524347030f, 0.9651815929141816f,
  0.9651941311757247f, 0.9652066672193035f, 0.9652192010448891f, 0.9652317326524529f,
  0.9652442620419658f, 0.9652567892133993f, 0.9652693141667245f, 0.9652818369019125f,
  0.9652943574189347f, 0.9653068757177622f, 0.9653193917983663f, 0.9653319056607184f,
  0.9653444173047894f, 0.9653569267305507f, 0.9653694339379737f, 0.9653819389270295f,
  0.9653944416976894f, 0.9654069422499246f, 0.9654194405837065f, 0.9654319366990064f,
  0.9654444305957954f, 0.9654569222740450f, 0.9654694117337262f, 0.9654818989748107f,
  0.9654943839972695f, 0.9655068668010741f, 0.9655193473861957f, 0.9655318257526055f,
  0.9655443019002751f, 0.9655567758291758f, 0.9655692475392786f, 0.9655817170305552f,
  0.9655941843029768f, 0.9656066493565149f, 0.9656191121911405f, 0.9656315728068253f,
  0.9656440312035406f, 0.9656564873812576f, 0.9656689413399480f, 0.9656813930795829f,
  0.9656938426001338f, 0.9657062899015719f, 0.9657187349838690f, 0.9657311778469961f,
  0.9657436184909248f, 0.9657560569156265f, 0.9657684931210726f, 0.9657809271072345f,
  0.9657933588740836f, 0.9658057884215915f, 0.9658182157497295f, 0.9658306408584689f,
  0.9658430637477815f, 0.9658554844176385f, 0.9658679028680114f, 0.9658803190988717f,
  0.9658927331101909f, 0.9659051449019403f, 0.9659175544740917f, 0.9659299618266162f,
  0.9659423669594855f, 0.9659547698726711f, 0.9659671705661445f, 0.9659795690398771f,
  0.9659919652938406f, 0.9660043593280063f, 0.9660167511423459f, 0.9660291407368307f,
  0.9660415281114324f, 0.9660539132661226f, 0.9660662962008726f, 0.9660786769156542f,
  0.9660910554104388f, 0.9661034316851980f, 0.9661158057399034f, 0.9661281775745264f,
  0.9661405471890387f, 0.9661529145834120f, 0.9661652797576176f, 0.9661776427116272f,
  0.9661900034454126f, 0.9662023619589450f, 0.9662147182521964f, 0.9662270723251382f,
  0.9662394241777419f, 0.9662517738099793f, 0.9662641212218219f, 0.9662764664132415f,
  0.9662888093842096f, 0.9663011501346980f, 0.9663134886646779f, 0.9663258249741216f,
  0.9663381590630001f, 0.9663504909312854f, 0.9663628205789493f, 0.9663751480059632f,
  0.9663874732122988f, 0.9663997961979279f, 0.9664121169628221f, 0.9664244355069531f,
  0.9664367518302927f, 0.9664490659328124f, 0.9664613778144840f, 0.9664736874752793f,
  0.9664859949151698f, 0.9664983001341274f, 0.9665106031321238f, 0.9665229039091306f,
  0.9665352024651197f, 0.9665474988000627f, 0.9665597929139315f, 0.9665720848066977f,
  0.9665843744783331f, 0.9665966619288094f, 0.9666089471580986f, 0.9666212301661722f,
  0.9666335109530021f, 0.9666457895185601f, 0.9666580658628179f, 0.9666703399857473f,
  0.9666826118873202f, 0.9666948815675082f, 0.9667071490262833f, 0.9667194142636173f,
  0.9667316772794818f, 0.9667439380738490f, 0.9667561966466903f, 0.9667684529979779f,
  0.9667807071276834f, 0.9667929590357786f, 0.9668052087222355f, 0.9668174561870260f,
  0.9668297014301218f, 0.9668419444514949f, 0.9668541852511170f, 0.9668664238289600f,
  0.9668786601849959f, 0.9668908943191965f, 0.9669031262315337f, 0.9669153559219794f,
  0.9669275833905057f, 0.9669398086370840f, 0.9669520316616866f, 0.9669642524642854f,
  0.9669764710448521f, 0.9669886874033589f, 0.9670009015397774f, 0.9670131134540798f,
  0.9670253231462380f, 0.9670375306162238f, 0.9670497358640092f, 0.9670619388895664f,
  0.9670741396928670f, 0.9670863382738831f, 0.9670985346325868f, 0.9671107287689499f,
  0.9671229206829444f, 0.9671351103745424f, 0.9671472978437157f, 0.9671594830904364f,
  0.9671716661146766f, 0.9671838469164081f, 0.9671960254956031f, 0.9672082018522336f,
  0.9672203759862713f, 0.9672325478976888f, 0.9672447175864575f, 0.9672568850525498f,
  0.9672690502959378f, 0.9672812133165933f, 0.9672933741144886f, 0.9673055326895956f,
  0.9673176890418863f, 0.9673298431713329f, 0.9673419950779074f, 0.9673541447615819f,
  0.9673662922223285f, 0.9673784374601193f, 0.9673905804749263f, 0.9674027212667217f,
  0.9674148598354775f, 0.9674269961811659f, 0.9674391303037589f, 0.9674512622032287f,
  0.9674633918795474f, 0.9674755193326873f, 0.9674876445626203f, 0.9674997675693184f,
  0.9675118883527541f, 0.9675240069128994f, 0.9675361232497265f, 0.9675482373632074f,
  0.9675603492533144f, 0.9675724589200196f, 0.9675845663632953f, 0.9675966715831135f,
  0.9676087745794465f, 0.9676208753522664f, 0.9676329739015455f, 0.9676450702272559f,
  0.9676571643293699f, 0.9676692562078596f, 0.9676813458626973f, 0.9676934332938552f,
  0.9677055185013055f, 0.9677176014850204f, 0.9677296822449722f, 0.9677417607811332f,
  0.9677538370934755f, 0.9677659111819713f, 0.9677779830465931f, 0.9677900526873130f,
  0.9678021201041033f, 0.9678141852969362f, 0.9678262482657840f, 0.9678383090106191f,
  0.9678503675314136f, 0.9678624238281400f, 0.9678744779007704f, 0.9678865297492772f,
  0.9678985793736327f, 0.9679106267738091f, 0.9679226719497790f, 0.9679347149015144f,
  0.9679467556289878f, 0.9679587941321715f, 0.9679708304110378f, 0.9679828644655590f,
  0.9679948962957077f, 0.9680069259014559f, 0.9680189532827762f, 0.9680309784396409f,
  0.9680430013720223f, 0.9680550220798928f, 0.9680670405632249f, 0.9680790568219908f,
  0.9680910708561630f, 0.9681030826657139f, 0.9681150922506158f, 0.9681270996108412f,
  0.9681391047463623f, 0.9681511076571520f, 0.9681631083431822f, 0.9681751068044255f,
  0.9681871030408544f, 0.9681990970524413f, 0.9682110888391586f, 0.9682230784009788f,
  0.9682350657378743f, 0.9682470508498175f, 0.9682590337367811f, 0.9682710143987373f,
  0.9682829928356587f, 0.9682949690475177f, 0.9683069430342868f, 0.9683189147959385f,
  0.9683308843324453f, 0.9683428516437796f, 0.9683548167299141f, 0.9683667795908212f,
  0.9683787402264733f, 0.9683906986368430f, 0.9684026548219029f, 0.9684146087816254f,
  0.9684265605159832f, 0.9684385100249487f, 0.9684504573084944f, 0.9684624023665930f,
  0.9684743451992168f, 0.9684862858063387f, 0.9684982241879310f, 0.9685101603439663f,
  0.9685220942744173f, 0.9685340259792565f, 0.9685459554584565f, 0.9685578827119897f,
  0.9685698077398289f, 0.9685817305419467f, 0.9685936511183157f, 0.9686055694689084f,
  0.9686174855936975f, 0.9686293994926556f, 0.9686413111657552f, 0.9686532206129692f,
  0.9686651278342701f, 0.9686770328296304f, 0.9686889355990228f, 0.9687008361424201f,
  0.9687127344597948f, 0.9687246305511196f, 0.9687365244163673f, 0.9687484160555102f,
  0.9687603054685214f, 0.9687721926553734f, 0.9687840776160388f, 0.9687959603504904f,
  0.9688078408587010f, 0.9688197191406430f, 0.9688315951962893f, 0.9688434690256126f,
  0.9688553406285856f, 0.9688672100051809f, 0.9688790771553715f, 0.9688909420791298f,
  0.9689028047764289f, 0.9689146652472412f, 0.9689265234915396f, 0.9689383795092970f,
  0.9689502333004858f, 0.9689620848650790f, 0.9689739342030493f, 0.9689857813143695f,
  0.9689976261990123f, 0.9690094688569507f, 0.9690213092881572f, 0.9690331474926048f,
  0.9690449834702662f, 0.9690568172211143f, 0.9690686487451217f, 0.9690804780422614f,
  0.9690923051125061f, 0.9691041299558288f, 0.9691159525722022f, 0.9691277729615990f,
  0.9691395911239923f, 0.9691514070593548f, 0.9691632207676593f, 0.9691750322488788f,
  0.9691868415029860f, 0.9691986485299539f, 0.9692104533297553f, 0.9692222559023630f,
  0.9692340562477501f, 0.9692458543658892f, 0.9692576502567534f, 0.9692694439203156f,
  0.9692812353565485f, 0.9692930245654251f, 0.9693048115469185f, 0.9693165963010013f,
  0.9693283788276467f, 0.9693401591268275f, 0.9693519371985164f, 0.9693637130426868f,
  0.9693754866593113f, 0.9693872580483629f, 0.9693990272098146f, 0.9694107941436395f,
  0.9694225588498103f, 0.9694343213283001f, 0.9694460815790819f, 0.9694578396021285f,
  0.9694695953974130f, 0.9694813489649085f, 0.9694931003045878f, 0.9695048494164240f,
  0.9695165963003900f, 0.9695283409564589f, 0.9695400833846038f, 0.9695518235847975f,
  0.9695635615570132f, 0.9695752973012238f, 0.9695870308174025f, 0.9695987621055221f,
  0.9696104911655559f, 0.9696222179974767f, 0.9696339426012577f, 0.9696456649768719f,
  0.9696573851242924f, 0.9696691030434923f, 0.9696808187344447f, 0.9696925321971224f,
  0.9697042434314989f, 0.9697159524375469f, 0.9697276592152397f, 0.9697393637645505f,
  0.9697510660854521f, 0.9697627661779179f, 0.9697744640419209f, 0.9697861596774342f,
  0.9697978530844309f, 0.9698095442628842f, 0.9698212332127671f, 0.9698329199340530f,
  0.9698446044267148f, 0.9698562866907258f, 0.9698679667260590f, 0.9698796445326878f,
  0.9698913201105851f, 0.9699029934597242f, 0.9699146645800782f, 0.9699263334716205f,
  0.9699380001343240f, 0.9699496645681620f, 0.9699613267731078f, 0.9699729867491345f,
  0.9699846444962152f, 0.9699963000143234f, 0.9700079533034321f, 0.9700196043635145f,
  0.9700312531945440f, 0.9700428997964937f, 0.9700545441693368f, 0.9700661863130466f,
  0.9700778262275964f, 0.9700894639129595f, 0.9701010993691088f, 0.9701127325960180f,
  0.9701243635936603f, 0.9701359923620088f, 0.9701476189010367f, 0.9701592432107174f,
  0.9701708652910245f, 0.9701824851419307f, 0.9701941027634098f, 0.9702057181554349f,
  0.9702173313179792f, 0.9702289422510162f, 0.9702405509545191f, 0.9702521574284613f,
  0.9702637616728161f, 0.9702753636875568f, 0.9702869634726569f, 0.9702985610280895f,
  0.9703101563538281f, 0.9703217494498461f, 0.9703333403161167f, 0.9703449289526134f,
  0.9703565153593094f, 0.9703680995361783f, 0.9703796814831933f, 0.9703912612003279f,
  0.9704028386875555f, 0.9704144139448494f, 0.9704259869721830f, 0.9704375577695298f,
  0.9704491263368631f, 0.9704606926741565f, 0.9704722567813832f, 0.9704838186585167f,
  0.9704953783055305f, 0.9705069357223980f, 0.9705184909090926f, 0.9705300438655878f,
  0.9705415945918571f, 0.9705531430878738f, 0.9705646893536115f, 0.9705762333890436f,
  0.9705877751941436f, 0.9705993147688851f, 0.9706108521132412f, 0.9706223872271857f,
  0.9706339201106922f, 0.9706454507637339f, 0.9706569791862845f, 0.9706685053783174f,
  0.9706800293398061f, 0.9706915510707242f, 0.9707030705710453f, 0.9707145878407427f,
  0.9707261028797902f, 0.9707376156881611f, 0.9707491262658290f, 0.9707606346127676f,
  0.9707721407289504f, 0.9707836446143507f, 0.9707951462689424f, 0.9708066456926989f,
  0.9708181428855939f, 0.9708296378476008f, 0.9708411305786934f, 0.9708526210788450f,
  0.9708641093480295f, 0.9708755953862203f, 0.9708870791933911f, 0.9708985607695155f,
  0.9709100401145671f, 0.9709215172285195f, 0.9709329921113464f, 0.9709444647630213f,
  0.9709559351835180f, 0.9709674033728100f, 0.9709788693308710f, 0.9709903330576747f,
  0.9710017945531947f, 0.9710132538174047f, 0.9710247108502783f, 0.9710361656517892f,
  0.9710476182219111f, 0.9710590685606176f, 0.9710705166678826f, 0.9710819625436796f,
  0.9710934061879825f, 0.9711048476007647f, 0.9711162867820000f, 0.9711277237316622f,
  0.9711391584497251f, 0.9711505909361623f, 0.9711620211909475f, 0.9711734492140546f,
  0.9711848750054571f, 0.9711962985651289f, 0.9712077198930437f, 0.9712191389891753f,
  0.9712305558534974f, 0.9712419704859838f, 0.9712533828866082f, 0.9712647930553445f,
  0.9712762009921665f, 0.9712876066970478f, 0.9712990101699623f, 0.9713104114108838f,
  0.9713218104197862f, 0.9713332071966431f, 0.9713446017414284f, 0.9713559940541160f,
  0.9713673841346795f, 0.9713787719830930f, 0.9713901575993301f, 0.9714015409833648f,
  0.9714129221351709f, 0.9714243010547222f, 0.9714356777419926f, 0.9714470521969558f,
  0.9714584244195860f, 0.9714697944098567f, 0.9714811621677421f, 0.9714925276932157f,
  0.9715038909862518f, 0.9715152520468240f, 0.9715266108749062f, 0.9715379674704725f,
  0.9715493218334966f, 0.9715606739639525f, 0.9715720238618142f, 0.9715833715270554f,
  0.9715947169596502f, 0.9716060601595725f, 0.9716174011267961f, 0.9716287398612951f,
  0.9716400763630434f, 0.9716514106320150f, 0.9716627426681836f, 0.9716740724715236f,
  0.9716854000420085f, 0.9716967253796126f, 0.9717080484843098f, 0.9717193693560739f,
  0.9717306879948792f, 0.9717420044006994f, 0.9717533185735086f, 0.9717646305132809f,
  0.9717759402199901f, 0.9717872476936104f, 0.9717985529341158f, 0.9718098559414802f,
  0.9718211567156777f, 0.9718324552566824f, 0.9718437515644681f, 0.9718550456390092f,
  0.9718663374802794f, 0.9718776270882529f, 0.9718889144629038f, 0.9719001996042061f,
  0.9719114825121340f, 0.9719227631866614f, 0.9719340416277624f, 0.9719453178354112f,
  0.9719565918095817f, 0.9719678635502481f, 0.9719791330573846f, 0.9719904003309652f,
  0.9720016653709639f, 0.9720129281773550f, 0.9720241887501125f, 0.9720354470892106f,
  0.9720467031946235f, 0.9720579570663251f, 0.9720692087042897f, 0.9720804581084914f,
  0.9720917052789044f, 0.9721029502155029f, 0.9721141929182608f, 0.9721254333871525f,
  0.9721366716221521f, 0.9721479076232339f, 0.9721591413903720f, 0.9721703729235404f,
  0.9721816022227134f, 0.9721928292878654f, 0.9722040541189704f, 0.9722152767160026f,
  0.9722264970789363f, 0.9722377152077456f, 0.9722489311024050f, 0.9722601447628882f,
  0.9722713561891700f, 0.9722825653812244f, 0.9722937723390255f, 0.9723049770625477f,
  0.9723161795517653f, 0.9723273798066525f, 0.9723385778271835f, 0.9723497736133326f,
  0.9723609671650741f, 0.9723721584823823f, 0.9723833475652315f, 0.9723945344135958f,
  0.9724057190274498f, 0.9724169014067675f, 0.9724280815515234f, 0.9724392594616917f,
  0.9724504351372468f, 0.9724616085781630f, 0.9724727797844146f, 0.9724839487559759f,
  0.9724951154928212f, 0.9725062799949250f, 0.9725174422622614f, 0.9725286022948051f,
  0.9725397600925302f, 0.9725509156554111f, 0.9725620689834221f, 0.9725732200765377f,
  0.9725843689347322f, 0.9725955155579801f, 0.9726066599462556f, 0.9726178020995332f,
  0.9726289420177873f, 0.9726400797009922f, 0.9726512151491225f, 0.9726623483621524f,
  0.9726734793400564f, 0.9726846080828090f, 0.9726957345903846f, 0.9727068588627575f,
  0.9727179808999024f, 0.9727291007017933f, 0.9727402182684051f, 0.9727513335997120f,
  0.9727624466956886f, 0.9727735575563091f, 0.9727846661815485f, 0.9727957725713806f,
  0.9728068767257804f, 0.9728179786447221f, 0.9728290783281803f, 0.9728401757761295f,
  0.9728512709885442f, 0.9728623639653988f, 0.9728734547066680f, 0.9728845432123261f,
  0.9728956294823478f, 0.9729067135167074f, 0.9729177953153797f, 0.9729288748783391f,
  0.9729399522055602f, 0.9729510272970173f, 0.9729621001526854f, 0.9729731707725386f,
  0.9729842391565517f, 0.9729953053046992f, 0.9730063692169558f, 0.9730174308932960f,
  0.9730284903336941f, 0.9730395475381252f, 0.9730506025065635f, 0.9730616552389837f,
  0.9730727057353605f, 0.9730837539956684f, 0.9730948000198821f, 0.9731058438079762f,
  0.9731168853599251f, 0.9731279246757037f, 0.9731389617552866f, 0.9731499965986483f,
  0.9731610292057635f, 0.9731720595766070f, 0.9731830877111532f, 0.9731941136093769f,
  0.9732051372712528f, 0.9732161586967555f, 0.9732271778858597f, 0.9732381948385400f,
  0.9732492095547711f, 0.9732602220345279f, 0.9732712322777848f, 0.9732822402845167f,
  0.9732932460546982f, 0.9733042495883041f, 0.9733152508853090f, 0.9733262499456876f,
  0.9733372467694148f, 0.9733482413564652f, 0.9733592337068137f, 0.9733702238204347f,
  0.9733812116973033f, 0.9733921973373940f, 0.9734031807406817f, 0.9734141619071411f,
  0.9734251408367470f, 0.9734361175294742f, 0.9734470919852974f, 0.9734580642041915f,
  0.9734690341861310f, 0.9734800019310911f, 0.9734909674390462f, 0.9735019307099714f,
  0.9735128917438414f, 0.9735238505406310f, 0.9735348071003149f, 0.9735457614228682f,
  0.9735567135082656f, 0.9735676633564818f, 0.9735786109674918f, 0.9735895563412703f,
  0.9736004994777924f, 0.9736114403770326f, 0.9736223790389661f, 0.9736333154635676f,
  0.9736442496508119f, 0.9736551816006740f, 0.9736661113131287f, 0.9736770387881510f,
  0.9736879640257157f, 0.9736988870257977f, 0.9737098077883718f, 0.9737207263134131f,
  0.9737316426008964f, 0.9737425566507966f, 0.9737534684630886f, 0.9737643780377475f,
  0.9737752853747480f, 0.9737861904740652f, 0.9737970933356740f, 0.9738079939595493f,
  0.9738188923456661f, 0.9738297884939994f, 0.9738406824045239f, 0.9738515740772150f,
  0.9738624635120473f, 0.9738733507089959f, 0.9738842356680358f, 0.9738951183891420f,
  0.9739059988722896f, 0.9739168771174532f, 0.9739277531246082f, 0.9739386268937296f,
  0.9739494984247922f, 0.9739603677177711f, 0.9739712347726414f, 0.9739820995893779f,
  0.9739929621679558f, 0.9740038225083503f, 0.9740146806105362f, 0.9740255364744886f,
  0.9740363901001826f, 0.9740472414875933f, 0.9740580906366956f, 0.9740689375474647f,
  0.9740797822198757f, 0.9740906246539036f, 0.9741014648495234f, 0.9741123028067105f,
  0.9741231385254396f, 0.9741339720056861f, 0.9741448032474249f, 0.9741556322506314f,
  0.9741664590152803f, 0.9741772835413471f, 0.9741881058288068f, 0.9741989258776343f,
  0.9742097436878051f, 0.9742205592592942f, 0.9742313725920767f, 0.9742421836861277f,
  0.9742529925414225f, 0.9742637991579363f, 0.9742746035356440f, 0.9742854056745209f,
  0.9742962055745423f, 0.9743070032356834f, 0.9743177986579191f, 0.9743285918412249f,
  0.9743393827855759f, 0.9743501714909472f, 0.9743609579573140f, 0.9743717421846517f,
  0.9743825241729355f, 0.9743933039221404f, 0.9744040814322419f, 0.9744148567032149f,
  0.9744256297350350f, 0.9744364005276772f, 0.9744471690811169f, 0.9744579353953293f,
  0.9744686994702896f, 0.9744794613059732f, 0.9744902209023552f, 0.9745009782594110f,
  0.9745117333771157f, 0.9745224862554449f, 0.9745332368943737f, 0.9745439852938773f,
  0.9745547314539312f, 0.9745654753745105f, 0.9745762170555908f, 0.9745869564971472f,
  0.9745976936991551f, 0.9746084286615896f, 0.9746191613844264f, 0.9746298918676406f,
  0.9746406201112077f, 0.9746513461151027f, 0.9746620698793014f, 0.9746727914037789f,
  0.9746835106885107f, 0.9746942277334720f, 0.9747049425386383f, 0.9747156551039849f,
  0.9747263654294873f, 0.9747370735151207f, 0.9747477793608608f, 0.9747584829666825f,
  0.9747691843325618f, 0.9747798834584737f, 0.9747905803443937f, 0.9748012749902973f,
  0.9748119673961598f, 0.9748226575619569f, 0.9748333454876635f, 0.9748440311732556f,
  0.9748547146187084f, 0.9748653958239973f, 0.9748760747890980f, 0.9748867515139856f,
  0.9748974259986358f, 0.9749080982430240f, 0.9749187682471259f, 0.9749294360109166f,
  0.9749401015343717f, 0.9749507648174669f, 0.9749614258601775f, 0.9749720846624791f,
  0.9749827412243471f, 0.9749933955457571f, 0.9750040476266846f, 0.9750146974671051f,
  0.9750253450669941f, 0.9750359904263273f, 0.9750466335450799f, 0.9750572744232279f,
  0.9750679130607465f, 0.9750785494576112f, 0.9750891836137978f, 0.9750998155292819f,
  0.9751104452040389f, 0.9751210726380443f, 0.9751316978312738f, 0.9751423207837031f,
  0.9751529414953076f, 0.9751635599660631f, 0.9751741761959448f, 0.9751847901849288f,
  0.9751954019329904f, 0.9752060114401052f, 0.9752166187062490f, 0.9752272237313974f,
  0.9752378265155258f, 0.9752484270586101f, 0.9752590253606258f, 0.9752696214215486f,
  0.9752802152413542f, 0.9752908068200181f, 0.9753013961575161f, 0.9753119832538238f,
  0.9753225681089169f, 0.9753331507227712f, 0.9753437310953621f, 0.9753543092266654f,
  0.9753648851166569f, 0.9753754587653123f, 0.9753860301726072f, 0.9753965993385173f,
  0.9754071662630183f, 0.9754177309460860f, 0.9754282933876961f, 0.9754388535878243f,
  0.9754494115464464f, 0.9754599672635381f, 0.9754705207390750f, 0.9754810719730331f,
  0.9754916209653881f, 0.9755021677161155f, 0.9755127122251914f, 0.9755232544925915f,
  0.9755337945182914f, 0.9755443323022669f, 0.9755548678444940f, 0.9755654011449483f,
  0.9755759322036057f, 0.9755864610204419f, 0.9755969875954328f, 0.9756075119285541f,
  0.9756180340197818f, 0.9756285538690914f, 0.9756390714764591f, 0.9756495868418605f,
  0.9756600999652716f, 0.9756706108466681f, 0.9756811194860258f, 0.9756916258833206f,
  0.9757021300385286f, 0.9757126319516253f, 0.9757231316225867f, 0.9757336290513888f,
  0.9757441242380073f, 0.9757546171824182f, 0.9757651078845974f, 0.9757755963445206f,
  0.9757860825621639f, 0.9757965665375031f, 0.9758070482705142f, 0.9758175277611731f,
  0.9758280050094555f, 0.9758384800153377f, 0.9758489527787954f, 0.9758594232998045f,
  0.9758698915783410f, 0.9758803576143810f, 0.9758908214079001f, 0.9759012829588745f,
  0.9759117422672802f, 0.9759221993330930f, 0.9759326541562890f, 0.9759431067368440f,
  0.9759535570747343f, 0.9759640051699356f, 0.9759744510224240f, 0.9759848946321754f,
  0.9759953359991660f, 0.9760057751233716f, 0.9760162120047683f, 0.9760266466433322f,
  0.9760370790390390f, 0.9760475091918651f, 0.9760579371017866f, 0.9760683627687791f,
  0.9760787861928188f, 0.9760892073738821f, 0.9760996263119446f, 0.9761100430069825f,
  0.9761204574589719f, 0.9761308696678889f, 0.9761412796337096f, 0.9761516873564099f,
  0.9761620928359661f, 0.9761724960723541f, 0.9761828970655502f, 0.9761932958155303f,
  0.9762036923222706f, 0.9762140865857472f, 0.9762244786059361f, 0.9762348683828136f,
  0.9762452559163558f, 0.9762556412065387f, 0.9762660242533386f, 0.9762764050567315f,
  0.9762867836166936f, 0.9762971599332011f, 0.9763075340062302f, 0.9763179058357568f,
  0.9763282754217573f, 0.9763386427642078f, 0.9763490078630845f, 0.9763593707183635f,
  0.9763697313300211f, 0.9763800896980335f, 0.9763904458223768f, 0.9764007997030272f,
  0.9764111513399610f, 0.9764215007331544f, 0.9764318478825835f, 0.9764421927882246f,
  0.9764525354500541f, 0.9764628758680478f, 0.9764732140421825f, 0.9764835499724339f,
  0.9764938836587786f, 0.9765042151011928f, 0.9765145442996526f, 0.9765248712541345f,
  0.9765351959646145f, 0.9765455184310690f, 0.9765558386534744f, 0.9765661566318068f,
  0.9765764723660426f, 0.9765867858561581f, 0.9765970971021296f, 0.9766074061039333f,
  0.9766177128615456f, 0.9766280173749428f, 0.9766383196441012f, 0.9766486196689972f,
  0.9766589174496070f, 0.9766692129859070f, 0.9766795062778736f, 0.9766897973254831f,
  0.9767000861287118f, 0.9767103726875361f, 0.9767206570019324f, 0.9767309390718771f,
  0.9767412188973466f, 0.9767514964783169f, 0.9767617718147649f, 0.9767720449066666f,
  0.9767823157539987f, 0.9767925843567373f, 0.9768028507148591f, 0.9768131148283402f,
  0.9768233766971572f, 0.9768336363212866f, 0.9768438937007047f, 0.9768541488353879f,
  0.9768644017253126f, 0.9768746523704555f, 0.9768849007707927f, 0.9768951469263009f,
  0.9769053908369565f, 0.9769156325027358f, 0.9769258719236155f, 0.9769361090995720f,
  0.9769463440305816f, 0.9769565767166210f, 0.9769668071576666f, 0.9769770353536948f,
  0.9769872613046824f, 0.9769974850106056f, 0.9770077064714410f, 0.9770179256871651f,
  0.9770281426577544f, 0.9770383573831855f, 0.9770485698634348f, 0.9770587800984789f,
  0.9770689880882945f, 0.9770791938328578f, 0.9770893973321456f, 0.9770995985861345f,
  0.9771097975948009f, 0.9771199943581214f, 0.9771301888760725f, 0.9771403811486310f,
  0.9771505711757732f, 0.9771607589574758f, 0.9771709444937156f, 0.9771811277844688f,
  0.9771913088297123f, 0.9772014876294226f, 0.9772116641835762f, 0.9772218384921499f,
  0.9772320105551203f, 0.9772421803724639f, 0.9772523479441575f, 0.9772625132701775f,
  0.9772726763505009f, 0.9772828371851040f, 0.9772929957739636f, 0.9773031521170562f,
  0.9773133062143587f, 0.9773234580658476f, 0.9773336076714997f, 0.9773437550312917f,
  0.9773539001452000f, 0.9773640430132016f, 0.9773741836352730f, 0.9773843220113910f,
  0.9773944581415323f, 0.9774045920256735f, 0.9774147236637915f, 0.9774248530558628f,
  0.9774349802018643f, 0.9774451051017725f, 0.9774552277555645f, 0.9774653481632167f,
  0.9774754663247061f, 0.9774855822400093f, 0.9774956959091030f, 0.9775058073319640f,
  0.9775159165085693f, 0.9775260234388953f, 0.9775361281229190f, 0.9775462305606172f,
  0.9775563307519665f, 0.9775664286969439f, 0.9775765243955260f, 0.9775866178476897f,
  0.9775967090534119f, 0.9776067980126693f, 0.9776168847254386f, 0.9776269691916969f,
  0.9776370514114208f, 0.9776471313845871f, 0.9776572091111730f, 0.9776672845911549f,
  0.9776773578245099f, 0.9776874288112148f, 0.9776974975512465f, 0.9777075640445817f,
  0.9777176282911976f, 0.9777276902910705f, 0.9777377500441780f, 0.9777478075504963f,
  0.9777578628100028f, 0.9777679158226741f, 0.9777779665884871f, 0.9777880151074190f,
  0.9777980613794464f, 0.9778081054045463f, 0.9778181471826957f, 0.9778281867138714f,
  0.9778382239980504f, 0.9778482590352097f, 0.9778582918253260f, 0.9778683223683766f,
  0.9778783506643381f, 0.9778883767131877f, 0.9778984005149023f, 0.9779084220694589f,
  0.9779184413768344f, 0.9779284584370056f, 0.9779384732499499f, 0.9779484858156440f,
  0.9779584961340648f, 0.9779685042051897f, 0.9779785100289953f, 0.9779885136054587f,
  0.9779985149345571f, 0.9780085140162673f, 0.9780185108505665f, 0.9780285054374316f,
  0.9780384977768396f, 0.9780484878687676f, 0.9780584757131928f, 0.9780684613100920f,
  0.9780784446594424f, 0.9780884257612209f, 0.9780984046154048f, 0.9781083812219711f,
  0.9781183555808967f, 0.9781283276921587f, 0.9781382975557344f, 0.9781482651716009f,
  0.9781582305397351f, 0.9781681936601141f, 0.9781781545327151f, 0.9781881131575151f,
  0.9781980695344914f, 0.9782080236636210f, 0.9782179755448811f, 0.9782279251782487f,
  0.9782378725637011f, 0.9782478177012153f, 0.9782577605907685f, 0.9782677012323379f,
  0.9782776396259005f, 0.9782875757714337f, 0.9782975096689144f, 0.9783074413183200f,
  0.9783173707196277f, 0.9783272978728144f, 0.9783372227778575f, 0.9783471454347342f,
  0.9783570658434216f, 0.9783669840038971f, 0.9783768999161376f, 0.9783868135801205f,
  0.9783967249958231f, 0.9784066341632224f, 0.9784165410822958f, 0.9784264457530205f,
  0.9784363481753737f, 0.9784462483493328f, 0.9784561462748748f, 0.9784660419519771f,
  0.9784759353806168f, 0.9784858265607714f, 0.9784957154924181f, 0.9785056021755342f,
  0.9785154866100969f, 0.9785253687960834f, 0.9785352487334712f, 0.9785451264222375f,
  0.9785550018623596f, 0.9785648750538148f, 0.9785747459965805f, 0.9785846146906337f,
  0.9785944811359523f, 0.9786043453325131f, 0.9786142072802936f, 0.9786240669792712f,
  0.9786339244294231f, 0.9786437796307269f, 0.9786536325831597f, 0.9786634832866991f,
  0.9786733317413222f, 0.9786831779470065f, 0.9786930219037294f, 0.9787028636114683f,
  0.9787127030702004f, 0.9787225402799034f, 0.9787323752405543f, 0.9787422079521310f,
  0.9787520384146103f, 0.9787618666279702f, 0.9787716925921877f, 0.9787815163072404f,
  0.9787913377731057f, 0.9788011569897610f, 0.9788109739571837f, 0.9788207886753514f,
  0.9788306011442415f, 0.9788404113638313f, 0.9788502193340983f, 0.9788600250550201f,
  0.9788698285265741f, 0.9788796297487378f, 0.9788894287214884f, 0.9788992254448039f,
  0.9789090199186613f, 0.9789188121430383f, 0.9789286021179125f, 0.9789383898432613f,
  0.9789481753190622f, 0.9789579585452927f, 0.9789677395219303f, 0.9789775182489526f,
  0.9789872947263371f, 0.9789970689540612f, 0.9790068409321028f, 0.9790166106604390f,
  0.9790263781390476f, 0.9790361433679062f, 0.9790459063469922f, 0.9790556670762832f,
  0.9790654255557569f, 0.9790751817853908f, 0.9790849357651623f, 0.9790946874950494f,
  0.9791044369750292f, 0.9791141842050797f, 0.9791239291851782f, 0.9791336719153025f,
  0.9791434123954302f, 0.9791531506255389f, 0.9791628866056061f, 0.9791726203356097f,
  0.9791823518155269f, 0.9791920810453357f, 0.9792018080250138f, 0.9792115327545385f,
  0.9792212552338877f, 0.9792309754630389f, 0.9792406934419700f, 0.9792504091706584f,
  0.9792601226490820f, 0.9792698338772184f, 0.9792795428550451f, 0.9792892495825402f,
  0.9792989540596810f, 0.9793086562864454f, 0.9793183562628109f, 0.9793280539887556f,
  0.9793377494642569f, 0.9793474426892925f, 0.9793571336638403f, 0.9793668223878779f,
  0.9793765088613832f, 0.9793861930843336f, 0.9793958750567073f, 0.9794055547784818f,
  0.9794152322496348f, 0.9794249074701442f, 0.9794345804399877f, 0.9794442511591431f,
  0.9794539196275882f, 0.9794635858453007f, 0.9794732498122585f, 0.9794829115284391f,
  0.9794925709938207f, 0.9795022282083810f, 0.9795118831720976f, 0.9795215358849485f,
  0.9795311863469115f, 0.9795408345579644f, 0.9795504805180849f, 0.9795601242272510f,
  0.9795697656854405f, 0.9795794048926313f, 0.9795890418488011f, 0.9795986765539280f,
  0.9796083090079895f, 0.9796179392109637f, 0.9796275671628285f, 0.9796371928635618f,
  0.9796468163131412f, 0.9796564375115449f, 0.9796660564587507f, 0.9796756731547364f,
  0.9796852875994799f, 0.9796948997929593f, 0.9797045097351523f, 0.9797141174260370f,
  0.9797237228655912f, 0.9797333260537928f, 0.9797429269906197f, 0.9797525256760501f,
  0.9797621221100616f, 0.9797717162926325f, 0.9797813082237404f, 0.9797908979033636f,
  0.9798004853314797f, 0.9798100705080670f, 0.9798196534331033f, 0.9798292341065665f,
  0.9798388125284347f, 0.9798483886986861f, 0.9798579626172983f, 0.9798675342842494f,
  0.9798771036995176f, 0.9798866708630808f, 0.9798962357749170f, 0.9799057984350042f,
  0.9799153588433205f, 0.9799249169998439f, 0.9799344729045523f, 0.9799440265574240f,
  0.9799535779584367f, 0.9799631271075688f, 0.9799726740047983f, 0.9799822186501029f,
  0.9799917610434612f, 0.9800013011848510f, 0.9800108390742502f, 0.9800203747116373f,
  0.9800299080969900f, 0.9800394392302866f, 0.9800489681115052f, 0.9800584947406238f,
  0.9800680191176206f, 0.9800775412424737f, 0.9800870611151612f, 0.9800965787356611f,
  0.9801060941039518f, 0.9801156072200112f, 0.9801251180838175f, 0.9801346266953489f,
  0.9801441330545836f, 0.9801536371614996f, 0.9801631390160751f, 0.9801726386182883f,
  0.9801821359681174f, 0.9801916310655405f, 0.9802011239105358f, 0.9802106145030817f,
  0.9802201028431560f, 0.9802295889307372f, 0.9802390727658034f, 0.9802485543483327f,
  0.9802580336783036f, 0.9802675107556940f, 0.9802769855804823f, 0.9802864581526466f,
  0.9802959284721653f, 0.9803053965390165f, 0.9803148623531786f, 0.9803243259146296f,
  0.9803337872233480f, 0.9803432462793119f, 0.9803527030824997f, 0.9803621576328895f,
  0.9803716099304598f, 0.9803810599751885f, 0.9803905077670544f, 0.9803999533060354f,
  0.9804093965921099f, 0.9804188376252562f, 0.9804282764054526f, 0.9804377129326775f,
  0.9804471472069091f, 0.9804565792281257f, 0.9804660089963058f, 0.9804754365114275f,
  0.9804848617734694f, 0.9804942847824095f, 0.9805037055382265f, 0.9805131240408985f,
  0.9805225402904041f, 0.9805319542867214f, 0.9805413660298289f, 0.9805507755197049f,
  0.9805601827563279f, 0.9805695877396762f, 0.9805789904697282f, 0.9805883909464622f,
  0.9805977891698568f, 0.9806071851398902f, 0.9806165788565411f, 0.9806259703197875f,
  0.9806353595296081f, 0.9806447464859813f, 0.9806541311888854f, 0.9806635136382991f,
  0.9806728938342005f, 0.9806822717765683f, 0.9806916474653808f, 0.9807010209006166f,
  0.9807103920822540f, 0.9807197610102716f, 0.9807291276846477f, 0.9807384921053609f,
  0.9807478542723898f, 0.9807572141857126f, 0.9807665718453080f, 0.9807759272511545f,
  0.9807852804032304f, 0.9807946313015145f, 0.9808039799459851f, 0.9808133263366208f,
  0.9808226704734001f, 0.9808320123563015f, 0.9808413519853035f, 0.9808506893603849f,
  0.9808600244815239f, 0.9808693573486992f, 0.9808786879618894f, 0.9808880163210729f,
  0.9808973424262284f, 0.9809066662773345f, 0.9809159878743696f, 0.9809253072173125f,
  0.9809346243061416f, 0.9809439391408357f, 0.9809532517213732f, 0.9809625620477327f,
  0.9809718701198928f, 0.9809811759378324f, 0.9809904795015297f, 0.9809997808109636f,
  0.9810090798661126f, 0.9810183766669555f, 0.9810276712134706f, 0.9810369635056368f,
  0.9810462535434328f, 0.9810555413268370f, 0.9810648268558284f, 0.9810741101303854f,
  0.9810833911504866f, 0.9810926699161110f, 0.9811019464272369f, 0.9811112206838433f,
  0.9811204926859087f, 0.9811297624334119f, 0.9811390299263315f, 0.9811482951646463f,
  0.9811575581483348f, 0.9811668188773761f, 0.9811760773517486f, 0.9811853335714311f,
  0.9811945875364023f, 0.9812038392466411f, 0.9812130887021261f, 0.9812223359028360f,
  0.9812315808487497f, 0.9812408235398458f, 0.9812500639761031f, 0.9812593021575006f,
  0.9812685380840167f, 0.9812777717556305f, 0.9812870031723204f, 0.9812962323340656f,
  0.9813054592408447f, 0.9813146838926364f, 0.9813239062894197f, 0.9813331264311732f,
  0.9813423443178759f, 0.9813515599495066f, 0.9813607733260441f, 0.9813699844474671f,
  0.9813791933137546f, 0.9813883999248852f, 0.9813976042808381f, 0.9814068063815919f,
  0.9814160062271255f, 0.9814252038174178f, 0.9814343991524477f, 0.9814435922321940f,
  0.9814527830566355f, 0.9814619716257512f, 0.9814711579395200f, 0.9814803419979207f,
  0.9814895238009321f, 0.9814987033485334f, 0.9815078806407034f, 0.9815170556774208f,
  0.9815262284586647f, 0.9815353989844140f, 0.9815445672546477f, 0.9815537332693446f,
  0.9815628970284836f, 0.9815720585320438f, 0.9815812177800041f, 0.9815903747723435f,
  0.9815995295090407f, 0.9816086819900749f, 0.9816178322154251f, 0.9816269801850701f,
  0.9816361258989891f, 0.9816452693571608f, 0.9816544105595644f, 0.9816635495061788f,
  0.9816726861969831f, 0.9816818206319562f, 0.9816909528110772f, 0.9817000827343251f,
  0.9817092104016788f, 0.9817183358131174f, 0.9817274589686199f, 0.9817365798681654f,
  0.9817456985117330f, 0.9817548148993016f, 0.9817639290308503f, 0.9817730409063582f,
  0.9817821505258043f, 0.9817912578891678f, 0.9818003629964276f, 0.9818094658475628f,
  0.9818185664425525f, 0.9818276647813758f, 0.9818367608640119f, 0.9818458546904398f,
  0.9818549462606386f, 0.9818640355745873f, 0.9818731226322653f, 0.9818822074336515f,
  0.9818912899787250f, 0.9819003702674651f, 0.9819094482998507f, 0.9819185240758612f,
  0.9819275975954755f, 0.9819366688586730f, 0.9819457378654327f, 0.9819548046157337f,
  0.9819638691095552f, 0.9819729313468766f, 0.9819819913276767f, 0.9819910490519350f,
  0.9820001045196305f, 0.9820091577307425f, 0.9820182086852500f, 0.9820272573831326f,
  0.9820363038243690f, 0.9820453480089388f, 0.9820543899368211f, 0.9820634296079951f,
  0.9820724670224399f, 0.9820815021801350f, 0.9820905350810595f, 0.9820995657251925f,
  0.9821085941125136f, 0.9821176202430016f, 0.9821266441166363f, 0.9821356657333965f,
  0.9821446850932616f, 0.9821537021962110f, 0.9821627170422238f, 0.9821717296312794f,
  0.9821807399633572f, 0.9821897480384362f, 0.9821987538564959f, 0.9822077574175155f,
  0.9822167587214745f, 0.9822257577683520f, 0.9822347545581275f, 0.9822437490907802f,
  0.9822527413662894f, 0.9822617313846346f, 0.9822707191457949f, 0.9822797046497500f,
  0.9822886878964788f, 0.9822976688859610f, 0.9823066476181760f, 0.9823156240931029f,
  0.9823245983107212f, 0.9823335702710103f, 0.9823425399739496f, 0.9823515074195184f,
  0.9823604726076962f, 0.9823694355384622f, 0.9823783962117961f, 0.9823873546276771f,
  0.9823963107860847f, 0.9824052646869983f, 0.9824142163303973f, 0.9824231657162611f,
  0.9824321128445692f, 0.9824410577153010f, 0.9824500003284359f, 0.9824589406839536f,
  0.9824678787818332f, 0.9824768146220544f, 0.9824857482045966f, 0.9824946795294391f,
  0.9825036085965617f, 0.9825125354059437f, 0.9825214599575647f, 0.9825303822514040f,
  0.9825393022874412f, 0.9825482200656559f, 0.9825571355860274f, 0.9825660488485354f,
  0.9825749598531592f, 0.9825838685998787f, 0.9825927750886729f, 0.9826016793195218f,
  0.9826105812924048f, 0.9826194810073013f, 0.9826283784641910f, 0.9826372736630534f,
  0.9826461666038681f, 0.9826550572866146f, 0.9826639457112725f, 0.9826728318778214f,
  0.9826817157862409f, 0.9826905974365104f, 0.9826994768286097f, 0.9827083539625184f,
  0.9827172288382160f, 0.9827261014556821f, 0.9827349718148963f, 0.9827438399158384f,
  0.9827527057584878f, 0.9827615693428242f, 0.9827704306688273f, 0.9827792897364767f,
  0.9827881465457520f, 0.9827970010966328f, 0.9828058533890989f, 0.9828147034231298f,
  0.9828235511987052f, 0.9828323967158049f, 0.9828412399744085f, 0.9828500809744958f,
  0.9828589197160461f, 0.9828677561990394f, 0.9828765904234554f, 0.9828854223892738f,
  0.9828942520964741f, 0.9829030795450362f, 0.9829119047349397f, 0.9829207276661645f,
  0.9829295483386901f, 0.9829383667524965f, 0.9829471829075630f, 0.9829559968038698f,
  0.9829648084413964f, 0.9829736178201227f, 0.9829824249400283f, 0.9829912298010930f,
  0.9830000324032966f, 0.9830088327466189f, 0.9830176308310397f, 0.9830264266565386f,
  0.9830352202230956f, 0.9830440115306904f, 0.9830528005793028f, 0.9830615873689127f,
  0.9830703718994996f, 0.9830791541710437f, 0.9830879341835247f, 0.9830967119369223f,
  0.9831054874312163f, 0.9831142606663867f, 0.9831230316424133f, 0.9831318003592759f,
  0.9831405668169545f, 0.9831493310154288f, 0.9831580929546785f, 0.9831668526346838f,
  0.9831756100554244f, 0.9831843652168802f, 0.9831931181190311f, 0.9832018687618570f,
  0.9832106171453376f, 0.9832193632694531f, 0.9832281071341833f, 0.9832368487395080f,
  0.9832455880854071f, 0.9832543251718606f, 0.9832630599988486f, 0.9832717925663507f,
  0.9832805228743470f, 0.9832892509228174f, 0.9832979767117419f, 0.9833067002411003f,
  0.9833154215108728f, 0.9833241405210392f, 0.9833328572715794f, 0.9833415717624735f,
  0.9833502839937015f, 0.9833589939652433f, 0.9833677016770788f, 0.9833764071291881f,
  0.9833851103215512f, 0.9833938112541482f, 0.9834025099269588f, 0.9834112063399633f,
  0.9834199004931415f, 0.9834285923864736f, 0.9834372820199396f, 0.9834459693935195f,
  0.9834546545071933f, 0.9834633373609410f, 0.9834720179547428f, 0.9834806962885787f,
  0.9834893723624287f, 0.9834980461762729f, 0.9835067177300914f, 0.9835153870238641f,
  0.9835240540575713f, 0.9835327188311930f, 0.9835413813447093f, 0.9835500415981001f,
  0.9835586995913459f, 0.9835673553244265f, 0.9835760087973220f, 0.9835846600100128f,
  0.9835933089624787f, 0.9836019556546999f, 0.9836106000866567f, 0.9836192422583291f,
  0.9836278821696972f, 0.9836365198207412f, 0.9836451552114412f, 0.9836537883417776f,
  0.9836624192117303f, 0.9836710478212795f, 0.9836796741704054f, 0.9836882982590882f,
  0.9836969200873080f, 0.9837055396550453f, 0.9837141569622798f, 0.9837227720089921f,
  0.9837313847951621f, 0.9837399953207703f, 0.9837486035857966f, 0.9837572095902216f,
  0.9837658133340252f, 0.9837744148171877f, 0.9837830140396896f, 0.9837916110015107f,
  0.9838002057026316f, 0.9838087981430323f, 0.9838173883226932f, 0.9838259762415946f,
  0.9838345618997166f, 0.9838431452970396f, 0.9838517264335439f, 0.9838603053092096f,
  0.9838688819240172f, 0.9838774562779469f, 0.9838860283709789f, 0.9838945982030937f,
  0.9839031657742715f, 0.9839117310844925f, 0.9839202941337373f, 0.9839288549219859f,
  0.9839374134492189f, 0.9839459697154165f, 0.9839545237205590f, 0.9839630754646268f,
  0.9839716249476004f, 0.9839801721694598f, 0.9839887171301857f, 0.9839972598297582f,
  0.9840058002681579f, 0.9840143384453649f, 0.9840228743613599f, 0.9840314080161231f,
  0.9840399394096350f, 0.9840484685418758f, 0.9840569954128261f, 0.9840655200224662f,
  0.9840740423707764f, 0.9840825624577375f, 0.9840910802833295f, 0.9840995958475330f,
  0.9841081091503285f, 0.9841166201916964f, 0.9841251289716171f, 0.9841336354900709f,
  0.9841421397470386f, 0.9841506417425003f, 0.9841591414764368f, 0.9841676389488283f,
  0.9841761341596553f, 0.9841846271088985f, 0.9841931177965382f, 0.9842016062225548f,
  0.9842100923869290f, 0.9842185762896413f, 0.9842270579306720f, 0.9842355373100018f,
  0.9842440144276111f, 0.9842524892834805f, 0.9842609618775905f, 0.9842694322099216f,
  0.9842779002804544f, 0.9842863660891693f, 0.9842948296360470f, 0.9843032909210679f,
  0.9843117499442128f, 0.9843202067054621f, 0.9843286612047962f, 0.9843371134421960f,
  0.9843455634176419f, 0.9843540111311145f, 0.9843624565825945f, 0.9843708997720623f,
  0.9843793406994985f, 0.9843877793648840f, 0.9843962157681990f, 0.9844046499094244f,
  0.9844130817885407f, 0.9844215114055286f, 0.9844299387603687f, 0.9844383638530416f,
  0.9844467866835279f, 0.9844552072518085f, 0.9844636255578636f, 0.9844720416016742f,
  0.9844804553832209f, 0.9844888669024844f, 0.9844972761594452f, 0.9845056831540842f,
  0.9845140878863818f, 0.9845224903563189f, 0.9845308905638762f, 0.9845392885090343f,
  0.9845476841917740f, 0.9845560776120759f, 0.9845644687699208f, 0.9845728576652892f,
  0.9845812442981622f, 0.9845896286685203f, 0.9845980107763442f, 0.9846063906216147f,
  0.9846147682043126f, 0.9846231435244186f, 0.9846315165819134f, 0.9846398873767778f,
  0.9846482559089926f, 0.9846566221785386f, 0.9846649861853963f, 0.9846733479295469f,
  0.9846817074109709f, 0.9846900646296493f, 0.9846984195855626f, 0.9847067722786917f,
  0.9847151227090176f, 0.9847234708765210f, 0.9847318167811827f, 0.9847401604229835f,
  0.9847485018019042f, 0.9847568409179257f, 0.9847651777710289f, 0.9847735123611945f,
  0.9847818446884034f, 0.9847901747526364f, 0.9847985025538745f, 0.9848068280920984f,
  0.9848151513672891f, 0.9848234723794275f, 0.9848317911284943f, 0.9848401076144705f,
  0.9848484218373370f, 0.9848567337970747f, 0.9848650434936644f, 0.9848733509270871f,
  0.9848816560973237f, 0.9848899590043551f, 0.9848982596481621f, 0.9849065580287260f,
  0.9849148541460272f, 0.9849231480000471f, 0.9849314395907663f, 0.9849397289181661f,
  0.9849480159822270f, 0.9849563007829304f, 0.9849645833202570f, 0.9849728635941878f,
  0.9849811416047040f, 0.9849894173517861f, 0.9849976908354156f, 0.9850059620555731f,
  0.9850142310122398f, 0.9850224977053967f, 0.9850307621350247f, 0.9850390243011049f,
  0.9850472842036182f, 0.9850555418425457f, 0.9850637972178685f, 0.9850720503295676f,
  0.9850803011776238f, 0.9850885497620184f, 0.9850967960827324f, 0.9851050401397468f,
  0.9851132819330426f, 0.9851215214626011f, 0.9851297587284030f, 0.9851379937304298f,
  0.9851462264686622f, 0.9851544569430815f, 0.9851626851536687f, 0.9851709111004048f,
  0.9851791347832710f, 0.9851873562022486f, 0.9851955753573184f, 0.9852037922484616f,
  0.9852120068756595f, 0.9852202192388928f, 0.9852284293381431f, 0.9852366371733913f,
  0.9852448427446185f, 0.9852530460518060f, 0.9852612470949349f, 0.9852694458739862f,
  0.9852776423889412f, 0.9852858366397811f, 0.9852940286264870f, 0.9853022183490401f,
  0.9853104058074216f, 0.9853185910016126f, 0.9853267739315943f, 0.9853349545973480f,
  0.9853431329988548f, 0.9853513091360959f, 0.9853594830090527f, 0.9853676546177061f,
  0.9853758239620377f, 0.9853839910420285f, 0.9853921558576596f, 0.9854003184089126f,
  0.9854084786957684f, 0.9854166367182084f, 0.9854247924762140f, 0.9854329459697660f,
  0.9854410971988462f, 0.9854492461634355f, 0.9854573928635154f, 0.9854655372990672f,
  0.9854736794700718f, 0.9854818193765109f, 0.9854899570183657f, 0.9854980923956174f,
  0.9855062255082473f, 0.9855143563562369f, 0.9855224849395673f, 0.9855306112582198f,
  0.9855387353121761f, 0.9855468571014171f, 0.9855549766259243f, 0.9855630938856791f,
  0.9855712088806627f, 0.9855793216108567f, 0.9855874320762422f, 0.9855955402768006f,
  0.9856036462125134f, 0.9856117498833620f, 0.9856198512893275f, 0.9856279504303915f,
  0.9856360473065354f, 0.9856441419177406f, 0.9856522342639884f, 0.9856603243452603f,
  0.9856684121615376f, 0.9856764977128017f, 0.9856845809990342f, 0.9856926620202164f,
  0.9857007407763299f, 0.9857088172673557f, 0.9857168914932757f, 0.9857249634540711f,
  0.9857330331497235f, 0.9857411005802142f, 0.9857491657455248f, 0.9857572286456366f,
  0.9857652892805313f, 0.9857733476501903f, 0.9857814037545949f, 0.9857894575937268f,
  0.9857975091675674f, 0.9858055584760982f, 0.9858136055193008f, 0.9858216502971565f,
  0.9858296928096471f, 0.9858377330567538f, 0.9858457710384584f, 0.9858538067547423f,
  0.9858618402055870f, 0.9858698713909740f, 0.9858779003108852f, 0.9858859269653016f,
  0.9858939513542052f, 0.9859019734775774f, 0.9859099933353997f, 0.9859180109276537f,
  0.9859260262543211f, 0.9859340393153834f, 0.9859420501108221f, 0.9859500586406189f,
  0.9859580649047555f, 0.9859660689032131f, 0.9859740706359738f, 0.9859820701030189f,
  0.9859900673043301f, 0.9859980622398891f, 0.9860060549096773f, 0.9860140453136766f,
  0.9860220334518686f, 0.9860300193242347f, 0.9860380029307568f, 0.9860459842714165f,
  0.9860539633461954f, 0.9860619401550753f, 0.9860699146980376f, 0.9860778869750643f,
  0.9860858569861368f, 0.9860938247312370f, 0.9861017902103464f, 0.9861097534234469f,
  0.9861177143705201f, 0.9861256730515476f, 0.9861336294665113f, 0.9861415836153928f,
  0.9861495354981739f, 0.9861574851148361f, 0.9861654324653615f, 0.9861733775497317f,
  0.9861813203679283f, 0.9861892609199331f, 0.9861971992057279f, 0.9862051352252944f,
  0.9862130689786145f, 0.9862210004656699f, 0.9862289296864423f, 0.9862368566409135f,
  0.9862447813290655f, 0.9862527037508797f, 0.9862606239063382f, 0.9862685417954228f,
  0.9862764574181150f, 0.9862843707743970f, 0.9862922818642503f, 0.9863001906876570f,
  0.9863080972445987f, 0.9863160015350573f, 0.9863239035590146f, 0.9863318033164525f,
  0.9863397008073530f, 0.9863475960316976f, 0.9863554889894685f, 0.9863633796806474f,
  0.9863712681052160f, 0.9863791542631565f, 0.9863870381544506f, 0.9863949197790801f,
  0.9864027991370272f, 0.9864106762282735f, 0.9864185510528010f, 0.9864264236105915f,
  0.9864342939016271f, 0.9864421619258896f, 0.9864500276833610f, 0.9864578911740230f,
  0.9864657523978579f, 0.9864736113548473f, 0.9864814680449734f, 0.9864893224682179f,
  0.9864971746245629f, 0.9865050245139902f, 0.9865128721364821f, 0.9865207174920202f,
  0.9865285605805867f, 0.9865364014021635f, 0.9865442399567326f, 0.9865520762442759f,
  0.9865599102647754f, 0.9865677420182133f, 0.9865755715045714f, 0.9865833987238318f,
  0.9865912236759764f, 0.9865990463609874f, 0.9866068667788467f, 0.9866146849295364f,
  0.9866225008130385f, 0.9866303144293349f, 0.9866381257784078f, 0.9866459348602393f,
  0.9866537416748113f, 0.9866615462221061f, 0.9866693485021055f, 0.9866771485147917f,
  0.9866849462601467f, 0.9866927417381527f, 0.9867005349487916f, 0.9867083258920458f,
  0.9867161145678971f, 0.9867239009763277f, 0.9867316851173198f, 0.9867394669908554f,
  0.9867472465969165f, 0.9867550239354855f, 0.9867627990065444f, 0.9867705718100753f,
  0.9867783423460604f, 0.9867861106144818f, 0.9867938766153217f, 0.9868016403485622f,
  0.9868094018141854f, 0.9868171610121736f, 0.9868249179425090f, 0.9868326726051736f,
  0.9868404250001497f, 0.9868481751274194f, 0.9868559229869650f, 0.9868636685787686f,
  0.9868714119028125f, 0.9868791529590787f, 0.9868868917475497f, 0.9868946282682075f,
  0.9869023625210345f, 0.9869100945060127f, 0.9869178242231245f, 0.9869255516723521f,
  0.9869332768536777f, 0.9869409997670836f, 0.9869487204125521f, 0.9869564387900653f,
  0.9869641548996057f, 0.9869718687411553f, 0.9869795803146966f, 0.9869872896202116f,
  0.9869949966576830f, 0.9870027014270927f, 0.9870104039284232f, 0.9870181041616567f,
  0.9870258021267756f, 0.9870334978237622f, 0.9870411912525987f, 0.9870488824132675f,
  0.9870565713057510f, 0.9870642579300315f, 0.9870719422860912f, 0.9870796243739125f,
  0.9870873041934779f, 0.9870949817447696f, 0.9871026570277700f, 0.9871103300424614f,
  0.9871180007888263f, 0.9871256692668470f, 0.9871333354765057f, 0.9871409994177851f,
  0.9871486610906676f, 0.9871563204951352f, 0.9871639776311706f, 0.9871716324987563f,
  0.9871792850978743f, 0.9871869354285074f, 0.9871945834906379f, 0.9872022292842483f,
  0.9872098728093208f, 0.9872175140658380f, 0.9872251530537824f, 0.9872327897731363f,
  0.9872404242238823f, 0.9872480564060027f, 0.9872556863194800f, 0.9872633139642968f,
  0.9872709393404354f, 0.9872785624478785f, 0.9872861832866082f, 0.9872938018566074f,
  0.9873014181578584f, 0.9873090321903436f, 0.9873166439540457f, 0.9873242534489471f,
  0.9873318606750304f, 0.9873394656322780f, 0.9873470683206726f, 0.9873546687401965f,
  0.9873622668908324f, 0.9873698627725628f, 0.9873774563853701f, 0.9873850477292372f,
  0.9873926368041462f, 0.9874002236100801f, 0.9874078081470211f, 0.9874153904149521f,
  0.9874229704138554f, 0.9874305481437137f, 0.9874381236045096f, 0.9874456967962256f,
  0.9874532677188446f, 0.9874608363723487f, 0.9874684027567209f, 0.9874759668719437f,
  0.9874835287179997f, 0.9874910882948716f, 0.9874986456025419f, 0.9875062006409933f,
  0.9875137534102084f, 0.9875213039101699f, 0.9875288521408605f, 0.9875363981022627f,
  0.9875439417943592f, 0.9875514832171328f, 0.9875590223705661f, 0.9875665592546418f,
  0.9875740938693424f, 0.9875816262146507f, 0.9875891562905496f, 0.9875966840970214f,
  0.9876042096340492f, 0.9876117329016153f, 0.9876192538997027f, 0.9876267726282941f,
  0.9876342890873722f, 0.9876418032769196f, 0.9876493151969192f, 0.9876568248473536f,
  0.9876643322282057f, 0.9876718373394582f, 0.9876793401810936f, 0.9876868407530951f,
  0.9876943390554451f, 0.9877018350881265f, 0.9877093288511222f, 0.9877168203444147f,
  0.9877243095679870f, 0.9877317965218219f, 0.9877392812059020f, 0.9877467636202103f,
  0.9877542437647295f, 0.9877617216394425f, 0.9877691972443321f, 0.9877766705793810f,
  0.9877841416445722f, 0.9877916104398884f, 0.9877990769653124f, 0.9878065412208271f,
  0.9878140032064155f, 0.9878214629220603f, 0.9878289203677444f, 0.9878363755434506f,
  0.9878438284491617f, 0.9878512790848608f, 0.9878587274505307f, 0.9878661735461542f,
  0.9878736173717142f, 0.9878810589271937f, 0.9878884982125755f, 0.9878959352278426f,
  0.9879033699729778f, 0.9879108024479640f, 0.9879182326527842f, 0.9879256605874214f,
  0.9879330862518584f, 0.9879405096460782f, 0.9879479307700636f, 0.9879553496237977f,
  0.9879627662072634f, 0.9879701805204438f, 0.9879775925633216f, 0.9879850023358800f,
  0.9879924098381019f, 0.9879998150699701f, 0.9880072180314678f, 0.9880146187225780f,
  0.9880220171432835f, 0.9880294132935675f, 0.9880368071734129f, 0.9880441987828028f,
  0.9880515881217201f, 0.9880589751901478f, 0.9880663599880690f, 0.9880737425154668f,
  0.9880811227723241f, 0.9880885007586240f, 0.9880958764743496f, 0.9881032499194838f,
  0.9881106210940098f, 0.9881179899979106f, 0.9881253566311693f, 0.9881327209937689f,
  0.9881400830856926f, 0.9881474429069232f, 0.9881548004574442f, 0.9881621557372384f,
  0.9881695087462891f, 0.9881768594845792f, 0.9881842079520919f, 0.9881915541488103f,
  0.9881988980747176f, 0.9882062397297968f, 0.9882135791140311f, 0.9882209162274036f,
  0.9882282510698974f, 0.9882355836414959f, 0.9882429139421819f, 0.9882502419719387f,
  0.9882575677307495f, 0.9882648912185974f, 0.9882722124354657f, 0.9882795313813374f,
  0.9882868480561957f, 0.9882941624600240f, 0.9883014745928053f, 0.9883087844545227f,
  0.9883160920451598f, 0.9883233973646993f, 0.9883307004131248f, 0.9883380011904194f,
  0.9883452996965661f, 0.9883525959315486f, 0.9883598898953497f, 0.9883671815879529f,
  0.9883744710093413f, 0.9883817581594981f, 0.9883890430384068f, 0.9883963256460504f,
  0.9884036059824124f, 0.9884108840474758f, 0.9884181598412242f, 0.9884254333636405f,
  0.9884327046147083f, 0.9884399735944108f, 0.9884472403027312f, 0.9884545047396529f,
  0.9884617669051593f, 0.9884690267992334f, 0.9884762844218589f, 0.9884835397730188f,
  0.9884907928526966f, 0.9884980436608757f, 0.9885052921975392f, 0.9885125384626706f,
  0.9885197824562533f, 0.9885270241782704f, 0.9885342636287057f, 0.9885415008075421f,
  0.9885487357147632f, 0.9885559683503524f, 0.9885631987142930f, 0.9885704268065684f,
  0.9885776526271620f, 0.9885848761760573f, 0.9885920974532375f, 0.9885993164586860f,
  0.9886065331923864f, 0.9886137476543222f, 0.9886209598444764f, 0.9886281697628329f,
  0.9886353774093748f, 0.9886425827840856f, 0.9886497858869489f, 0.9886569867179479f,
  0.9886641852770663f, 0.9886713815642874f, 0.9886785755795947f, 0.9886857673229718f,
  0.9886929567944019f, 0.9887001439938687f, 0.9887073289213556f, 0.9887145115768461f,
  0.9887216919603238f, 0.9887288700717720f, 0.9887360459111744f, 0.9887432194785143f,
  0.9887503907737754f, 0.9887575597969411f, 0.9887647265479950f, 0.9887718910269206f,
  0.9887790532337015f, 0.9887862131683212f, 0.9887933708307632f, 0.9888005262210111f,
  0.9888076793390485f, 0.9888148301848587f, 0.9888219787584257f, 0.9888291250597327f,
  0.9888362690887635f, 0.9888434108455016f, 0.9888505503299306f, 0.9888576875420341f,
  0.9888648224817956f, 0.9888719551491990f, 0.9888790855442275f, 0.9888862136668650f,
  0.9888933395170951f, 0.9889004630949013f, 0.9889075844002673f, 0.9889147034331768f,
  0.9889218201936132f, 0.9889289346815605f, 0.9889360468970021f, 0.9889431568399216f,
  0.9889502645103030f, 0.9889573699081297f, 0.9889644730333853f, 0.9889715738860537f,
  0.9889786724661185f, 0.9889857687735634f, 0.9889928628083720f, 0.9889999545705280f,
  0.9890070440600153f, 0.9890141312768175f, 0.9890212162209181f, 0.9890282988923011f,
  0.9890353792909503f, 0.9890424574168490f, 0.9890495332699815f, 0.9890566068503310f,
  0.9890636781578815f, 0.9890707471926169f, 0.9890778139545207f, 0.9890848784435767f,
  0.9890919406597688f, 0.9890990006030806f, 0.9891060582734960f, 0.9891131136709987f,
  0.9891201667955727f, 0.9891272176472015f, 0.9891342662258691f, 0.9891413125315591f,
  0.9891483565642556f, 0.9891553983239422f, 0.9891624378106026f, 0.9891694750242210f,
  0.9891765099647810f, 0.9891835426322664f, 0.9891905730266611f, 0.9891976011479489f,
  0.9892046269961138f, 0.9892116505711395f, 0.9892186718730098f, 0.9892256909017088f,
  0.9892327076572200f, 0.9892397221395278f, 0.9892467343486157f, 0.9892537442844677f,
  0.9892607519470676f, 0.9892677573363994f, 0.9892747604524470f, 0.9892817612951943f,
  0.9892887598646252f, 0.9892957561607235f, 0.9893027501834734f, 0.9893097419328585f,
  0.9893167314088630f, 0.9893237186114706f, 0.9893307035406655f, 0.9893376861964315f,
  0.9893446665787526f, 0.9893516446876127f, 0.9893586205229958f, 0.9893655940848859f,
  0.9893725653732670f, 0.9893795343881230f, 0.9893865011294378f, 0.9893934655971957f,
  0.9894004277913804f, 0.9894073877119760f, 0.9894143453589664f, 0.9894213007323359f,
  0.9894282538320683f, 0.9894352046581476f, 0.9894421532105580f, 0.9894490994892833f,
  0.9894560434943077f, 0.9894629852256152f, 0.9894699246831898f, 0.9894768618670157f,
  0.9894837967770768f, 0.9894907294133573f, 0.9894976597758410f, 0.9895045878645123f,
  0.9895115136793552f, 0.9895184372203537f, 0.9895253584874919f, 0.9895322774807540f,
  0.9895391942001239f, 0.9895461086455859f, 0.9895530208171240f, 0.9895599307147224f,
  0.9895668383383651f, 0.9895737436880364f, 0.9895806467637203f, 0.9895875475654009f,
  0.9895944460930625f, 0.9896013423466891f, 0.9896082363262649f, 0.9896151280317741f,
  0.9896220174632008f, 0.9896289046205293f, 0.9896357895037435f, 0.9896426721128280f,
  0.9896495524477665f, 0.9896564305085436f, 0.9896633062951432f, 0.9896701798075497f,
  0.9896770510457472f, 0.9896839200097199f, 0.9896907866994522f, 0.9896976511149280f,
  0.9897045132561318f, 0.9897113731230477f, 0.9897182307156600f, 0.9897250860339529f,
  0.9897319390779106f, 0.9897387898475174f, 0.9897456383427576f, 0.9897524845636155f,
  0.9897593285100752f, 0.9897661701821211f, 0.9897730095797375f, 0.9897798467029086f,
  0.9897866815516186f, 0.9897935141258520f, 0.9898003444255932f, 0.9898071724508261f,
  0.9898139982015353f, 0.9898208216777049f, 0.9898276428793195f, 0.9898344618063633f,
  0.9898412784588205f, 0.9898480928366756f, 0.9898549049399129f, 0.9898617147685168f,
  0.9898685223224716f, 0.9898753276017616f, 0.9898821306063712f, 0.9898889313362847f,
  0.9898957297914867f, 0.9899025259719613f, 0.9899093198776930f, 0.9899161115086663f,
  0.9899229008648655f, 0.9899296879462749f, 0.9899364727528791f, 0.9899432552846623f,
  0.9899500355416090f, 0.9899568135237037f, 0.9899635892309308f, 0.9899703626632745f,
  0.9899771338207196f, 0.9899839027032503f, 0.9899906693108511f, 0.9899974336435066f,
  0.9900041957012009f, 0.9900109554839188f, 0.9900177129916446f, 0.9900244682243629f,
  0.9900312211820580f, 0.9900379718647144f, 0.9900447202723168f, 0.9900514664048495f,
  0.9900582102622971f, 0.9900649518446440f, 0.9900716911518748f, 0.9900784281839740f,
  0.9900851629409260f, 0.9900918954227155f, 0.9900986256293269f, 0.9901053535607448f,
  0.9901120792169538f, 0.9901188025979383f, 0.9901255237036829f, 0.9901322425341721f,
  0.9901389590893906f, 0.9901456733693229f, 0.9901523853739537f, 0.9901590951032673f,
  0.9901658025572484f, 0.9901725077358816f, 0.9901792106391516f, 0.9901859112670429f,
  0.9901926096195400f, 0.9901993056966277f, 0.9902059994982906f, 0.9902126910245131f,
  0.9902193802752800f, 0.9902260672505759f, 0.9902327519503855f, 0.9902394343746933f,
  0.9902461145234840f, 0.9902527923967424f, 0.9902594679944529f, 0.9902661413166002f,
  0.9902728123631691f, 0.9902794811341442f, 0.9902861476295103f, 0.9902928118492518f,
  0.9902994737933536f, 0.9903061334618004f, 0.9903127908545768f, 0.9903194459716675f,
  0.9903260988130573f, 0.9903327493787309f, 0.9903393976686730f, 0.9903460436828683f,
  0.9903526874213013f, 0.9903593288839573f, 0.9903659680708204f, 0.9903726049818758f,
  0.9903792396171082f, 0.9903858719765021f, 0.9903925020600424f, 0.9903991298677138f,
  0.9904057553995013f, 0.9904123786553894f, 0.9904189996353631f, 0.9904256183394070f,
  0.9904322347675060f, 0.9904388489196448f, 0.9904454607958083f, 0.9904520703959814f,
  0.9904586777201486f, 0.9904652827682950f, 0.9904718855404053f, 0.9904784860364644f,
  0.9904850842564571f, 0.9904916802003682f, 0.9904982738681825f, 0.9905048652598849f,
  0.9905114543754603f, 0.9905180412148935f, 0.9905246257781695f, 0.9905312080652728f,
  0.9905377880761888f, 0.9905443658109020f, 0.9905509412693975f, 0.9905575144516598f,
  0.9905640853576744f, 0.9905706539874257f, 0.9905772203408989f, 0.9905837844180787f,
  0.9905903462189501f, 0.9905969057434981f, 0.9906034629917077f, 0.9906100179635634f,
  0.9906165706590506f, 0.9906231210781541f, 0.9906296692208587f, 0.9906362150871496f,
  0.9906427586770116f, 0.9906492999904296f, 0.9906558390273887f, 0.9906623757878739f,
  0.9906689102718700f, 0.9906754424793622f, 0.9906819724103354f, 0.9906885000647745f,
  0.9906950254426646f, 0.9907015485439907f, 0.9907080693687379f, 0.9907145879168909f,
  0.9907211041884352f, 0.9907276181833554f, 0.9907341299016367f, 0.9907406393432641f,
  0.9907471465082227f, 0.9907536513964975f, 0.9907601540080736f, 0.9907666543429360f,
  0.9907731524010698f, 0.9907796481824601f, 0.9907861416870919f, 0.9907926329149502f,
  0.9907991218660204f, 0.9908056085402872f, 0.9908120929377360f, 0.9908185750583517f,
  0.9908250549021195f, 0.9908315324690244f, 0.9908380077590517f, 0.9908444807721863f,
  0.9908509515084136f, 0.9908574199677186f, 0.9908638861500862f, 0.9908703500555019f,
  0.9908768116839508f, 0.9908832710354177f, 0.9908897281098882f, 0.9908961829073473f,
  0.9909026354277800f, 0.9909090856711716f, 0.9909155336375075f, 0.9909219793267725f,
  0.9909284227389520f, 0.9909348638740311f, 0.9909413027319951f, 0.9909477393128292f,
  0.9909541736165185f, 0.9909606056430482f, 0.9909670353924038f, 0.9909734628645702f,
  0.9909798880595327f, 0.9909863109772767f, 0.9909927316177873f, 0.9909991499810498f,
  0.9910055660670494f, 0.9910119798757713f, 0.9910183914072009f, 0.9910248006613235f,
  0.9910312076381241f, 0.9910376123375882f, 0.9910440147597012f, 0.9910504149044481f,
  0.9910568127718143f, 0.9910632083617853f, 0.9910696016743460f, 0.9910759927094821f,
  0.9910823814671786f, 0.9910887679474211f, 0.9910951521501947f, 0.9911015340754848f,
  0.9911079137232768f, 0.9911142910935560f, 0.9911206661863078f, 0.9911270390015173f,
  0.9911334095391702f, 0.9911397777992517f, 0.9911461437817470f, 0.9911525074866419f,
  0.9911588689139214f, 0.9911652280635710f, 0.9911715849355760f, 0.9911779395299219f,
  0.9911842918465942f, 0.9911906418855781f, 0.9911969896468591f, 0.9912033351304226f,
  0.9912096783362541f, 0.9912160192643388f, 0.9912223579146623f, 0.9912286942872101f,
  0.9912350283819674f, 0.9912413601989200f, 0.9912476897380529f, 0.9912540169993519f,
  0.9912603419828024f, 0.9912666646883898f, 0.9912729851160995f, 0.9912793032659172f,
  0.9912856191378282f, 0.9912919327318180f, 0.9912982440478721f, 0.9913045530859761f,
  0.9913108598461154f, 0.9913171643282755f, 0.9913234665324420f, 0.9913297664586004f,
  0.9913360641067361f, 0.9913423594768347f, 0.9913486525688818f, 0.9913549433828629f,
  0.9913612319187635f, 0.9913675181765692f, 0.9913738021562655f, 0.9913800838578380f,
  0.9913863632812723f, 0.9913926404265540f, 0.9913989152936684f, 0.9914051878826015f,
  0.9914114581933385f, 0.9914177262258653f, 0.9914239919801673f, 0.9914302554562301f,
  0.9914365166540394f, 0.9914427755735808f, 0.9914490322148399f, 0.9914552865778024f,
  0.9914615386624538f, 0.9914677884687797f, 0.9914740359967659f, 0.9914802812463979f,
  0.9914865242176615f, 0.9914927649105422f, 0.9914990033250257f, 0.9915052394610978f,
  0.9915114733187439f, 0.9915177048979500f, 0.9915239341987016f, 0.9915301612209843f,
  0.9915363859647839f, 0.9915426084300861f, 0.9915488286168765f, 0.9915550465251410f,
  0.9915612621548653f, 0.9915674755060349f, 0.9915736865786356f, 0.9915798953726532f,
  0.9915861018880735f, 0.9915923061248820f, 0.9915985080830647f, 0.9916047077626072f,
  0.9916109051634954f, 0.9916171002857148f, 0.9916232931292512f, 0.9916294836940908f,
  0.9916356719802187f, 0.9916418579876213f, 0.9916480417162840f, 0.9916542231661927f,
  0.9916604023373332f, 0.9916665792296914f, 0.9916727538432529f, 0.9916789261780037f,
  0.9916850962339295f, 0.9916912640110161f, 0.9916974295092494f, 0.9917035927286153f,
  0.9917097536690995f, 0.9917159123306879f, 0.9917220687133663f, 0.9917282228171207f,
  0.9917343746419368f, 0.9917405241878006f, 0.9917466714546977f, 0.9917528164426144f,
  0.9917589591515361f, 0.9917650995814491f, 0.9917712377323390f, 0.9917773736041918f,
  0.9917835071969935f, 0.9917896385107299f, 0.9917957675453869f, 0.9918018943009504f,
  0.9918080187774064f, 0.9918141409747409f, 0.9918202608929396f, 0.9918263785319885f,
  0.9918324938918738f, 0.9918386069725811f, 0.9918447177740964f, 0.9918508262964060f,
  0.9918569325394955f, 0.9918630365033509f, 0.9918691381879583f, 0.9918752375933038f,
  0.9918813347193730f, 0.9918874295661523f, 0.9918935221336274f, 0.9918996124217844f,
  0.9919057004306093f, 0.9919117861600882f, 0.9919178696102070f, 0.9919239507809517f,
  0.9919300296723085f, 0.9919361062842632f, 0.9919421806168021f, 0.9919482526699109f,
  0.9919543224435760f, 0.9919603899377832f, 0.9919664551525187f, 0.9919725180877684f,
  0.9919785787435186f, 0.9919846371197553f, 0.9919906932164644f, 0.9919967470336321f,
  0.9920027985712445f, 0.9920088478292878f, 0.9920148948077480f, 0.9920209395066111f,
  0.9920269819258634f, 0.9920330220654908f, 0.9920390599254796f, 0.9920450955058159f,
  0.9920511288064857f, 0.9920571598274753f, 0.9920631885687708f, 0.9920692150303584f,
  0.9920752392122241f, 0.9920812611143541f, 0.9920872807367346f, 0.9920932980793518f,
  0.9920993131421918f, 0.9921053259252408f, 0.9921113364284849f, 0.9921173446519106f,
  0.9921233505955037f, 0.9921293542592506f, 0.9921353556431376f, 0.9921413547471506f,
  0.9921473515712761f, 0.9921533461155002f, 0.9921593383798092f, 0.9921653283641892f,
  0.9921713160686265f, 0.9921773014931075f, 0.9921832846376182f, 0.9921892655021449f,
  0.9921952440866739f, 0.9922012203911915f, 0.9922071944156839f, 0.9922131661601374f,
  0.9922191356245385f, 0.9922251028088730f, 0.9922310677131275f, 0.9922370303372884f,
  0.9922429906813417f, 0.9922489487452738f, 0.9922549045290712f, 0.9922608580327199f,
  0.9922668092562066f, 0.9922727581995172f, 0.9922787048626384f, 0.9922846492455563f,
  0.9922905913482574f, 0.9922965311707278f, 0.9923024687129541f, 0.9923084039749226f,
  0.9923143369566196f, 0.9923202676580315f, 0.9923261960791447f, 0.9923321222199455f,
  0.9923380460804204f, 0.9923439676605557f, 0.9923498869603377f, 0.9923558039797530f,
  0.9923617187187879f, 0.9923676311774288f, 0.9923735413556620f, 0.9923794492534742f,
  0.9923853548708517f, 0.9923912582077808f, 0.9923971592642481f, 0.9924030580402400f,
  0.9924089545357428f, 0.9924148487507432f, 0.9924207406852275f, 0.9924266303391821f,
  0.9924325177125936f, 0.9924384028054485f, 0.9924442856177330f, 0.9924501661494340f,
  0.9924560444005377f, 0.9924619203710306f, 0.9924677940608994f, 0.9924736654701303f,
  0.9924795345987100f, 0.9924854014466250f, 0.9924912660138618f, 0.9924971283004069f,
  0.9925029883062469f, 0.9925088460313682f, 0.9925147014757576f, 0.9925205546394014f,
  0.9925264055222861f, 0.9925322541243985f, 0.9925381004457250f, 0.9925439444862522f,
  0.9925497862459666f, 0.9925556257248549f, 0.9925614629229037f, 0.9925672978400994f,
  0.9925731304764288f, 0.9925789608318784f, 0.9925847889064348f, 0.9925906147000845f,
  0.9925964382128143f, 0.9926022594446108f, 0.9926080783954604f, 0.9926138950653500f,
  0.9926197094542661f, 0.9926255215621955f, 0.9926313313891246f, 0.9926371389350401f,
  0.9926429441999288f, 0.9926487471837773f, 0.9926545478865723f, 0.9926603463083002f,
  0.9926661424489480f, 0.9926719363085023f, 0.9926777278869496f, 0.9926835171842769f,
  0.9926893042004707f, 0.9926950889355177f, 0.9927008713894048f, 0.9927066515621185f,
  0.9927124294536455f, 0.9927182050639726f, 0.9927239783930866f, 0.9927297494409740f,
  0.9927355182076218f, 0.9927412846930167f, 0.9927470488971454f, 0.9927528108199946f,
  0.9927585704615511f, 0.9927643278218017f, 0.9927700829007331f, 0.9927758356983322f,
  0.9927815862145857f, 0.9927873344494802f, 0.9927930804030028f, 0.9927988240751402f,
  0.9928045654658791f, 0.9928103045752065f, 0.9928160414031090f, 0.9928217759495734f,
  0.9928275082145868f, 0.9928332381981358f, 0.9928389659002073f, 0.9928446913207881f,
  0.9928504144598651f, 0.9928561353174251f, 0.9928618538934549f, 0.9928675701879416f,
  0.9928732842008717f, 0.9928789959322325f, 0.9928847053820105f, 0.9928904125501927f,
  0.9928961174367660f, 0.9929018200417173f, 0.9929075203650336f, 0.9929132184067015f,
  0.9929189141667083f, 0.9929246076450406f, 0.9929302988416855f, 0.9929359877566298f,
  0.9929416743898605f, 0.9929473587413644f, 0.9929530408111287f, 0.9929587205991401f,
  0.9929643981053856f, 0.9929700733298523f, 0.9929757462725270f, 0.9929814169333967f,
  0.9929870853124484f, 0.9929927514096691f, 0.9929984152250456f, 0.9930040767585652f,
  0.9930097360102146f, 0.9930153929799809f, 0.9930210476678512f, 0.9930267000738123f,
  0.9930323501978514f, 0.9930379980399554f, 0.9930436436001113f, 0.9930492868783063f,
  0.9930549278745273f, 0.9930605665887614f, 0.9930662030209955f, 0.9930718371712168f,
  0.9930774690394123f, 0.9930830986255691f, 0.9930887259296741f, 0.9930943509517146f,
  0.9930999736916776f, 0.9931055941495500f, 0.9931112123253191f, 0.9931168282189720f,
  0.9931224418304956f, 0.9931280531598772f, 0.9931336622071038f, 0.9931392689721624f,
  0.9931448734550404f, 0.9931504756557247f, 0.9931560755742026f, 0.9931616732104610f,
  0.9931672685644872f, 0.9931728616362683f, 0.9931784524257915f, 0.9931840409330439f,
  0.9931896271580126f, 0.9931952111006849f, 0.9932007927610479f, 0.9932063721390887f,
  0.9932119492347945f, 0.9932175240481527f, 0.9932230965791502f, 0.9932286668277743f,
  0.9932342347940123f, 0.9932398004778512f, 0.9932453638792784f, 0.9932509249982812f,
  0.9932564838348464f, 0.9932620403889617f, 0.9932675946606140f, 0.9932731466497907f,
  0.9932786963564790f, 0.9932842437806662f, 0.9932897889223394f, 0.9932953317814860f,
  0.9933008723580933f, 0.9933064106521484f, 0.9933119466636388f, 0.9933174803925514f,
  0.9933230118388739f, 0.9933285410025934f, 0.9933340678836972f, 0.9933395924821726f,
  0.9933451147980069f, 0.9933506348311875f, 0.9933561525817015f, 0.9933616680495365f,
  0.9933671812346796f, 0.9933726921371182f, 0.9933782007568397f, 0.9933837070938314f,
  0.9933892111480807f, 0.9933947129195748f, 0.9934002124083011f, 0.9934057096142471f,
  0.9934112045374001f, 0.9934166971777474f, 0.9934221875352764f, 0.9934276756099747f,
  0.9934331614018294f, 0.9934386449108279f, 0.9934441261369578f, 0.9934496050802063f,
  0.9934550817405610f, 0.9934605561180092f, 0.9934660282125384f, 0.9934714980241359f,
  0.9934769655527892f, 0.9934824307984857f, 0.9934878937612130f, 0.9934933544409584f,
  0.9934988128377094f, 0.9935042689514534f, 0.9935097227821778f, 0.9935151743298702f,
  0.9935206235945181f, 0.9935260705761089f, 0.9935315152746301f, 0.9935369576900692f,
  0.9935423978224137f, 0.9935478356716509f, 0.9935532712377687f, 0.9935587045207543f,
  0.9935641355205953f, 0.9935695642372793f, 0.9935749906707937f, 0.9935804148211260f,
  0.9935858366882639f, 0.9935912562721949f, 0.9935966735729065f, 0.9936020885903861f,
  0.9936075013246216f, 0.9936129117756003f, 0.9936183199433098f, 0.9936237258277377f,
  0.9936291294288717f, 0.9936345307466993f, 0.9936399297812080f, 0.9936453265323854f,
  0.9936507210002191f, 0.9936561131846969f, 0.9936615030858061f, 0.9936668907035348f,
  0.9936722760378700f, 0.9936776590887997f, 0.9936830398563115f, 0.9936884183403929f,
  0.9936937945410317f, 0.9936991684582155f, 0.9937045400919319f, 0.9937099094421686f,
  0.9937152765089132f, 0.9937206412921534f, 0.9937260037918770f, 0.9937313640080715f,
  0.9937367219407246f, 0.9937420775898241f, 0.9937474309553576f, 0.9937527820373128f,
  0.9937581308356774f, 0.9937634773504392f, 0.9937688215815859f, 0.9937741635291051f,
  0.9937795031929846f, 0.9937848405732120f, 0.9937901756697753f, 0.9937955084826621f,
  0.9938008390118601f, 0.9938061672573572f, 0.9938114932191409f, 0.9938168168971991f,
  0.9938221382915197f, 0.9938274574020902f, 0.9938327742288987f, 0.9938380887719327f,
  0.9938434010311802f, 0.9938487110066287f, 0.9938540186982664f, 0.9938593241060808f,
  0.9938646272300597f, 0.9938699280701911f, 0.9938752266264628f, 0.9938805228988625f,
  0.9938858168873781f, 0.9938911085919974f, 0.9938963980127082f, 0.9939016851494985f,
  0.9939069700023561f, 0.9939122525712687f, 0.9939175328562243f, 0.9939228108572107f,
  0.9939280865742158f, 0.9939333600072277f, 0.9939386311562338f, 0.9939439000212223f,
  0.9939491666021811f, 0.9939544308990982f, 0.9939596929119612f, 0.9939649526407581f,
  0.9939702100854769f, 0.9939754652461056f, 0.9939807181226319f, 0.9939859687150439f,
  0.9939912170233294f, 0.9939964630474765f, 0.9940017067874730f, 0.9940069482433069f,
  0.9940121874149662f, 0.9940174243024389f, 0.9940226589057128f, 0.9940278912247760f,
  0.9940331212596164f, 0.9940383490102220f, 0.9940435744765810f, 0.9940487976586810f,
  0.9940540185565102f, 0.9940592371700567f, 0.9940644534993084f, 0.9940696675442533f,
  0.9940748793048794f, 0.9940800887811748f, 0.9940852959731274f, 0.9940905008807255f,
  0.9940957035039569f, 0.9941009038428097f, 0.9941061018972720f, 0.9941112976673318f,
  0.9941164911529771f, 0.9941216823541961f, 0.9941268712709768f, 0.9941320579033073f,
  0.9941372422511757f, 0.9941424243145700f, 0.9941476040934785f, 0.9941527815878889f,
  0.9941579567977897f, 0.9941631297231689f, 0.9941683003640145f, 0.9941734687203146f,
  0.9941786347920576f, 0.9941837985792312f, 0.9941889600818240f, 0.9941941192998238f,
  0.9941992762332189f, 0.9942044308819974f, 0.9942095832461475f, 0.9942147333256572f,
  0.9942198811205150f, 0.9942250266307087f, 0.9942301698562266f, 0.9942353107970570f,
  0.9942404494531879f, 0.9942455858246078f, 0.9942507199113044f, 0.9942558517132665f,
  0.9942609812304818f, 0.9942661084629387f, 0.9942712334106255f, 0.9942763560735304f,
  0.9942814764516416f, 0.9942865945449472f, 0.9942917103534356f, 0.9942968238770949f,
  0.9943019351159136f, 0.9943070440698797f, 0.9943121507389816f, 0.9943172551232076f,
  0.9943223572225458f, 0.9943274570369847f, 0.9943325545665123f, 0.9943376498111171f,
  0.9943427427707873f, 0.9943478334455113f, 0.9943529218352772f, 0.9943580079400736f,
  0.9943630917598886f, 0.9943681732947105f, 0.9943732525445278f, 0.9943783295093287f,
  0.9943834041891014f, 0.9943884765838346f, 0.9943935466935163f, 0.9943986145181350f,
  0.9944036800576791f, 0.9944087433121368f, 0.9944138042814966f, 0.9944188629657469f,
  0.9944239193648760f, 0.9944289734788723f, 0.9944340253077241f, 0.9944390748514199f,
  0.9944441221099480f, 0.9944491670832969f, 0.9944542097714550f, 0.9944592501744107f,
  0.9944642882921524f, 0.9944693241246685f, 0.9944743576719475f, 0.9944793889339777f,
  0.9944844179107476f, 0.9944894446022458f, 0.9944944690084605f, 0.9944994911293803f,
  0.9945045109649936f, 0.9945095285152890f, 0.9945145437802548f, 0.9945195567598795f,
  0.9945245674541517f, 0.9945295758630598f, 0.9945345819865922f, 0.9945395858247376f,
  0.9945445873774843f, 0.9945495866448210f, 0.9945545836267360f, 0.9945595783232180f,
  0.9945645707342554f, 0.9945695608598368f, 0.9945745486999508f, 0.9945795342545858f,
  0.9945845175237303f, 0.9945894985073731f, 0.9945944772055025f, 0.9945994536181072f,
  0.9946044277451757f, 0.9946093995866966f, 0.9946143691426584f, 0.9946193364130498f,
  0.9946243013978594f, 0.9946292640970756f, 0.9946342245106872f, 0.9946391826386827f,
  0.9946441384810507f, 0.9946490920377798f, 0.9946540433088588f, 0.9946589922942760f,
  0.9946639389940204f, 0.9946688834080802f, 0.9946738255364445f, 0.9946787653791016f,
  0.9946837029360402f, 0.9946886382072492f, 0.9946935711927170f, 0.9946985018924324f,
  0.9947034303063839f, 0.9947083564345602f, 0.9947132802769503f, 0.9947182018335425f,
  0.9947231211043257f, 0.9947280380892886f, 0.9947329527884198f, 0.9947378652017080f,
  0.9947427753291420f, 0.9947476831707104f, 0.9947525887264020f, 0.9947574919962057f,
  0.9947623929801099f, 0.9947672916781035f, 0.9947721880901753f, 0.9947770822163140f,
  0.9947819740565083f, 0.9947868636107470f, 0.9947917508790188f, 0.9947966358613126f,
  0.9948015185576171f, 0.9948063989679211f, 0.9948112770922134f, 0.9948161529304826f,
  0.9948210264827179f, 0.9948258977489077f, 0.9948307667290410f, 0.9948356334231065f,
  0.9948404978310932f, 0.9948453599529898f, 0.9948502197887852f, 0.9948550773384680f,
  0.9948599326020273f, 0.9948647855794519f, 0.9948696362707306f, 0.9948744846758522f,
  0.9948793307948056f, 0.9948841746275797f, 0.9948890161741634f, 0.9948938554345454f,
  0.9948986924087149f, 0.9949035270966604f, 0.9949083594983711f, 0.9949131896138357f,
  0.9949180174430432f, 0.9949228429859824f, 0.9949276662426424f, 0.9949324872130120f,
  0.9949373058970801f, 0.9949421222948356f, 0.9949469364062675f, 0.9949517482313648f,
  0.9949565577701164f, 0.9949613650225111f, 0.9949661699885379f, 0.9949709726681860f,
  0.9949757730614441f, 0.9949805711683013f, 0.9949853669887465f, 0.9949901605227688f,
  0.9949949517703570f, 0.9949997407315002f, 0.9950045274061874f, 0.9950093117944075f,
  0.9950140938961497f, 0.9950188737114029f, 0.9950236512401561f, 0.9950284264823983f,
  0.9950331994381186f, 0.9950379701073060f, 0.9950427384899495f, 0.9950475045860382f,
  0.9950522683955612f, 0.9950570299185073f, 0.9950617891548658f, 0.9950665461046257f,
  0.9950713007677762f, 0.9950760531443060f, 0.9950808032342047f, 0.9950855510374609f,
  0.9950902965540640f, 0.9950950397840029f, 0.9950997807272668f, 0.9951045193838449f,
  0.9951092557537261f, 0.9951139898368997f, 0.9951187216333547f, 0.9951234511430802f,
  0.9951281783660655f, 0.9951329033022996f, 0.9951376259517718f, 0.9951423463144710f,
  0.9951470643903865f, 0.9951517801795075f, 0.9951564936818230f, 0.9951612048973224f,
  0.9951659138259946f, 0.9951706204678290f, 0.9951753248228148f, 0.9951800268909410f,
  0.9951847266721969f, 0.9951894241665716f, 0.9951941193740546f, 0.9951988122946348f,
  0.9952035029283015f, 0.9952081912750440f, 0.9952128773348515f, 0.9952175611077132f,
  0.9952222425936182f, 0.9952269217925561f, 0.9952315987045158f, 0.9952362733294867f,
  0.9952409456674581f, 0.9952456157184192f, 0.9952502834823592f, 0.9952549489592675f,
  0.9952596121491334f, 0.9952642730519460f, 0.9952689316676947f, 0.9952735879963688f,
  0.9952782420379577f, 0.9952828937924505f, 0.9952875432598366f, 0.9952921904401054f,
  0.9952968353332461f, 0.9953014779392481f, 0.9953061182581007f, 0.9953107562897933f,
  0.9953153920343151f, 0.9953200254916555f, 0.9953246566618040f, 0.9953292855447498f,
  0.9953339121404823f, 0.9953385364489908f, 0.9953431584702649f, 0.9953477782042937f,
  0.9953523956510668f, 0.9953570108105735f, 0.9953616236828031f, 0.9953662342677451f,
  0.9953708425653890f, 0.9953754485757240f, 0.9953800522987397f, 0.9953846537344254f,
  0.9953892528827707f, 0.9953938497437648f, 0.9953984443173972f, 0.9954030366036575f,
  0.9954076266025349f, 0.9954122143140191f, 0.9954167997380994f, 0.9954213828747652f,
  0.9954259637240062f, 0.9954305422858117f, 0.9954351185601712f, 0.9954396925470743f,
  0.9954442642465103f, 0.9954488336584688f, 0.9954534007829393f, 0.9954579656199114f,
  0.9954625281693744f, 0.9954670884313179f, 0.9954716464057315f, 0.9954762020926047f,
  0.9954807554919269f, 0.9954853066036878f, 0.9954898554278769f, 0.9954944019644837f,
  0.9954989462134978f, 0.9955034881749086f, 0.9955080278487060f, 0.9955125652348793f,
  0.9955171003334181f, 0.9955216331443120f, 0.9955261636675506f, 0.9955306919031236f,
  0.9955352178510204f, 0.9955397415112307f, 0.9955442628837440f, 0.9955487819685501f,
  0.9955532987656385f, 0.9955578132749988f, 0.9955623254966207f, 0.9955668354304938f,
  0.9955713430766078f, 0.9955758484349522f, 0.9955803515055166f, 0.9955848522882910f,
  0.9955893507832646f, 0.9955938469904274f, 0.9955983409097690f, 0.9956028325412790f,
  0.9956073218849470f, 0.9956118089407630f, 0.9956162937087163f, 0.9956207761887969f,
  0.9956252563809943f, 0.9956297342852983f, 0.9956342099016986f, 0.9956386832301849f,
  0.9956431542707469f, 0.9956476230233744f, 0.9956520894880571f, 0.9956565536647847f,
  0.9956610155535469f, 0.9956654751543336f, 0.9956699324671344f, 0.9956743874919392f,
  0.9956788402287375f, 0.9956832906775194f, 0.9956877388382745f, 0.9956921847109926f,
  0.9956966282956635f, 0.9957010695922769f, 0.9957055086008227f, 0.9957099453212908f,
  0.9957143797536706f, 0.9957188118979524f, 0.9957232417541257f, 0.9957276693221805f,
  0.9957320946021064f, 0.9957365175938935f, 0.9957409382975314f, 0.9957453567130101f,
  0.9957497728403194f, 0.9957541866794493f, 0.9957585982303893f, 0.9957630074931295f,
  0.9957674144676598f, 0.9957718191539700f, 0.9957762215520499f, 0.9957806216618896f,
  0.9957850194834788f, 0.9957894150168074f, 0.9957938082618655f, 0.9957981992186427f,
  0.9958025878871292f, 0.9958069742673147f, 0.9958113583591892f, 0.9958157401627427f,
  0.9958201196779649f, 0.9958244969048460f, 0.9958288718433759f, 0.9958332444935444f,
  0.9958376148553416f, 0.9958419829287574f, 0.9958463487137816f, 0.9958507122104044f,
  0.9958550734186158f, 0.9958594323384056f, 0.9958637889697638f, 0.9958681433126806f,
  0.9958724953671457f, 0.9958768451331493f, 0.9958811926106813f, 0.9958855377997318f,
  0.9958898807002907f, 0.9958942213123482f, 0.9958985596358941f, 0.9959028956709186f,
  0.9959072294174117f, 0.9959115608753634f, 0.9959158900447638f, 0.9959202169256028f,
  0.9959245415178707f, 0.9959288638215574f, 0.9959331838366531f, 0.9959375015631476f,
  0.9959418170010313f, 0.9959461301502941f, 0.9959504410109261f, 0.9959547495829175f,
  0.9959590558662583f, 0.9959633598609386f, 0.9959676615669485f, 0.9959719609842782f,
  0.9959762581129178f, 0.9959805529528574f, 0.9959848455040871f, 0.9959891357665970f,
  0.9959934237403774f, 0.9959977094254183f, 0.9960019928217099f, 0.9960062739292423f,
  0.9960105527480059f, 0.9960148292779906f, 0.9960191035191867f, 0.9960233754715843f,
  0.9960276451351736f, 0.9960319125099448f, 0.9960361775958881f, 0.9960404403929938f,
  0.9960447009012520f, 0.9960489591206528f, 0.9960532150511867f, 0.9960574686928436f,
  0.9960617200456140f, 0.9960659691094880f, 0.9960702158844558f, 0.9960744603705077f,
  0.9960787025676340f, 0.9960829424758247f, 0.9960871800950705f, 0.9960914154253612f,
  0.9960956484666873f, 0.9960998792190391f, 0.9961041076824069f, 0.9961083338567808f,
  0.9961125577421511f, 0.9961167793385084f, 0.9961209986458427f, 0.9961252156641444f,
  0.9961294303934037f, 0.9961336428336112f, 0.9961378529847569f, 0.9961420608468313f,
  0.9961462664198246f, 0.9961504697037273f, 0.9961546706985298f, 0.9961588694042222f,
  0.9961630658207949f, 0.9961672599482384f, 0.9961714517865430f, 0.9961756413356990f,
  0.9961798285956970f, 0.9961840135665270f, 0.9961881962481797f, 0.9961923766406453f,
  0.9961965547439142f, 0.9962007305579770f, 0.9962049040828240f, 0.9962090753184455f,
  0.9962132442648320f, 0.9962174109219739f, 0.9962215752898618f, 0.9962257373684857f,
  0.9962298971578365f, 0.9962340546579044f, 0.9962382098686799f, 0.9962423627901534f,
  0.9962465134223155f, 0.9962506617651565f, 0.9962548078186670f, 0.9962589515828374f,
  0.9962630930576581f, 0.9962672322431197f, 0.9962713691392127f, 0.9962755037459274f,
  0.9962796360632546f, 0.9962837660911846f, 0.9962878938297081f, 0.9962920192788153f,
  0.9962961424384968f, 0.9963002633087434f, 0.9963043818895455f, 0.9963084981808935f,
  0.9963126121827780f, 0.9963167238951897f, 0.9963208333181188f, 0.9963249404515563f,
  0.9963290452954924f, 0.9963331478499179f, 0.9963372481148233f, 0.9963413460901991f,
  0.9963454417760359f, 0.9963495351723244f, 0.9963536262790551f, 0.9963577150962187f,
  0.9963618016238057f, 0.9963658858618067f, 0.9963699678102124f, 0.9963740474690134f,
  0.9963781248382002f, 0.9963821999177636f, 0.9963862727076941f, 0.9963903432079825f,
  0.9963944114186193f, 0.9963984773395952f, 0.9964025409709009f, 0.9964066023125270f,
  0.9964106613644641f, 0.9964147181267031f, 0.9964187725992345f, 0.9964228247820489f,
  0.9964268746751372f, 0.9964309222784901f, 0.9964349675920982f, 0.9964390106159521f,
  0.9964430513500426f, 0.9964470897943605f, 0.9964511259488965f, 0.9964551598136412f,
  0.9964591913885854f, 0.9964632206737198f, 0.9964672476690354f, 0.9964712723745225f,
  0.9964752947901722f, 0.9964793149159751f, 0.9964833327519220f, 0.9964873482980037f,
  0.9964913615542109f, 0.9964953725205344f, 0.9964993811969650f, 0.9965033875834935f,
  0.9965073916801108f, 0.9965113934868075f, 0.9965153930035744f, 0.9965193902304025f,
  0.9965233851672824f, 0.9965273778142052f, 0.9965313681711615f, 0.9965353562381420f,
  0.9965393420151379f, 0.9965433255021399f, 0.9965473066991387f, 0.9965512856061253f,
  0.9965552622230905f, 0.9965592365500252f, 0.9965632085869203f, 0.9965671783337665f,
  0.9965711457905548f, 0.9965751109572761f, 0.9965790738339213f, 0.9965830344204814f,
  0.9965869927169470f, 0.9965909487233091f, 0.9965949024395587f, 0.9965988538656868f,
  0.9966028030016841f, 0.9966067498475417f, 0.9966106944032505f, 0.9966146366688012f,
  0.9966185766441851f, 0.9966225143293930f, 0.9966264497244157f, 0.9966303828292444f,
  0.9966343136438699f, 0.9966382421682833f, 0.9966421684024754f, 0.9966460923464374f,
  0.9966500140001601f, 0.9966539333636345f, 0.9966578504368516f, 0.9966617652198025f,
  0.9966656777124782f, 0.9966695879148695f, 0.9966734958269676f, 0.9966774014487636f,
  0.9966813047802483f, 0.9966852058214130f, 0.9966891045722484f, 0.9966930010327457f,
  0.9966968952028961f, 0.9967007870826904f, 0.9967046766721198f, 0.9967085639711754f,
  0.9967124489798480f, 0.9967163316981290f, 0.9967202121260095f, 0.9967240902634802f,
  0.9967279661105325f, 0.9967318396671574f, 0.9967357109333461f, 0.9967395799090896f,
  0.9967434465943789f, 0.9967473109892053f, 0.9967511730935599f, 0.9967550329074337f,
  0.9967588904308180f, 0.9967627456637038f, 0.9967665986060824f, 0.9967704492579448f,
  0.9967742976192820f, 0.9967781436900855f, 0.9967819874703464f, 0.9967858289600556f,
  0.9967896681592046f, 0.9967935050677843f, 0.9967973396857861f, 0.9968011720132011f,
  0.9968050020500204f, 0.9968088297962353f, 0.9968126552518370f, 0.9968164784168168f,
  0.9968202992911657f, 0.9968241178748751f, 0.9968279341679361f, 0.9968317481703400f,
  0.9968355598820782f, 0.9968393693031415f, 0.9968431764335216f, 0.9968469812732095f,
  0.9968507838221966f, 0.9968545840804740f, 0.9968583820480330f, 0.9968621777248651f,
  0.9968659711109613f, 0.9968697622063130f, 0.9968735510109115f, 0.9968773375247479f,
  0.9968811217478138f, 0.9968849036801004f, 0.9968886833215990f, 0.9968924606723008f,
  0.9968962357321972f, 0.9969000085012796f, 0.9969037789795393f, 0.9969075471669675f,
  0.9969113130635557f, 0.9969150766692952f, 0.9969188379841774f, 0.9969225970081935f,
  0.9969263537413351f, 0.9969301081835933f, 0.9969338603349596f, 0.9969376101954255f,
  0.9969413577649822f, 0.9969451030436211f, 0.9969488460313336f, 0.9969525867281113f,
  0.9969563251339453f, 0.9969600612488272f, 0.9969637950727485f, 0.9969675266057003f,
  0.9969712558476743f, 0.9969749827986618f, 0.9969787074586544f, 0.9969824298276433f,
  0.9969861499056202f, 0.9969898676925764f, 0.9969935831885033f, 0.9969972963933924f,
  0.9970010073072353f, 0.9970047159300233f, 0.9970084222617480f, 0.9970121263024009f,
  0.9970158280519733f, 0.9970195275104570f, 0.9970232246778431f, 0.9970269195541235f,
  0.9970306121392895f, 0.9970343024333326f, 0.9970379904362444f, 0.9970416761480164f,
  0.9970453595686400f, 0.9970490406981071f, 0.9970527195364088f, 0.9970563960835369f,
  0.9970600703394830f, 0.9970637423042384f, 0.9970674119777949f, 0.9970710793601441f,
  0.9970747444512773f, 0.9970784072511862f, 0.9970820677598625f, 0.9970857259772977f,
  0.9970893819034834f, 0.9970930355384112f, 0.9970966868820728f, 0.9971003359344596f,
  0.9971039826955633f, 0.9971076271653756f, 0.9971112693438881f, 0.9971149092310923f,
  0.9971185468269800f, 0.9971221821315428f, 0.9971258151447723f, 0.9971294458666602f,
  0.9971330742971981f, 0.9971367004363777f, 0.9971403242841907f, 0.9971439458406287f,
  0.9971475651056835f, 0.9971511820793466f, 0.9971547967616098f, 0.9971584091524648f,
  0.9971620192519033f, 0.9971656270599170f, 0.9971692325764975f, 0.9971728358016366f,
  0.9971764367353262f, 0.9971800353775576f, 0.9971836317283230f, 0.9971872257876139f,
  0.9971908175554219f, 0.9971944070317390f, 0.9971979942165569f, 0.9972015791098673f,
  0.9972051617116620f, 0.9972087420219325f, 0.9972123200406711f, 0.9972158957678692f,
  0.9972194692035187f, 0.9972230403476113f, 0.9972266092001389f, 0.9972301757610933f,
  0.9972337400304662f, 0.9972373020082496f, 0.9972408616944350f, 0.9972444190890145f,
  0.9972479741919799f, 0.9972515270033228f, 0.9972550775230353f, 0.9972586257511091f,
  0.9972621716875362f, 0.9972657153323082f, 0.9972692566854171f, 0.9972727957468548f,
  0.9972763325166132f, 0.9972798669946840f, 0.9972833991810591f, 0.9972869290757306f,
  0.9972904566786902f, 0.9972939819899298f, 0.9972975050094415f, 0.9973010257372169f,
  0.9973045441732480f, 0.9973080603175268f, 0.9973115741700453f, 0.9973150857307953f,
  0.9973185949997686f, 0.9973221019769574f, 0.9973256066623535f, 0.9973291090559488f,
  0.9973326091577355f, 0.9973361069677052f, 0.9973396024858501f, 0.9973430957121621f,
  0.9973465866466332f, 0.9973500752892553f, 0.9973535616400204f, 0.9973570456989207f,
  0.9973605274659479f, 0.9973640069410942f, 0.9973674841243514f, 0.9973709590157117f,
  0.9973744316151670f, 0.9973779019227095f, 0.9973813699383310f, 0.9973848356620237f,
  0.9973882990937795f, 0.9973917602335906f, 0.9973952190814488f, 0.9973986756373464f,
  0.9974021299012753f, 0.9974055818732276f, 0.9974090315531955f, 0.9974124789411709f,
  0.9974159240371460f, 0.9974193668411127f, 0.9974228073530632f, 0.9974262455729898f,
  0.9974296815008842f, 0.9974331151367388f, 0.9974365464805456f, 0.9974399755322968f,
  0.9974434022919844f, 0.9974468267596005f, 0.9974502489351375f, 0.9974536688185872f,
  0.9974570864099419f, 0.9974605017091938f, 0.9974639147163349f, 0.9974673254313574f,
  0.9974707338542537f, 0.9974741399850157f, 0.9974775438236355f, 0.9974809453701056f,
  0.9974843446244179f, 0.9974877415865647f, 0.9974911362565383f, 0.9974945286343307f,
  0.9974979187199342f, 0.9975013065133410f, 0.9975046920145434f, 0.9975080752235335f,
  0.9975114561403035f, 0.9975148347648457f, 0.9975182110971523f, 0.9975215851372157f,
  0.9975249568850280f, 0.9975283263405814f, 0.9975316935038683f, 0.9975350583748808f,
  0.9975384209536112f, 0.9975417812400520f, 0.9975451392341953f, 0.9975484949360333f,
  0.9975518483455584f, 0.9975551994627629f, 0.9975585482876391f, 0.9975618948201793f,
  0.9975652390603758f, 0.9975685810082208f, 0.9975719206637067f, 0.9975752580268260f,
  0.9975785930975708f, 0.9975819258759335f, 0.9975852563619065f, 0.9975885845554820f,
  0.9975919104566526f, 0.9975952340654105f, 0.9975985553817480f, 0.9976018744056576f,
  0.9976051911371316f, 0.9976085055761624f, 0.9976118177227424f, 0.9976151275768640f,
  0.9976184351385196f, 0.9976217404077015f, 0.9976250433844021f, 0.9976283440686139f,
  0.9976316424603293f, 0.9976349385595408f, 0.9976382323662406f, 0.9976415238804214f,
  0.9976448131020754f, 0.9976481000311953f, 0.9976513846677733f, 0.9976546670118019f,
  0.9976579470632737f, 0.9976612248221810f, 0.9976645002885164f, 0.9976677734622722f,
  0.9976710443434410f, 0.9976743129320154f, 0.9976775792279876f, 0.9976808432313504f,
  0.9976841049420960f, 0.9976873643602172f, 0.9976906214857063f, 0.9976938763185559f,
  0.9976971288587585f, 0.9977003791063066f, 0.9977036270611929f, 0.9977068727234096f,
  0.9977101160929496f, 0.9977133571698051f, 0.9977165959539690f, 0.9977198324454336f,
  0.9977230666441916f, 0.9977262985502355f, 0.9977295281635580f, 0.9977327554841514f,
  0.9977359805120086f, 0.9977392032471221f, 0.9977424236894843f, 0.9977456418390880f,
  0.9977488576959257f, 0.9977520712599901f, 0.9977552825312739f, 0.9977584915097694f,
  0.9977616981954696f, 0.9977649025883668f, 0.9977681046884538f, 0.9977713044957233f,
  0.9977745020101678f, 0.9977776972317801f, 0.9977808901605528f, 0.9977840807964785f,
  0.9977872691395500f, 0.9977904551897597f, 0.9977936389471007f, 0.9977968204115654f,
  0.9977999995831465f, 0.9978031764618367f, 0.9978063510476287f, 0.9978095233405153f,
  0.9978126933404893f, 0.9978158610475431f, 0.9978190264616696f, 0.9978221895828615f,
  0.9978253504111116f, 0.9978285089464126f, 0.9978316651887572f, 0.9978348191381382f,
  0.9978379707945483f, 0.9978411201579802f, 0.9978442672284269f, 0.9978474120058809f,
  0.9978505544903351f, 0.9978536946817823f, 0.9978568325802153f, 0.9978599681856267f,
  0.9978631014980095f, 0.9978662325173565f, 0.9978693612436603f, 0.9978724876769139f,
  0.9978756118171102f, 0.9978787336642417f, 0.9978818532183016f, 0.9978849704792824f,
  0.9978880854471771f, 0.9978911981219786f, 0.9978943085036796f, 0.9978974165922729f,
  0.9979005223877516f, 0.9979036258901085f, 0.9979067270993364f, 0.9979098260154281f,
  0.9979129226383766f, 0.9979160169681748f, 0.9979191090048154f, 0.9979221987482916f,
  0.9979252861985960f, 0.9979283713557217f, 0.9979314542196616f, 0.9979345347904084f,
  0.9979376130679553f, 0.9979406890522950f, 0.9979437627434207f, 0.9979468341413251f,
  0.9979499032460012f, 0.9979529700574420f, 0.9979560345756404f, 0.9979590968005895f,
  0.9979621567322819f, 0.9979652143707110f, 0.9979682697158695f, 0.9979713227677505f,
  0.9979743735263470f, 0.9979774219916518f, 0.9979804681636582f, 0.9979835120423588f,
  0.9979865536277470f, 0.9979895929198156f, 0.9979926299185577f, 0.9979956646239663f,
  0.9979986970360344f, 0.9980017271547550f, 0.9980047549801212f, 0.9980077805121260f,
  0.9980108037507625f, 0.9980138246960236f, 0.9980168433479026f, 0.9980198597063925f,
  0.9980228737714862f, 0.9980258855431769f, 0.9980288950214578f, 0.9980319022063217f,
  0.9980349070977618f, 0.9980379096957713f, 0.9980409100003432f, 0.9980439080114707f,
  0.9980469037291468f, 0.9980498971533648f, 0.9980528882841175f, 0.9980558771213983f,
  0.9980588636652002f, 0.9980618479155166f, 0.9980648298723401f, 0.9980678095356643f,
  0.9980707869054823f, 0.9980737619817871f, 0.9980767347645720f, 0.9980797052538301f,
  0.9980826734495546f, 0.9980856393517387f, 0.9980886029603754f, 0.9980915642754582f,
  0.9980945232969800f, 0.9980974800249343f, 0.9981004344593141f, 0.9981033866001126f,
  0.9981063364473231f, 0.9981092840009387f, 0.9981122292609528f, 0.9981151722273586f,
  0.9981181129001492f, 0.9981210512793179f, 0.9981239873648581f, 0.9981269211567629f,
  0.9981298526550256f, 0.9981327818596394f, 0.9981357087705977f, 0.9981386333878935f,
  0.9981415557115205f, 0.9981444757414717f, 0.9981473934777404f, 0.9981503089203200f,
  0.9981532220692036f, 0.9981561329243849f, 0.9981590414858568f, 0.9981619477536128f,
  0.9981648517276462f, 0.9981677534079504f, 0.9981706527945186f, 0.9981735498873442f,
  0.9981764446864205f, 0.9981793371917409f, 0.9981822274032988f, 0.9981851153210874f,
  0.9981880009451003f, 0.9981908842753306f, 0.9981937653117720f, 0.9981966440544174f,
  0.9981995205032607f, 0.9982023946582950f, 0.9982052665195137f, 0.9982081360869103f,
  0.9982110033604782f, 0.9982138683402106f, 0.9982167310261013f, 0.9982195914181434f,
  0.9982224495163305f, 0.9982253053206559f, 0.9982281588311132f, 0.9982310100476957f,
  0.9982338589703968f, 0.9982367055992103f, 0.9982395499341292f, 0.9982423919751472f,
  0.9982452317222579f, 0.9982480691754544f, 0.9982509043347305f, 0.9982537372000796f,
  0.9982565677714952f, 0.9982593960489706f, 0.9982622220324997f, 0.9982650457220756f,
  0.9982678671176921f, 0.9982706862193426f, 0.9982735030270206f, 0.9982763175407195f,
  0.9982791297604332f, 0.9982819396861550f, 0.9982847473178783f, 0.9982875526555970f,
  0.9982903556993044f, 0.9982931564489941f, 0.9982959549046597f, 0.9982987510662947f,
  0.9983015449338929f, 0.9983043365074475f, 0.9983071257869525f, 0.9983099127724012f,
  0.9983126974637873f, 0.9983154798611044f, 0.9983182599643460f, 0.9983210377735059f,
  0.9983238132885776f, 0.9983265865095546f, 0.9983293574364309f, 0.9983321260691997f,
  0.9983348924078550f, 0.9983376564523903f, 0.9983404182027991f, 0.9983431776590752f,
  0.9983459348212124f, 0.9983486896892040f, 0.9983514422630440f, 0.9983541925427259f,
  0.9983569405282434f, 0.9983596862195904f, 0.9983624296167602f, 0.9983651707197468f,
  0.9983679095285438f, 0.9983706460431448f, 0.9983733802635438f, 0.9983761121897343f,
  0.9983788418217100f, 0.9983815691594647f, 0.9983842942029921f, 0.9983870169522860f,
  0.9983897374073402f, 0.9983924555681483f, 0.9983951714347040f, 0.9983978850070012f,
  0.9984005962850336f, 0.9984033052687952f, 0.9984060119582794f, 0.9984087163534802f,
  0.9984114184543913f, 0.9984141182610065f, 0.9984168157733196f, 0.9984195109913246f,
  0.9984222039150150f, 0.9984248945443849f, 0.9984275828794278f, 0.9984302689201378f,
  0.9984329526665084f, 0.9984356341185339f, 0.9984383132762077f, 0.9984409901395239f,
  0.9984436647084763f, 0.9984463369830587f, 0.9984490069632650f, 0.9984516746490891f,
  0.9984543400405248f, 0.9984570031375659f, 0.9984596639402065f, 0.9984623224484404f,
  0.9984649786622612f, 0.9984676325816633f, 0.9984702842066403f, 0.9984729335371861f,
  0.9984755805732948f, 0.9984782253149601f, 0.9984808677621759f, 0.9984835079149365f,
  0.9984861457732354f, 0.9984887813370666f, 0.9984914146064243f, 0.9984940455813024f,
  0.9984966742616946f, 0.9984993006475951f, 0.9985019247389978f, 0.9985045465358966f,
  0.9985071660382855f, 0.9985097832461585f, 0.9985123981595097f, 0.9985150107783328f,
  0.9985176211026222f, 0.9985202291323715f, 0.9985228348675750f, 0.9985254383082266f,
  0.9985280394543202f, 0.9985306383058501f, 0.9985332348628101f, 0.9985358291251942f,
  0.9985384210929967f, 0.9985410107662115f, 0.9985435981448325f, 0.9985461832288540f,
  0.9985487660182699f, 0.9985513465130743f, 0.9985539247132613f, 0.9985565006188249f,
  0.9985590742297593f, 0.9985616455460585f, 0.9985642145677167f, 0.9985667812947279f,
  0.9985693457270861f, 0.9985719078647856f, 0.9985744677078203f, 0.9985770252561846f,
  0.9985795805098725f, 0.9985821334688780f, 0.9985846841331955f, 0.9985872325028188f,
  0.9985897785777422f, 0.9985923223579600f, 0.9985948638434662f, 0.9985974030342549f,
  0.9985999399303204f, 0.9986024745316568f, 0.9986050068382584f, 0.9986075368501192f,
  0.9986100645672333f, 0.9986125899895952f, 0.9986151131171990f, 0.9986176339500388f,
  0.9986201524881089f, 0.9986226687314034f, 0.9986251826799166f, 0.9986276943336427f,
  0.9986302036925760f, 0.9986327107567107f, 0.9986352155260408f, 0.9986377180005610f,
  0.9986402181802653f, 0.9986427160651478f, 0.9986452116552030f, 0.9986477049504251f,
  0.9986501959508083f, 0.9986526846563470f, 0.9986551710670354f, 0.9986576551828678f,
  0.9986601370038385f, 0.9986626165299417f, 0.9986650937611719f, 0.9986675686975232f,
  0.9986700413389901f, 0.9986725116855668f, 0.9986749797372476f, 0.9986774454940269f,
  0.9986799089558991f, 0.9986823701228583f, 0.9986848289948992f, 0.9986872855720158f,
  0.9986897398542026f, 0.9986921918414541f, 0.9986946415337644f, 0.9986970889311280f,
  0.9986995340335393f, 0.9987019768409927f, 0.9987044173534825f, 0.9987068555710031f,
  0.9987092914935490f, 0.9987117251211145f, 0.9987141564536940f, 0.9987165854912821f,
  0.9987190122338729f, 0.9987214366814611f, 0.9987238588340410f, 0.9987262786916070f,
  0.9987286962541537f, 0.9987311115216754f, 0.9987335244941665f, 0.9987359351716217f,
  0.9987383435540352f, 0.9987407496414017f, 0.9987431534337154f, 0.9987455549309711f,
  0.9987479541331629f, 0.9987503510402856f, 0.9987527456523335f, 0.9987551379693013f,
  0.9987575279911833f, 0.9987599157179741f, 0.9987623011496682f, 0.9987646842862602f,
  0.9987670651277444f, 0.9987694436741156f, 0.9987718199253681f, 0.9987741938814966f,
  0.9987765655424956f, 0.9987789349083597f, 0.9987813019790833f, 0.9987836667546611f,
  0.9987860292350876f, 0.9987883894203574f, 0.9987907473104651f, 0.9987931029054052f,
  0.9987954562051724f, 0.9987978072097612f, 0.9988001559191663f, 0.9988025023333821f,
  0.9988048464524034f, 0.9988071882762247f, 0.9988095278048408f, 0.9988118650382461f,
  0.9988141999764354f, 0.9988165326194032f, 0.9988188629671442f, 0.9988211910196531f,
  0.9988235167769245f, 0.9988258402389529f, 0.9988281614057333f, 0.9988304802772601f,
  0.9988327968535280f, 0.9988351111345317f, 0.9988374231202660f, 0.9988397328107255f,
  0.9988420402059048f, 0.9988443453057988f, 0.9988466481104020f, 0.9988489486197093f,
  0.9988512468337152f, 0.9988535427524146f, 0.9988558363758021f, 0.9988581277038725f,
  0.9988604167366205f, 0.9988627034740408f, 0.9988649879161283f, 0.9988672700628777f,
  0.9988695499142836f, 0.9988718274703409f, 0.9988741027310443f, 0.9988763756963887f,
  0.9988786463663687f, 0.9988809147409792f, 0.9988831808202149f, 0.9988854446040707f,
  0.9988877060925413f, 0.9988899652856216f, 0.9988922221833063f, 0.9988944767855904f,
  0.9988967290924684f, 0.9988989791039354f, 0.9989012268199862f, 0.9989034722406155f,
  0.9989057153658183f, 0.9989079561955893f, 0.9989101947299234f, 0.9989124309688154f,
  0.9989146649122604f, 0.9989168965602530f, 0.9989191259127882f, 0.9989213529698608f,
  0.9989235777314658f, 0.9989258001975979f, 0.9989280203682522f, 0.9989302382434235f,
  0.9989324538231067f, 0.9989346671072967f, 0.9989368780959885f, 0.9989390867891769f,
  0.9989412931868569f, 0.9989434972890233f, 0.9989456990956712f, 0.9989478986067956f,
  0.9989500958223912f, 0.9989522907424532f, 0.9989544833669762f, 0.9989566736959556f,
  0.9989588617293861f, 0.9989610474672628f, 0.9989632309095805f, 0.9989654120563344f,
  0.9989675909075193f, 0.9989697674631303f, 0.9989719417231624f, 0.9989741136876106f,
  0.9989762833564698f, 0.9989784507297351f, 0.9989806158074016f, 0.9989827785894643f,
  0.9989849390759180f, 0.9989870972667581f, 0.9989892531619793f, 0.9989914067615768f,
  0.9989935580655457f, 0.9989957070738811f, 0.9989978537865778f, 0.9989999982036311f,
  0.9990021403250360f, 0.9990042801507876f, 0.9990064176808809f, 0.9990085529153112f,
  0.9990106858540734f, 0.9990128164971626f, 0.9990149448445739f, 0.9990170708963025f,
  0.9990191946523435f, 0.9990213161126920f, 0.9990234352773431f, 0.9990255521462920f,
  0.9990276667195337f, 0.9990297789970634f, 0.9990318889788763f, 0.9990339966649676f,
  0.9990361020553323f, 0.9990382051499657f, 0.9990403059488628f, 0.9990424044520190f,
  0.9990445006594293f, 0.9990465945710890f, 0.9990486861869932f, 0.9990507755071371f,
  0.9990528625315159f, 0.9990549472601249f, 0.9990570296929592f, 0.9990591098300140f,
  0.9990611876712846f, 0.9990632632167662f, 0.9990653364664540f, 0.9990674074203434f,
  0.9990694760784293f, 0.9990715424407073f, 0.9990736065071725f, 0.9990756682778200f,
  0.9990777277526454f, 0.9990797849316437f, 0.9990818398148102f, 0.9990838924021403f,
  0.9990859426936293f, 0.9990879906892723f, 0.9990900363890648f, 0.9990920797930020f,
  0.9990941209010791f, 0.9990961597132916f, 0.9990981962296347f, 0.9991002304501038f,
  0.9991022623746941f, 0.9991042920034010f, 0.9991063193362200f, 0.9991083443731461f,
  0.9991103671141749f, 0.9991123875593017f, 0.9991144057085218f, 0.9991164215618307f,
  0.9991184351192235f, 0.9991204463806959f, 0.9991224553462430f, 0.9991244620158605f,
  0.9991264663895434f, 0.9991284684672873f, 0.9991304682490877f, 0.9991324657349399f,
  0.9991344609248392f, 0.9991364538187811f, 0.9991384444167611f, 0.9991404327187746f,
  0.9991424187248169f, 0.9991444024348837f, 0.9991463838489700f, 0.9991483629670718f,
  0.9991503397891841f, 0.9991523143153026f, 0.9991542865454226f, 0.9991562564795398f,
  0.9991582241176494f, 0.9991601894597471f, 0.9991621525058283f, 0.9991641132558884f,
  0.9991660717099230f, 0.9991680278679277f, 0.9991699817298977f, 0.9991719332958288f,
  0.9991738825657164f, 0.9991758295395560f, 0.9991777742173432f, 0.9991797165990735f,
  0.9991816566847423f, 0.9991835944743453f, 0.9991855299678781f, 0.9991874631653361f,
  0.9991893940667149f, 0.9991913226720102f, 0.9991932489812174f, 0.9991951729943320f,
  0.9991970947113499f, 0.9991990141322664f, 0.9992009312570771f, 0.9992028460857778f,
  0.9992047586183639f, 0.9992066688548311f, 0.9992085767951749f, 0.9992104824393911f,
  0.9992123857874753f, 0.9992142868394229f, 0.9992161855952297f, 0.9992180820548914f,
  0.9992199762184035f, 0.9992218680857617f, 0.9992237576569617f, 0.9992256449319992f,
  0.9992275299108696f, 0.9992294125935689f, 0.9992312929800925f, 0.9992331710704363f,
  0.9992350468645959f, 0.9992369203625668f, 0.9992387915643450f, 0.9992406604699261f,
  0.9992425270793058f, 0.9992443913924797f, 0.9992462534094436f, 0.9992481131301933f,
  0.9992499705547244f, 0.9992518256830327f, 0.9992536785151139f, 0.9992555290509638f,
  0.9992573772905781f, 0.9992592232339526f, 0.9992610668810830f, 0.9992629082319650f,
  0.9992647472865944f, 0.9992665840449672f, 0.9992684185070789f, 0.9992702506729254f,
  0.9992720805425026f, 0.9992739081158061f, 0.9992757333928317f, 0.9992775563735753f,
  0.9992793770580327f, 0.9992811954461998f, 0.9992830115380723f, 0.9992848253336459f,
  0.9992866368329167f, 0.9992884460358805f, 0.9992902529425330f, 0.9992920575528702f,
  0.9992938598668878f, 0.9992956598845817f, 0.9992974576059478f, 0.9992992530309819f,
  0.9993010461596801f, 0.9993028369920379f, 0.9993046255280515f, 0.9993064117677167f,
  0.9993081957110295f, 0.9993099773579855f, 0.9993117567085809f, 0.9993135337628114f,
  0.9993153085206731f, 0.9993170809821618f, 0.9993188511472735f, 0.9993206190160041f,
  0.9993223845883495f, 0.9993241478643057f, 0.9993259088438686f, 0.9993276675270343f,
  0.9993294239137984f, 0.9993311780041573f, 0.9993329297981067f, 0.9993346792956427f,
  0.9993364264967612f, 0.9993381714014582f, 0.9993399140097297f, 0.9993416543215717f,
  0.9993433923369802f, 0.9993451280559512f, 0.9993468614784807f, 0.9993485926045648f,
  0.9993503214341994f, 0.9993520479673805f, 0.9993537722041044f, 0.9993554941443669f,
  0.9993572137881640f, 0.9993589311354919f, 0.9993606461863466f, 0.9993623589407241f,
  0.9993640693986205f, 0.9993657775600321f, 0.9993674834249545f, 0.9993691869933842f,
  0.9993708882653171f, 0.9993725872407493f, 0.9993742839196770f, 0.9993759783020961f,
  0.9993776703880028f, 0.9993793601773934f, 0.9993810476702637f, 0.9993827328666101f,
  0.9993844157664286f, 0.9993860963697152f, 0.9993877746764662f, 0.9993894506866777f,
  0.9993911244003461f, 0.9993927958174671f, 0.9993944649380371f, 0.9993961317620522f,
  0.9993977962895086f, 0.9993994585204027f, 0.9994011184547302f, 0.9994027760924877f,
  0.9994044314336713f, 0.9994060844782771f, 0.9994077352263012f, 0.9994093836777401f,
  0.9994110298325898f, 0.9994126736908466f, 0.9994143152525067f, 0.9994159545175663f,
  0.9994175914860217f, 0.9994192261578690f, 0.9994208585331047f, 0.9994224886117248f,
  0.9994241163937256f, 0.9994257418791035f, 0.9994273650678546f, 0.9994289859599753f,
  0.9994306045554617f, 0.9994322208543104f, 0.9994338348565173f, 0.9994354465620789f,
  0.9994370559709915f, 0.9994386630832514f, 0.9994402678988549f, 0.9994418704177982f,
  0.9994434706400778f, 0.9994450685656898f, 0.9994466641946307f, 0.9994482575268968f,
  0.9994498485624845f, 0.9994514373013901f, 0.9994530237436098f, 0.9994546078891401f,
  0.9994561897379773f, 0.9994577692901180f, 0.9994593465455581f, 0.9994609215042944f,
  0.9994624941663232f, 0.9994640645316407f, 0.9994656326002435f, 0.9994671983721277f,
  0.9994687618472901f, 0.9994703230257268f, 0.9994718819074344f, 0.9994734384924092f,
  0.9994749927806478f, 0.9994765447721463f, 0.9994780944669014f, 0.9994796418649095f,
  0.9994811869661669f, 0.9994827297706703f, 0.9994842702784159f, 0.9994858084894004f,
  0.9994873444036201f, 0.9994888780210714f, 0.9994904093417510f, 0.9994919383656552f,
  0.9994934650927806f, 0.9994949895231237f, 0.9994965116566809f, 0.9994980314934486f,
  0.9994995490334236f, 0.9995010642766022f, 0.9995025772229811f, 0.9995040878725566f,
  0.9995055962253253f, 0.9995071022812839f, 0.9995086060404287f, 0.9995101075027564f,
  0.9995116066682634f, 0.9995131035369466f, 0.9995145981088021f, 0.9995160903838267f,
  0.9995175803620170f, 0.9995190680433695f, 0.9995205534278809f, 0.9995220365155476f,
  0.9995235173063663f, 0.9995249958003336f, 0.9995264719974462f, 0.9995279458977004f,
  0.9995294175010931f, 0.9995308868076209f, 0.9995323538172803f, 0.9995338185300680f,
  0.9995352809459805f, 0.9995367410650147f, 0.9995381988871670f, 0.9995396544124342f,
  0.9995411076408129f, 0.9995425585722998f, 0.9995440072068914f, 0.9995454535445847f,
  0.9995468975853760f, 0.9995483393292622f, 0.9995497787762400f, 0.9995512159263060f,
  0.9995526507794570f, 0.9995540833356896f, 0.9995555135950005f, 0.9995569415573865f,
  0.9995583672228443f, 0.9995597905913706f, 0.9995612116629621f, 0.9995626304376156f,
  0.9995640469153277f, 0.9995654610960955f, 0.9995668729799153f, 0.9995682825667841f,
  0.9995696898566986f, 0.9995710948496556f, 0.9995724975456518f, 0.9995738979446841f,
  0.9995752960467492f, 0.9995766918518439f, 0.9995780853599651f, 0.9995794765711093f,
  0.9995808654852737f, 0.9995822521024548f, 0.9995836364226495f, 0.9995850184458547f,
  0.9995863981720671f, 0.9995877756012835f, 0.9995891507335010f, 0.9995905235687161f,
  0.9995918941069259f, 0.9995932623481273f, 0.9995946282923168f, 0.9995959919394916f,
  0.9995973532896484f, 0.9995987123427841f, 0.9996000690988955f, 0.9996014235579798f,
  0.9996027757200335f, 0.9996041255850537f, 0.9996054731530373f, 0.9996068184239811f,
  0.9996081613978821f, 0.9996095020747371f, 0.9996108404545432f, 0.9996121765372972f,
  0.9996135103229959f, 0.9996148418116366f, 0.9996161710032160f, 0.9996174978977309f,
  0.9996188224951786f, 0.9996201447955558f, 0.9996214647988596f, 0.9996227825050868f,
  0.9996240979142346f, 0.9996254110262999f, 0.9996267218412794f, 0.9996280303591706f,
  0.9996293365799701f, 0.9996306405036750f, 0.9996319421302823f, 0.9996332414597892f,
  0.9996345384921923f, 0.9996358332274891f, 0.9996371256656762f, 0.9996384158067509f,
  0.9996397036507102f, 0.9996409891975511f, 0.9996422724472706f, 0.9996435533998658f,
  0.9996448320553336f, 0.9996461084136714f, 0.9996473824748761f, 0.9996486542389447f,
  0.9996499237058742f, 0.9996511908756620f, 0.9996524557483049f, 0.9996537183238001f,
  0.9996549786021447f, 0.9996562365833358f, 0.9996574922673706f, 0.9996587456542460f,
  0.9996599967439592f, 0.9996612455365075f, 0.9996624920318878f, 0.9996637362300974f,
  0.9996649781311333f, 0.9996662177349928f, 0.9996674550416729f, 0.9996686900511708f,
  0.9996699227634838f, 0.9996711531786088f, 0.9996723812965432f, 0.9996736071172841f,
  0.9996748306408287f, 0.9996760518671742f, 0.9996772707963177f, 0.9996784874282566f,
  0.9996797017629879f, 0.9996809138005089f, 0.9996821235408168f, 0.9996833309839087f,
  0.9996845361297821f, 0.9996857389784340f, 0.9996869395298618f, 0.9996881377840625f,
  0.9996893337410336f, 0.9996905274007722f, 0.9996917187632757f, 0.9996929078285411f,
  0.9996940945965660f, 0.9996952790673475f, 0.9996964612408827f, 0.9996976411171693f,
  0.9996988186962042f, 0.9996999939779849f, 0.9997011669625087f, 0.9997023376497728f,
  0.9997035060397746f, 0.9997046721325114f, 0.9997058359279805f, 0.9997069974261792f,
  0.9997081566271049f, 0.9997093135307548f, 0.9997104681371264f, 0.9997116204462170f,
  0.9997127704580239f, 0.9997139181725445f, 0.9997150635897762f, 0.9997162067097163f,
  0.9997173475323622f, 0.9997184860577112f, 0.9997196222857608f, 0.9997207562165085f,
  0.9997218878499513f, 0.9997230171860870f, 0.9997241442249127f, 0.9997252689664261f,
  0.9997263914106245f, 0.9997275115575052f, 0.9997286294070657f, 0.9997297449593036f,
  0.9997308582142160f, 0.9997319691718006f, 0.9997330778320548f, 0.9997341841949761f,
  0.9997352882605617f, 0.9997363900288093f, 0.9997374894997164f, 0.9997385866732804f,
  0.9997396815494987f, 0.9997407741283688f, 0.9997418644098884f, 0.9997429523940548f,
  0.9997440380808654f, 0.9997451214703179f, 0.9997462025624099f, 0.9997472813571386f,
  0.9997483578545018f, 0.9997494320544968f, 0.9997505039571213f, 0.9997515735623728f,
  0.9997526408702488f, 0.9997537058807469f, 0.9997547685938646f, 0.9997558290095995f,
  0.9997568871279491f, 0.9997579429489111f, 0.9997589964724829f, 0.9997600476986622f,
  0.9997610966274466f, 0.9997621432588336f, 0.9997631875928209f, 0.9997642296294059f,
  0.9997652693685865f, 0.9997663068103601f, 0.9997673419547243f, 0.9997683748016769f,
  0.9997694053512153f, 0.9997704336033373f, 0.9997714595580405f, 0.9997724832153225f,
  0.9997735045751810f, 0.9997745236376137f, 0.9997755404026181f, 0.9997765548701920f,
  0.9997775670403329f, 0.9997785769130387f, 0.9997795844883069f, 0.9997805897661354f,
  0.9997815927465217f, 0.9997825934294635f, 0.9997835918149585f, 0.9997845879030045f,
  0.9997855816935992f, 0.9997865731867402f, 0.9997875623824254f, 0.9997885492806523f,
  0.9997895338814188f, 0.9997905161847226f, 0.9997914961905615f, 0.9997924738989331f,
  0.9997934493098353f, 0.9997944224232658f, 0.9997953932392223f, 0.9997963617577027f,
  0.9997973279787047f, 0.9997982919022260f, 0.9997992535282645f, 0.9998002128568180f,
  0.9998011698878843f, 0.9998021246214610f, 0.9998030770575462f, 0.9998040271961375f,
  0.9998049750372329f, 0.9998059205808300f, 0.9998068638269267f, 0.9998078047755210f,
  0.9998087434266105f, 0.9998096797801932f, 0.9998106138362669f, 0.9998115455948295f,
  0.9998124750558788f, 0.9998134022194126f, 0.9998143270854289f, 0.9998152496539255f,
  0.9998161699249004f, 0.9998170878983512f, 0.9998180035742762f, 0.9998189169526729f,
  0.9998198280335394f, 0.9998207368168737f, 0.9998216433026734f, 0.9998225474909368f,
  0.9998234493816616f, 0.9998243489748456f, 0.9998252462704870f, 0.9998261412685836f,
  0.9998270339691334f, 0.9998279243721344f, 0.9998288124775844f, 0.9998296982854814f,
  0.9998305817958234f, 0.9998314630086084f, 0.9998323419238344f, 0.9998332185414992f,
  0.9998340928616010f, 0.9998349648841377f, 0.9998358346091073f, 0.9998367020365078f,
  0.9998375671663371f, 0.9998384299985934f, 0.9998392905332747f, 0.9998401487703789f,
  0.9998410047099040f, 0.9998418583518482f, 0.9998427096962095f, 0.9998435587429858f,
  0.9998444054921752f, 0.9998452499437760f, 0.9998460920977860f, 0.9998469319542033f,
  0.9998477695130259f, 0.9998486047742521f, 0.9998494377378798f, 0.9998502684039071f,
  0.9998510967723322f, 0.9998519228431532f, 0.9998527466163679f, 0.9998535680919748f,
  0.9998543872699719f, 0.9998552041503571f, 0.9998560187331288f, 0.9998568310182850f,
  0.9998576410058239f, 0.9998584486957435f, 0.9998592540880420f, 0.9998600571827176f,
  0.9998608579797685f, 0.9998616564791928f, 0.9998624526809886f, 0.9998632465851542f,
  0.9998640381916877f, 0.9998648275005872f, 0.9998656145118511f, 0.9998663992254774f,
  0.9998671816414644f, 0.9998679617598102f, 0.9998687395805130f, 0.9998695151035712f,
  0.9998702883289829f, 0.9998710592567464f, 0.9998718278868597f, 0.9998725942193213f,
  0.9998733582541293f, 0.9998741199912820f, 0.9998748794307775f, 0.9998756365726142f,
  0.9998763914167904f, 0.9998771439633043f, 0.9998778942121541f, 0.9998786421633382f,
  0.9998793878168549f, 0.9998801311727024f, 0.9998808722308788f, 0.9998816109913828f,
  0.9998823474542126f, 0.9998830816193662f, 0.9998838134868422f, 0.9998845430566389f,
  0.9998852703287545f, 0.9998859953031874f, 0.9998867179799360f, 0.9998874383589985f,
  0.9998881564403733f, 0.9998888722240589f, 0.9998895857100534f, 0.9998902968983553f,
  0.9998910057889629f, 0.9998917123818747f, 0.9998924166770889f, 0.9998931186746041f,
  0.9998938183744185f, 0.9998945157765305f, 0.9998952108809387f, 0.9998959036876413f,
  0.9998965941966367f, 0.9998972824079234f, 0.9998979683214998f, 0.9998986519373643f,
  0.9998993332555154f, 0.9999000122759514f, 0.9999006889986709f, 0.9999013634236722f,
  0.9999020355509539f, 0.9999027053805143f, 0.9999033729123520f, 0.9999040381464653f,
  0.9999047010828529f, 0.9999053617215130f, 0.9999060200624443f, 0.9999066761056452f,
  0.9999073298511143f, 0.9999079812988499f, 0.9999086304488507f, 0.9999092773011150f,
  0.9999099218556415f, 0.9999105641124286f, 0.9999112040714749f, 0.9999118417327790f,
  0.9999124770963392f, 0.9999131101621542f, 0.9999137409302227f, 0.9999143694005429f,
  0.9999149955731135f, 0.9999156194479332f, 0.9999162410250004f, 0.9999168603043137f,
  0.9999174772858718f, 0.9999180919696731f, 0.9999187043557163f, 0.9999193144440000f,
  0.9999199222345228f, 0.9999205277272831f, 0.9999211309222799f, 0.9999217318195114f,
  0.9999223304189765f, 0.9999229267206737f, 0.9999235207246017f, 0.9999241124307591f,
  0.9999247018391445f, 0.9999252889497566f, 0.9999258737625941f, 0.9999264562776555f,
  0.9999270364949396f, 0.9999276144144451f, 0.9999281900361705f, 0.9999287633601146f,
  0.9999293343862761f, 0.9999299031146536f, 0.9999304695452458f, 0.9999310336780514f,
  0.9999315955130692f, 0.9999321550502979f, 0.9999327122897360f, 0.9999332672313825f,
  0.9999338198752360f, 0.9999343702212952f, 0.9999349182695588f, 0.9999354640200258f,
  0.9999360074726946f, 0.9999365486275641f, 0.9999370874846332f, 0.9999376240439004f,
  0.9999381583053646f, 0.9999386902690246f, 0.9999392199348791f, 0.9999397473029270f,
  0.9999402723731670f, 0.9999407951455979f, 0.9999413156202184f, 0.9999418337970275f,
  0.9999423496760239f, 0.9999428632572065f, 0.9999433745405739f, 0.9999438835261252f,
  0.9999443902138591f, 0.9999448946037744f, 0.9999453966958700f, 0.9999458964901448f,
  0.9999463939865975f, 0.9999468891852270f, 0.9999473820860323f, 0.9999478726890121f,
  0.9999483609941654f, 0.9999488470014909f, 0.9999493307109877f, 0.9999498121226547f,
  0.9999502912364905f, 0.9999507680524942f, 0.9999512425706647f, 0.9999517147910010f,
  0.9999521847135018f, 0.9999526523381662f, 0.9999531176649931f, 0.9999535806939812f,
  0.9999540414251298f, 0.9999544998584377f, 0.9999549559939036f, 0.9999554098315268f,
  0.9999558613713061f, 0.9999563106132405f, 0.9999567575573289f, 0.9999572022035704f,
  0.9999576445519639f, 0.9999580846025083f, 0.9999585223552028f, 0.9999589578100462f,
  0.9999593909670375f, 0.9999598218261758f, 0.9999602503874602f, 0.9999606766508895f,
  0.9999611006164628f, 0.9999615222841792f, 0.9999619416540376f, 0.9999623587260372f,
  0.9999627735001769f, 0.9999631859764558f, 0.9999635961548730f, 0.9999640040354275f,
  0.9999644096181183f, 0.9999648129029446f, 0.9999652138899054f, 0.9999656125789999f,
  0.9999660089702269f, 0.9999664030635858f, 0.9999667948590754f, 0.9999671843566951f,
  0.9999675715564438f, 0.9999679564583206f, 0.9999683390623249f, 0.9999687193684554f,
  0.9999690973767116f, 0.9999694730870924f, 0.9999698464995970f, 0.9999702176142244f,
  0.9999705864309741f, 0.9999709529498449f, 0.9999713171708363f, 0.9999716790939471f,
  0.9999720387191767f, 0.9999723960465242f, 0.9999727510759888f, 0.9999731038075697f,
  0.9999734542412659f, 0.9999738023770769f, 0.9999741482150017f, 0.9999744917550397f,
  0.9999748329971898f, 0.9999751719414515f, 0.9999755085878238f, 0.9999758429363061f,
  0.9999761749868976f, 0.9999765047395974f, 0.9999768321944049f, 0.9999771573513193f,
  0.9999774802103399f, 0.9999778007714659f, 0.9999781190346965f, 0.9999784350000310f,
  0.9999787486674688f, 0.9999790600370091f, 0.9999793691086512f, 0.9999796758823942f,
  0.9999799803582377f, 0.9999802825361808f, 0.9999805824162229f, 0.9999808799983632f,
  0.9999811752826011f, 0.9999814682689360f, 0.9999817589573671f, 0.9999820473478938f,
  0.9999823334405153f, 0.9999826172352312f, 0.9999828987320406f, 0.9999831779309430f,
  0.9999834548319377f, 0.9999837294350241f, 0.9999840017402015f, 0.9999842717474693f,
  0.9999845394568270f, 0.9999848048682738f, 0.9999850679818092f, 0.9999853287974325f,
  0.9999855873151432f, 0.9999858435349407f, 0.9999860974568244f, 0.9999863490807938f,
  0.9999865984068480f, 0.9999868454349867f, 0.9999870901652094f, 0.9999873325975154f,
  0.9999875727319041f, 0.9999878105683750f, 0.9999880461069277f, 0.9999882793475614f,
  0.9999885102902757f, 0.9999887389350701f, 0.9999889652819440f, 0.9999891893308970f,
  0.9999894110819284f, 0.9999896305350378f, 0.9999898476902247f, 0.9999900625474886f,
  0.9999902751068289f, 0.9999904853682453f, 0.9999906933317372f, 0.9999908989973041f,
  0.9999911023649456f, 0.9999913034346612f, 0.9999915022064505f, 0.9999916986803129f,
  0.9999918928562480f, 0.9999920847342555f, 0.9999922743143348f, 0.9999924615964855f,
  0.9999926465807072f, 0.9999928292669994f, 0.9999930096553618f, 0.9999931877457938f,
  0.9999933635382952f, 0.9999935370328654f, 0.9999937082295043f, 0.9999938771282112f,
  0.9999940437289858f, 0.9999942080318278f, 0.9999943700367367f, 0.9999945297437123f,
  0.9999946871527541f, 0.9999948422638617f, 0.9999949950770348f, 0.9999951455922731f,
  0.9999952938095762f, 0.9999954397289438f, 0.9999955833503754f, 0.9999957246738710f,
  0.9999958636994299f, 0.9999960004270521f, 0.9999961348567371f, 0.9999962669884847f,
  0.9999963968222944f, 0.9999965243581661f, 0.9999966495960994f, 0.9999967725360941f,
  0.9999968931781499f, 0.9999970115222664f, 0.9999971275684435f, 0.9999972413166809f,
  0.9999973527669782f, 0.9999974619193353f, 0.9999975687737518f, 0.9999976733302276f,
  0.9999977755887623f, 0.9999978755493559f, 0.9999979732120081f, 0.9999980685767185f,
  0.9999981616434870f, 0.9999982524123134f, 0.9999983408831975f, 0.9999984270561389f,
  0.9999985109311378f, 0.9999985925081937f, 0.9999986717873064f, 0.9999987487684759f,
  0.9999988234517019f, 0.9999988958369843f, 0.9999989659243228f, 0.9999990337137175f,
  0.9999990992051678f, 0.9999991623986740f, 0.9999992232942359f, 0.9999992818918531f,
  0.9999993381915255f, 0.9999993921932533f, 0.9999994438970360f, 0.9999994933028736f,
  0.9999995404107661f, 0.9999995852207133f, 0.9999996277327151f, 0.9999996679467715f,
  0.9999997058628822f, 0.9999997414810473f, 0.9999997748012666f, 0.9999998058235401f,
  0.9999998345478677f, 0.9999998609742493f, 0.9999998851026849f, 0.9999999069331744f,
  0.9999999264657179f, 0.9999999437003151f, 0.9999999586369661f, 0.9999999712756709f,
  0.9999999816164293f, 0.9999999896592414f, 0.9999999954041073f, 0.9999999988510269f,
  1.0000000000000000f};

}  // namespace autoware_utils
